Class 8th Mathematics AP Board Solution
Exercise 8.1- Name five pairs of congruent objects, you use daily.
- Draw two congruent figures. Are they similar? Explain.
- Take two similar shapes. If you slide rotate or flip one of them, does the…
- If Δ ABC ≅ Δ NMO, name the congruent sides and angles.
- Two squares of side 3 cm each and one of them rotated through 45o are…
- Any two right triangles with hypotenuse 5cm, are congruent. State whether the…
- Any two circles of radii 4 cm each are congruent. State whether the following…
- Two equilateral triangles of side 4 cm each but labeled as ΔABC and ΔLHN are…
- Mirror image of a polygon is congruent to the original. State whether the…
- Draw a polygon on a square dot sheet. Also draw congruent figures in different…
- Using a square dot sheet or a graph sheet draw a rectangle and construct a…
- 7 pillars are used to hold a slant iron ladder as shown in the figure. If the…
- Standing at 5 m apart from a vertical pole of height 3 m, Sudha observed a…
- Draw a quadrilateral of any measurements. Construct a dilation of scale factor…
Exercise 8.2- Cut the bold type English alphabets (capital) and paste in your note book. Draw…
- Draw lines of symmetry for the following figures. Identify which of them have…
- Name some natural objects with faces which have atleast one line of symmetry.…
- Draw three tessellations and name the basic shapes used on your tessellation.…
- Name five pairs of congruent objects, you use daily.
- Draw two congruent figures. Are they similar? Explain.
- Take two similar shapes. If you slide rotate or flip one of them, does the…
- If Δ ABC ≅ Δ NMO, name the congruent sides and angles.
- Two squares of side 3 cm each and one of them rotated through 45o are…
- Any two right triangles with hypotenuse 5cm, are congruent. State whether the…
- Any two circles of radii 4 cm each are congruent. State whether the following…
- Two equilateral triangles of side 4 cm each but labeled as ΔABC and ΔLHN are…
- Mirror image of a polygon is congruent to the original. State whether the…
- Draw a polygon on a square dot sheet. Also draw congruent figures in different…
- Using a square dot sheet or a graph sheet draw a rectangle and construct a…
- 7 pillars are used to hold a slant iron ladder as shown in the figure. If the…
- Standing at 5 m apart from a vertical pole of height 3 m, Sudha observed a…
- Draw a quadrilateral of any measurements. Construct a dilation of scale factor…
- Cut the bold type English alphabets (capital) and paste in your note book. Draw…
- Draw lines of symmetry for the following figures. Identify which of them have…
- Name some natural objects with faces which have atleast one line of symmetry.…
- Draw three tessellations and name the basic shapes used on your tessellation.…
Exercise 8.1
Question 1.Name five pairs of congruent objects, you use daily.
Answer:Congruent Objects have the same size, same shape and same angle. If you place a congruent object in front of a mirror, the image that you see is congruent or "equal" to the object. They completely overlap each other.
Any five pairs of congruent objects you use daily are:
a) Biscuits of same pack
b) All A4 sheets
c) Two bangles
d) Two balls of same brand and same size
e) Two earrings of the same set
Question 2.Draw two congruent figures. Are they similar? Explain.
Answer:We know that two figures are “congruent” if they have the same size, same shape and same angle.
When two figures are “similar”, their angles are same. But that does not mean they have to be congruent. Whereas “Congruent” figures are “always similar”.
Example 1:
![](data:image/png;base64,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)
Above two figures are congruent as they have same size, same shape and same angle and all congruent figures are similar.
Example 2:
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Figures given above are similar as they have same angles but are not congruent.
Question 3.Take two similar shapes. If you slide rotate or flip one of them, does the similarity remain?
Answer:![](data:image/png;base64,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)
Two figures shown above are similar to each other as they have same angles.
On rotating figure on left by 180
, we get:
![](data:image/png;base64,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)
We see that the rotated figure is similar to figure on the right.
Question 4.If Δ ABC ≅ Δ NMO, name the congruent sides and angles.
Answer:Given: Δ ABC ≅ Δ NMO
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwkHBgoJCAkLCwoMDxkQDw4ODx4WFxIZJCAmJSMgIyIoLTkwKCo2KyIjMkQyNjs9QEBAJjBGS0U+Sjk/QD3/2wBDAQsLCw8NDx0QEB09KSMpPT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT3/wAARCACAASIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAqnc3kq3QtraJZJfL8w7m2gDOPzNO1HUbXSrKS7vZRFDH1Y/oAO5rPsL2w8SR/bdMu5FdAYnKjawB5wQw49QaANeNi8SsyFGIBKnqPan0yGJYIUiTO1AFG45P50+gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKa7rGpZ2CqOpJwBTqoajC7zWsvlGaKJyXjHJORgHHfBoAvAhgCCCD0Ipap6XC8FqwdPLDSMyR/3FJ4FXKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoopCQqksQAOSTQBzXjm3TUdJg01D/pdzOvkeileSx9gM/nVTwZpo8O6jfabdSCS5nCzRygbVkQDGAPUHr9auaWTquoz6zID5bZhswe0YPLf8CP6VPrNlLc26T2ZC31o3mwH1PdT7MOK6OSKfI9/1/r9TDmk/eX9I3qKqaZqEWq6fDdw8LIOVPVW7g+4NW6waadmbJpq6CiiikMKKKKACiiigAooooAKKKKACiiigAooooApazLPDot7JaMqXCQu0bN0BA4rivhzfarPqVzFfTXTQtAsoW6LbiSfvLnnHXOOOldHr0h1K+g0aMny2AmuyO0YPC/8AAj+gNJrNtKEh1CyTN3ZHciD/AJaJ/En4jp7gVtGmrK+7/pGTm7u3Q6CioLK7iv7OK6t23RSqGU1PWTVnZmqdwooopAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFYXiSd7jydHtmKzXmfNZescI+8fx6D61szzx20Ek0zBY41LMx7AVgaHHJctPq90pWe9I8tT1jhH3V/HqfrWtJW999PzM6jv7vc04okgiSKJQsaKFVR2Ap9FFAGRE/9h6/6WGpPz6RT/wCDD9RXSVk6hYxalYy2s3CyDhh1U9iPcGjw/qMt5avb3mBfWjeVOP73ow9iOac1zR5uq3FB8r5TWooorE1CiiigAooooAKKKKACiiigAooooAKr315Fp9jNdTnEcSlj/hViue1J/wC19cjsF5tbIia59Gf+BP8A2Y/hV048z12InKy03HaLbSx28l3djF5eN5so/uj+FPwFaVFFXJ8zuSlZWMuwf+xdaayPFlfMZLf0SXqyfj1H410NY+p2C6lYvAWKPkPFIOsbjlWH41PompNqVhmZdl1CxiuI/wC646/geo+tFRcy5vvCD5Xy/caNFFFYmoUUUUAFFFFABRRRQAUUUUAFFFFABRRVbUb6LTbCa7nP7uJSxA6n0A9zTSbdkJuyuzH15zqmoQaNGf3XE94R2jB+VP8AgR/QVqcDgDAHQCs3Q7SWG2kurwf6beN503+z/dX6AcVpVtOy91dDKOvvPqFFFFQUFZGrbtLvYtahUlYx5d2g/jiz976qefpmtekZVdSrAMrDBB6EVUZcrFJXRcR1ljV42DIwBUjoRTq5/QZW0y8l0SYnYgMtmx/iizyv1U/piugqJx5XYuEuZXCiiioKCiiigAooooAKKKKACiiigClq+orpWmy3LLuYfLGg6u54VR9TVHSLFrCxCzNvuZWMtw/96Q9fy6fhUEj/ANs+ISetnpjYHo85HP8A3yP1Natb25Y8vV7mN+aVwoooqCgrJvWOj6rHqq8W02IbwDsP4ZPwPB9jWtTJYo54XimUPHIpVlPcGqi7PXYUldaF8HIyOQaWsPw9cyW7y6PdOWmtQDC7dZYT90/UdDW5Wc48rsXGXMrhRRRUlBRRRQAUUUUAFFFFABRRRQAVzuov/bGvR2S82lgRNcejyfwJ+HU/hWnrWpDSdMludu+ThIo+7ueFH51T0ewOnWCxytvuJGMs7/3pDyf8PwramuVc/wBxlN3fKXqKKKkYUUUUAFFFFAGdrNlLdWyTWhAvbVvNtz6kdVPsRxWnpeoxarp0N3DkCQcqeqsOCp9wabWRG/8AYev56WOpPg+kU/r9GH6irtzx5eq2Jvyyv0Z0lFFFYGwUUUUAFFFFABRRRQAVma9qL6fp/wDo4DXc7CG3X1c9/oOv4Vp1zlo/9sa1LqR5trXdb2o7Mf43/oPpWlOKb5nsiJvSy3Zc06xTTbCK2Q7tg+Zz1djyWP1NWqKKbbbuxJWVkFFFFIAooooAzNZt5dsWoWa5vLIl1Uf8tE/iT8R09wK2bK8iv7OK6t23RSqGU1DWXYP/AGLrbWbcWV8xkt/SOXqyfj1H41dueNuqJvyyv0Z0NFFFYGwUUUUAFFFFABRRRQAUUVleINRksLAJa83lywht1/2j3+gHP4VUYuTshSkoq7KJf+2vETSdbPTSUT0ecjk/8BHH1Na1VtOsY9NsIbWIkiMcserN1JP1NWa1m03ZbIyimtXuFFFFQUFFFFABRRRQAVXv7KLUbGW1m+5IMZHVT2I9weasUU02ndA1fRlbw/qMt3ayW14cX1m3lTj+96OPYjn861q5vVg+mXkWtQAkRDy7tB/HDnr9VPP0zXRRyLLGskbBkcBlYdCDRUiviWzCm/svoOooorI0CiiigAoopGYIpZiAqjJJ7CgDI8RXkqW0dhZti8vW8tCP4F/if8B+pFTWttFZ2sVvAu2KJQqj2FZ2kk6leT6zKDtl/dWqn+GEHr/wI8/TFa1byXKuT7/X/gGK958wUUUVBQUUUUAFFFFABVTU7BdSsXgLFH4aKQdY3HKsPxq3RTTad0DV1Zkeiak2pWGZl2XULGK4j/uuOv4HqPrWjXN3zf2Nqiaqn/HtLiG8A7D+GT8DwfY10YIIyOQaVSKT5lsxwd9HuhaKKKzLCiiigAoqG7uUs7SW4k+7GpY+9R6be/2hZrMYzE+Srxk5KMDgjNPldriur2LVc3Yv/bGszao3NtBm3tPQ/wB9/wATwPYVZ8SXcvkRabaNi7viYww/5Zp/G/4D9TVm2torO2it4F2xRKFUewrWK5Y36v8AL+v1M5PmlbsS0UUVIwooooAKKKKACiiigAooooAQgMpVgCpGCD3FZugynS76XRJmPlqDLZsf4o88p9VP6YrTrP1mxku7ZJbQhb21bzbdv9odVPsRxVxs/dezJlde8uhu0VT0vUY9V02K7iyA4+ZT1RhwVPuDWPoNzcSXNr5kpkWa3ZnxKX+YMMFgfu9e1Qqb1v0Lc1p5nSUUVz+r61daddXeNn2dIF2uRykhzjPscY+v1qYQc3ZDlJRV2dBWF4ima7kg0aBiHuvmnYdUhH3vz6fnWvNcx21m9zcMEjjTe7HsAMmsTRIpJRNql0pW5vSGCn/lnGPuL+XJ9zV01b330/Mmo7+73NJEWNFSNQqKAqgdgKdRRSAKKKKACiiigAooooAKKKKAGSxJPC8Uqh45FKsp7g9ap+H7h7Z5dHunLTWoBhduskJ+6fqOhq/WbrNtNsiv7Nc3lkS6KP8Alon8SfiP1Aq46rlfX8yZae8jeJCjJIA96MjOM8+lZOobNe8OA2hLx3PllSOCBuBP5f0pmjQXg1Ce6voijywopycgFSw/lz+NRye623quhfPqkkbVFFFZlle9so7+FYZifL3qzKOjYOcH2rL1LUNN8IW0t1OZFjuJRthjXOXxztH4ZNblZHiTw5beJbBLe4kkiaN98ckfVT079RVwkrpS2IktLx3MTQNZstXuLrWp7mKKSRjBFFK4VoY17EZ6k81snV9OHW/tB/22X/GotH8G6TpFkIPs0dy5Ys806KzMfy4HtWgNF0wf8w+0/wC/K/4VrKdNvqZxhNLoUzrWmD/mI2n/AH+X/GmHXtKXrqVp/wB/RWiNI04dLC1H/bFf8KeNNsl6WduPpEv+FTzU/Mrln5GSfEejjrqVt/33Tf8AhJtG/wCglb/ma2hZ2w6W8I/4AKd9lgH/ACxj/wC+BRzU+z+//gByz7r+vmYR8T6MP+YjCfpn/CkPinR/+f0H6Ix/pW+IIh0iQf8AARTgijooH4Uc9Ps/v/4Acs+6+7/gnO/8JVpP/Py5+kL/AOFH/CVaV2mmP0t3/wAK6Sijnh2f3/8AADln3/D/AIJzf/CUad/D9qb6Wz/4Uv8Awktofu2+oN9LR/8ACujoo54dvx/4Acku/wCH/BOc/wCEig7WOqH/ALc3oHiGM9NO1U/9ujV0dFHPD+X8Q5Jd/wADyrU/Gt3oHiG8/s628m3fZLLb3aFWZyOWAzxn+Yr060EbQJNHCIjKoYjbg8jPNR3WlWN7cRz3VnBNLF9x5IwSv0NW6VSpGaVlZ/mOnBxvd3CoZbWCYSCWGNxIArhlB3AdAamorK9jQ8x1zxnc3viT+x5LQGwjvFieGMEzSgHp6cnBx6V1v9szdtF1M/8AbJR/Wtj+zrP7d9s+ywfasY87yxvx9etWa3dWNklHbzMVTldtyOe/ti5PTQ9T/wC+U/8AiqP7WvD93QtQ/EoP/Zq6Gip9pH+X8yuR9znv7S1I9NBuvxljH9aP7Q1XtoM/43EddDRR7Rfyr8f8w5H/ADfl/kc/9u1c9NCf8bpKPtWtnpoqD63a/wCFdBRR7Rfyr8f8w9m/5n+H+Rz/AJ+vHppFuPrd/wD1qPN18/8AMKtB9bo/4V0FFHtV/Kvx/wAw9n5v8P8AIwN/iA9NPsV+tyx/pQF8Qn/l30xfrK5/pW/RR7X+6g9n5swfK8Rf3NKH/A5P8KUQ+Is/8wof9/DW7RR7XyQez82eZeGdO8T2XjICeO4jtvOka4OT9nZTk/KOnXGMc16bRRSqVHUd2hwhyK1wooorMs//2Q==)
Congruent sides:
a) AB = NM
b) BC = MO
c) AC = NO
Congruent angles:
a) ∠A = ∠N
b) ∠B = ∠M
c) ∠C = ∠O
Question 5.State whether the following statements are true. Explain with reason.
Two squares of side 3 cm each and one of them rotated through 45o are congruent.
Answer:True
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)
On rotating the square by 45
, the length of side, angle and shape remains the same. Hence, they are congruent.
Question 6.State whether the following statements are true. Explain with reason.
Any two right triangles with hypotenuse 5cm, are congruent.
Answer:True
For a right angled triangle to have hypotenuse equal to 5 cm, the other two sides have to be 3 cm and 4 cm as the only possible way. As,
by Pythagoras theorem for Right angled triangles. Thus, any two right triangles with hypotenuse 5cm have same angles and are congruent.
Question 7.State whether the following statements are true. Explain with reason.
Any two circles of radii 4 cm each are congruent.
Answer:True
Any two circles of radii 4 cm would completely overlap each other when put front of mirror due to same radii of 4 cm. Hence they are congruent.
Question 8.State whether the following statements are true. Explain with reason.
Two equilateral triangles of side 4 cm each but labeled as ΔABC and ΔLHN are not congruent.
Answer:False
Two equilateral triangles of side 4 cm and angle 60
each but labeled as ΔABC and ΔLHN would still be congruent as they have same sides and same angles.
Question 9.State whether the following statements are true. Explain with reason.
Mirror image of a polygon is congruent to the original.
Answer:True
Mirror image of a polygon would have same sides and angles as the original and thus, is congruent to the original.
Question 10.Draw a polygon on a square dot sheet. Also draw congruent figures in different directions and mirror image of it.
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmoAAAGjCAYAAACc3TmeAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAGTVSURBVHhe7Z0HgFXF2f7f7buwu/TeRRCwKxbsvYs1lhi7xm6MRo2f/vXTqHwaiDVqLDHGJGpi7DHEimAHe0GQKr0uC9vrf55ZLlkQdpd777n1N8mV3b3nzLzzm3Pe88w75WQ3umQkCEAAAlEksHjxYpNr6dWrVxRzJSsIQAAC6UcgO/2qTI0hAIEgCUyZMsUuu+wya2hosLvvvttGjRoVZHHkDQEIQCClCSDUUrp5qRwEYktg4sSJ9tBDD9nw4cN9RO2+++6zyspKO+CAA2JrCKVBAAIQSBECCLUUaUiqAYF4E6iqqrK3337brrzySvv++++tpqbGdtppJ3v22Wdt9913t3bt2sXbRMqHAAQgkHQEEGpJ12QYDIH4E1i+fLmNHz/eunfvbgcddJBlZmZabm6uXXvttZafn2+fffaZVVdX27bbbmtDhgyxnJyc+BuNBRCAAASSkABCLQkbDZMhEE8CK1assHHjxlm/fv1M89EkyI4++mgv1iTSlJqvUQr9LZ42UzYEIACBZCWAUEvWlsNuCMSJwBdffGFLliyxQw891LbZZhvbbrvtfmSJhjkl4EgQgAAEIBAZAYRaZPw4GwJpR6C8vNw09Pnxxx/bhAkT7Fe/+tW6xQL6+wMPPGDvvPOOnXbaaWnHhgpDAAIQiDYBhFq0iZIfBFKcQGlpqfXo0cOuueYa69q1q7300kvrhFphYaEdc8wxfqWnFhOQIAABCEAgMgIItcj4cTYE0o6AhjsVSZs3b55NnTrVtthii3UMNB9t++2394sJ1qxZk3ZsqDAEIACBaBNAqEWbKPlBIMUJSIjtv//+foWnImvnnnvuj2qsaFpGRkaKk6B6EIAABIIngFALnjElQCClCEiAaf7ZT3/6U8RYSrUslYEABBKRQEoItYqKCs+WDTUT8RJLfJu0lcTq1autQ4cOiW9sAllIxCyBGgNTIACBlCWQ1EJt6dKl9qc//cm++eYb30DaJuCMM86wbt26pWyDUbHoEtCu+a+//rppJaOG8U466STbbbfdolsIuUEAAhCAAATCJJC0Qm3lypV2/vnn25w5c2zgwIF+g02JtomTJtlf/vwnKyruGCYSTksXAmPHjrU//OEPNnjwYCsoKLDJkyf73fbvvfdeO/DAA9MFA/VMEgKff/65ffjhh/5l97vuuquNHDkySSzHzEQkoMU+RUVFiWgaNm1AYLOEmhpWq7oS4XUwioTMnTvXO6zQEIwiIh9//JE9+PgzduJPz7aG+npX3UYaHQLrEcjMyrY5M6fb08/83XZxD7ui4mL/8NPrkPSOykcffdT23ntv/0okEgQSgYA6FX/+85+tY8eO3t89+OCDPvp7w/X/YxmZWYlgIjYkCYF//etfvkOq6R4afTrhhBNs1KhRSWJ9epq5WUJNS+5LSkr8PklKimpNmzbNFixY4Hcqlzrv1auXjRgxwvr06RMY0XonwL7++mtflpxWXV2dL0sCcosBfe2upyba4z9sa5kZWS7S1hCYHWScnAQysvNt5df/sr5ZOdahuMiqa2t9RSTWdE3pFUnz589fb9uJ5KwpVqcCgTfffNN3Hnbcccd18yhXu73snnjiCdt+hx1stHt9FwkCbSHw8MMPm0S/RqE0p1sjUhJueiXcEUcc0ZYsOCYOBDZLqNW6B9q///1v7yz00c8LFy70P7dv3940Z0zv/tOcH0UkDjnkEMvLy4t6tSTOFO2QQNP7BUNJf6+pqbWO7XNtSK9C92e3PUCjomokCPyXQGZOni1a2sHqlv342pBYU0cgEaLGtBkERODtt9/2HQhF00Kv5ZLPHTpkC7vj0Zdtwqrh3tc1yte5AYSszAwryPuvX9woRXdcQV6WZbtgnJs1stGk3VXa52W7znDr7ZDljmnxMPdlVjNfvakcs5zZma0UmK3CWkg6PdsxaC0pH2W1yTEX90WmyyenhfJ0rspSXi2N3cia3OzMTTLSuWq33OyW7dZxeS4fj3IjBepPqnqea9jmGDOzsmzxwvn2+J+cuN9+O+vSpav3cz179vTP6EceecRvuaMpIKTEI7BZQi07u+lwCTSJJO1KrmX6muOjIVEJOUXW3n33XXv55ZdNO5iffPLJUX/oSZzttdde9uKLL/oLTbuh66otLyu3GbPm2NU3XmDHnbidmyDu3jW4KS+UeG2BRTEikONE/uJFRXbhWU/bnB9+sEGDtnDRtKaHnCLEWkwQZEQ4RtWkmBQgoLm3WtWuh6k6EaHU4P7eLj/P3p+1zKZNnGfZOW6YXtfw2tTQ0Gg6ZlNJcqCuXse4H1rQBjqmLUl2tp5aFyFNcqcVIdZaQe50iRXVbVM5hQRNSyU1HZPh82qpdjomYxPCKWSqRFOOVGgLSeKrJVGoU2VHrstHAnJTQk1l5W4gLjNz3CjC1Lesmxs86NK507q3huia0pShxYsX26xZs2zrrbdujS7fx4HAZgk12ZfllLlEmtS4GnXDse0uXbrY0KFDvYB69dVXfS/wyCOPjPp+S8rzgw8+sFdeecV699Qqzwybv3CxHXrkcXbM6KMtyw15tm+tVxkH4BQZfwIZGQ02dHBfu+yKq+3OMf9rZatLraiwvS1etsLN2ehuV1111XqR2vhbjAXpSkCjBMOGDTMNf/bv39/731CaO2+BnXzwcfaT83a2qopa99xukhMSH7X1DV6ItSREquucUGtJzbh8auoa2tTX1XGSkZsURs60GldeS6nJ7pYFps6vc3VrMSf3pfRlvatbS/XX961OjHH51DUTyBuzXxrVC94Wko6pqKlvUYbKnqqahlYjmFW1LurfQt1kio5pnjSKkNe1yGrmbbzGeqYzipC4XmazhJoiZmVlZb42UuKakChHcvDBB/uIWigp8nbUUUf5V8xMnDjRizkJuGgmXVR33HGHjdr3ILvydy+4GzPDbvnNtXb04Qe7myHDqmua5q2RIPBjAo3O2dfaMccda0O22spuuu/v9s5ns+2Kk0+yK887IerXKi0AgUgIHH/88fbcc8+5Vckf24ittvQ+d9r3syy3oMiuuPAsN6JRbFVV6/s7F+NpLTDVStyqyeK2DHv649pSwTZk1pZ82pBNW6xpm81trtymi1SdJNS86G2BlcSehGpLSXnVSKi2IgyVT/NjcnKy3Zzyrnbx2U/Z7NlzbPCWW/pnuK4TbW81ZMgQPzJGSkwCmyXUBgwYYIcffvi6eWdS4RJvWj3SXKipqhqeHD16tM2cOTPQce+DDz3Y+kzuZnXuqtzvoB3dXIFGq6xumhxOgsCmCGioprq6zrbddrjtdPjZNiVrrh1y3Egn0pijwVWTWAQ0xUSLCe65/0F7/vWPrdY90Q8eta9dfPFF1rtfPytZXZNYBmPNRgm0JjC9SG3lIOkzDaG2NKSr7/JzNjDB/XHwgO52qRtFuP3m662ivMwvpFqyfKV7dhfY1VdfvV60liZMLAKbJdSkuvVpa+rnnIg+QaaKcuek/CRaJ9DcXI5izdUgQaANBCTWKitrra62xs1DccMOVZXuLIRaG9BxSIwJ9O3b124dc5t9mDnBSt01e931B1nvThm2ugyRFuOmCLu41qJgPkjW2kHhl2515bV2+FFH2BYucvab+5+21z+eYT8ffYRde+FJ1rt377Bz5sTgCWyWUAvenDBL0MUd2AUepk2cljwEQtcP11DytFkaWlpZUWd5hZ3dir4636moqqJTmoaXQdhVVse0qrLGtt1mK9v96PNtYv33duiJOzmRxqa3YUON0YmpIdRiBItiIAABCMSLgB60jW5uZWN9nX8TCwkC4RCorNSUpWq/HUhVdZXLAqEWDsdYnoNQiyVtyoIABCAAAQjEm4AfRXArQBH88W6JNpWPUGsTJg6CAAQgEF8CmiTuVxCu/cTXGkqHAARiRQChFivSlAMBCEAgAgJa2V7nVnxqJ/xW9k6NoBROTQcCoVWjBNSSo7URasnRTlgJAQikOYEatzdWtfto13ntYM88tTS/IMKoftOebm5RgdsQV/vxFeT+dwPlMLLjlBgRQKjFCDTFQAACEIiEQPOhz0jy4dz0JqCh89DGujmtvFs0vUklTu0RaonTFlgCAQhAAAIQCJxAaF9dhj4DRx2VAhBqUcFIJhCAAAQgAAEIQCD6BBBq0WdKjhCAAAQgAAEIQCAqBBBqUcFIJhCAAAQgAAEIQCD6BBBq0WdKjhCAAAQgAAEIQCAqBBBqUcFIJhCAAASCJ5CIG95qQnpmpjbjbbLObfWWNEmT6qMxoT5a+SQNOAyNKQGEWsC4vc9q7ricYwhtNrhh0XIYodU4GzMrlFdLx2yqOq3l3RYM3qG1YH9b8uAYCEAgPAL1bg+1mvoGK8zJcnupZUZFYIRnSdNZcgdu713r2C7b1lS590fWNViW29+t2P1eVlVv9U6xbcrXRVJuNM6V7XnZmd5GbSQciZ15OU6lugyrXf1JEAiCAEItCKpr85SwyXaOq1P7bP8CXKU1zoGVu09zsRXqkXZqn2Pl1fVW7TcjXN8w9VKL8rNczzXDSivqvINsS1LeuW6vnA7Oea5y59XWOafUxnOb5698uhTm+I0Sy5yNbS2/LTZyDAQg0DoBp9H8mwly3M2nT7wDV5lO3rTPy7Sv55XZQ2/M9xVwWtJGDelgZ+3b20rKm14ev7GtIPzf1nb8vOhrVpl1/kmvo1yLxbustX4r1OkMnbNhNGvD8pqfGypLIm3O0kqbNK3Efn5AXyt1LyoPpY0d37x1Qvk3uPboVpxjz3ywxD76vtR+c/Jg77tDEcXmdjWvk7dhE/VqVs316tv61dHWI7RRsllVTb1/u0V790whJT4BhFpAbaQbUTeBdhG/+98/2Io1tf7nI3fuZjsMKLIVZbVNJa8dNlDP7vEJC2zHQcU2tFc7L4iae2LlNWnqKlvteq6H79jVKpzY25jz2NDp5TqHtNKV9fT7i22/rTtbjw65VidvGnIWG3OQGzhOiTKJvb+9t8gG9WhnOw0s8mJt3WtI/utD1+/lN4u+bcwRbzjkEI6ADKj5yLYVAv/4xz/so48+8rubn3vuuTZs2DCYxYBAogx9ym10aJdl//58ud03fp7dedoQG7lFsS1eVWMn3/2l66Bm2imjenihVuF8WZ2LNhUVZFtljYRMo7VzO+JLdFa53+Xbatz3ihgW5GWt832FBe5n972OK3CCsMblo41aQxEs+UgNuea7iJYEklJ7d758ZFZGpheR6hhrU1edU17tOsDumHbu7/JnL32yzL6ZX2YXHNh3Xcv5jm1Ohvs+00cF5ZMKnX36WZ3ufBfNLK9uEnWFrix1wFc63/7Diipvh9RVpRNBSspDvlZvkZB4k43KS0kdch2f6QrQz3nOnhyVqZ/d3/WaMP1d/+bmyvb/+ttoXGYh3+tMIyUBAYRaAI3kRZpzBiVOIP36qRk2oFu+Hb1TV1vubujr3e9nut7mT3bv4Z1TvrsJdTMqHb5DVz9soJu6g3NqBe473ej6vdH9b5cti93vDZbn7q48F33LyHCvk3E3t5xXSXmtc3Tmz+ngInjKsdpFzxrdyTOcHX94Y4Ft6wTigC75tsYdqO87ubL0oJUD0o27qqJ2XcStU2G2HxqQk1ztInH5zrH+7b3FdrQTmvsM6+iHDCqc45Oj7OxsKXPOUXl0clE3OWf9LLtWuV61HGVHZ5PqWeNsUjlNxzZdfipHvdOSZuUH0CxkGSUCK1assFdffdVOPPFE69evn/Xo0eNHOeu6IqUugdAD/p8fL7XT9+7lRVppZb317Jhrd5+1lY9Wya+8+XWJPeyibbr/+3fNt+uOGWSz3XdXPDfdBjq/uGhVtfcJt5+6pfXpmGdPTFxkr3+5wou3CifSDty6k+3vOpg3PDPHD69u37/Isp0/WVJaY78ePdCJriy7/PHv7NhdutthO3Sx3748176Ys8aDP32fXt6nPvzmfJv03Srr53zf1AXldsh2XZz/7W6fzl5jUxeW2VOuE3vcrt29KOzsfNJjby+wt74psWLngyUeD3bH/3TPnj7q9rtX5tp3i8qd0My0vYd1sjNcGfJv3Ypz7bmPl9nHM0ttzClberF5x0tzbGfX8R7Rt73d/sJsL9gkYOX7bjlpCy/Kbn52ln8O6G75xeH9bQfXCb7tudk2c2mF61TneSF5miv7uF172Ern46N9V8U7Kpu6d0h0a4ZQiy5Pn5t0l96hdst/ZvnhQt24oaRe1JgX5jjn08nmLKu0L+aWeZG1rXNA9U6EbdmzvfsUuJt+qftujXNmBb6XecCITrZgZbWtds5ieJ/23vHIGUxfVOF+b+cdVUFBpi0oqbY7X57je2pDehV4J5rneoga+pRQappX0jSD9tmPljgxZTZ/RaWfHHfWvr2sOD/HlZdhf3fh/C+dbd1cBO6ig/v6Xp4cl0TV3z9cYgOc092mb6GbM9NoT7lI225uuENDt7c8O9PynBPr7hyXnNdB23bxjuih1+fbfGf/lj0K7OQ9evre5QuTl3nB9/UPZdalKMdO2aOHE7jZVrXWcQXQNGQZBQISalOnTrVJkybZDjvsYNttt926XCXSa2pq/AexFgXYCZiFfIgiSepELnOCSR1RzU9TlF//btu/0HZ0guP96avsln/OsnvO3MoLkHP/8K3rMM63I3bsZh+6ocK9t+pot/xksJ1231f26qfLbT/n456ctMjuP3sr72v2u2WKDe/dzhN48+uVdrfL53Anxn4jIbOkwvskRaK+X1zho3T//GipfTprtT11+XZeAF746FTnS9v50YzP55TZuNOHeh968WNTnfDp5n2wOrVnOB+5xnU6lYc6vrOWVtnsJZX28rU7+I7mGb//2nYfUmxvO/H23vQSe/LSbXwn9cS7vrTtBxT6yJgEXd8ueXb/f0ptofPBmqbyrvPRR7kO+u/+NdfxKLZLDulrlzhR+cnM1V6s3fT3Wda1ONtuPXlLb/s1f/ve/nzJNjZ3eaV7NlTZA+cMt39/sdx+/5/5zo929iMy8rfRFmsJeIlh0gYEEGpRviTkxDR/RGH6z1yP7cojB3gHsLS01ke7DnbC5dG3FvjvpjmR9fvXfrC7ztjK+nXOs4se+86uPXqg7/UpeqWQ/Hh3o2rY8r2bd/E/y9Fc43qSV/1lmp23f1/bY2gHu8s5Ajm2vV2k6xd/muZ7h9u76Nm1f5vuenGZ3mk2v7slJLOdQ/rzxMW2uLTaOcZh9uKUpXbTP2bZva43rOibHOOlh/Sz175aYdc/PcPu+OkQL0DlHKcvrLBXP1tuf7poa/ts2ir744SFzpF1sP9xxw1yTnvkFh28k9TfjnTDtNf8dYaLzJn9ZLfu9vg7C21RSY1ddVR/G/vKHOvbOd8uPrif7/Vq7t11xw7yE6ajsRIryk1LdmsJlJWV2dZbb20HH3ywPfLII1ZVVWVnnXWW/3bp0qU2duxYe++99+z888+HWSoS0HQN17GTP1CHS/NeNZtC/T8JCf2enZthn8xaY/1dFGuXwcWewqmjerr7f4GNGtrRRbfybM9hHXzUbTvnq2a7Tmu7GZnOH+TZNv0K/fGHbNfV5ynxr0jdToOKvEBUZEodRiX5Ww1HKr325UonGgu8QNRxGq58zUXn1EHdb0RH33mUbYX52a5zWu3L1jwtzfvVnK2mVatuyNL9XSMHvVyETx1IdYyfd51KdaoVoetWlOsmDJv3bf/6bIU7LtcPd2punqJ2Kr9DQY6PIPZx/m3u8irn7wZ433nsyO6u7Co/HWXGknLXCR7q7Tt2ZDd72vn8z2av9kOgR7hyNNqi+qiWS1fXurzyPF9S+hFAqEW7zf2cs6Y5CZr86+dPaAjSlaN/lYqco/DzKNxxCo2Pdk5BYXDNr1A0avwnS+0Yd+MevXNXf7O/P63Un68wf2iOQ7/OLjLl5oCo9/rxjFL78oc13qGc7KJSh7pQ/bOuh6a5E9+4ib4Sahv2wkJzNS47rJ8XeNu5fE743Zc20c2De2nKMvuf4wb5Hu4oJwSP/u0XzvmU+iih5nac6SJvP733a7/K6RPXg9Wcu0Vubsoi15N86Lzh3pGe5IYWNNQ7xX2vIYanXS+3f9c8P6R77VPf2/FOTHYtzPX1PHi7zm4eS7096YY9NNQqh9lEjJSIBBRFe+yxx7xpCxcutMmTJ68Tat27d7fbbrvNHn30USsvL09E87EpUgLOedQ78ZTp5j10XDvtQX5Os8Q0gjDLRbu+clFyRdxy3d91T0vYue7Xeh2w0IvBFVWvdBEqddQknhSBz3Z5d3UT9eUG5AkkZiqcj1RSxze0mMkLxrX+VnPH1rgRh0nflXjVeIQTUrtt2cHPowuNxMtnyS7NXVMKdQibexsdG3pZufy4/J5s09CoRKHslj0N7kt1yHWu6i5/LtE5xQlU5bunixh2djxC8+dUXjcn/BS188LW/a6os4Z+fXJ/CM0fDjlsRSj1vUSnHwkhpSUBhFq0m93dS7qBM9Trk/Ny96C/qd2/rpPpe4eaa6EImCJLGuqTo9JKUDkpDYMud70nzftS0pBlr065/phQkqNSdK551EmheM35ULTulU+W21A3ZNDX9e5au7eH9mrvs5WoLHKTd5eurvF2FLvQvRysSpVz0ZCr70E7p6EoWPcOOfa3dxd7oabhVQ1rah6KRJrS0N7trdLNFVnqhkaKnMBUb1AOS/PSdMyCkio/JNs0AdeVr60HnFPSnLp1K8Ki3TbkFxUCn376qb3++uu2++6727PPPmtnnnnmunz14MnNzbWcHPeAqq6OSnlkklgEdId7EeYEx5FuaO9pN01CUxx6u8iS3NT/uHm4W7gpDgds09lFopZ4gaMO5sczVvvFTJrMLx+mealKoX+3dpG0f7lIvRdizi18MWe1E1odvWZpvjebhJOEljq281x0SkON6kD27pTnRZWi8ko3PDPDL17w5zfbOUN+U35Yfi4UmVMULdSRlt/7Zn5TJ6PUDX1Oc3PSfnlkfzfFY7F9NGOVXXBQH++PJ3xb4kY3BvgOaePa/H+yWw8756Fv/LSUCw7s4+1SB3u2G04d5nziZ246i+b8ami0XW6260iX+0ihonWqx8DuBV4INq8vowuJdf3HwxqEWpSpeyfm7rKOzmFs26+9vexWFml+QQ8nbCTYFIqXGNLkW80B8w5rrQbTza89ibo6YaStNJRqnYLSRP0NBZfvxa29g/WPBM9jby+0uW5uw7NXNs0ZOu3+r9ZzUBurqib2anGAJJmcS0/nSOUoFOGTvZXOJg23yrHITvUgZcuBzglLFEqcaYjzQ+eEfa/TfS9b1LPVz13dcIPykjDTMIhWhWmSsJyqepXrepBruRFHi/IFGUB2mpP25Zdf2vjx4+2EE06w448//kel6EFISl0Cal7d46ft2cvN6aq0sx/8xvu06W6+WLFbDXrjCVt4IaU5Y5qbpnm0UxeW2+/cPLHyqgbfaQtdIorOSbzsOriDX/V+yWPT/KKqqQsqXFSq09qFSU2RK52jYcIXXdRfQkxJncjGxgw3B6yfXeemX/zqL9OdbfW+M6tRhv+4KSPNO7q1TrXVuQ7nLs5ezYnTfNyjdupmtQ1NPlcrUrXdxlVPTrdlzlfv5SJjEllanPBrN43jl+7vmt6i6NlhbojyMecH5fPV0dTcXXVitUpziFu9L195/gF97MHX57l5eav83OJad2yx6xRfdfQAu/PFOX4IVHONLzyor3tmFHqu6uwrNS3KYipI6t5JbasZQq1tnDbrKPXe5IguO6y/myf2vZ/jdZQb3tRQ5D1uq47z9u/je5YSNuoZhvbb8fucOfWy7/DOfisM3fSvurC9ln5rtVCFmwcR2khSx4acj1+67TLZZct8vxpKw5caWtWKq5NHNW3HETo+JPj0r0L1WpE1zEXfNCdOw5/7uuFODaPKTn0//vMVziEV+nkld7pVTH7bEJck1DSp9xQ370TL7vdwYu0x9++97rzdh3S0J95Z5IdENbS7tROsd7401051w7KPOKemIVUtkhCP0CaRcnJy1qTEJ6CI2TnnnJP4hqaYhU2RoKa5YK1FyoOuuspXh6soP8Nuc/uHfeCmRsjH7OFEjeZqSYzIX/0/J9i0glLDkhc5IdLZTXdYnVtnj12wtd+DTHO1ztmvt/dl9c5xKjrvI+uunupE+tWibqTgkZ+P8IuVtK2R5oE9fuEIP5d3kItA/WyvXn6VaE+3SvL35wxztqzy/vJAt1pUndlznb+VkNKqSU07+YObnqG5Z5qzNvY0N0fMRdNUfkg4yl/KR2l1qMSehk+1qEAdzQfOG+bn3mlUQPOD5ecl8rQCVD5Yf1dUbw/nL8VIIyUSdFowoKFbCdB3XCQux4UMD3CLGfq40RLNVT7S5bGrm8un4292CywUiRObQS4y+egFI3znPRQdjEbbhgZR6U9Fg2bweSDUAmCsG1QirLsTY3+9bBs32f8HN+9rqR8quMPtNyRBJMGjSJtEUCgKJQGnIQP1qjQsONHNtVCErZ8balRofr8RnV0ovtbdtG4lpnd6unnr7dDtu3iBd6RbTSXx86/Plnlndv9Zw/zEfN3k6q3JMdXU/renluUM3cLti6aFAZqs+6ujBnqHpn//8u4itypzqV+5ecPxg/wE11PdMnGtolLayvUwh7if99iqg3dwWpn64LnD/OrOT92EWC1Jz3JzfOVw7naLJR55a6G94HrBcmDaDFOO8WznoDVxWA5MPVb93hQpDKBRyBICSU5A97KEQZ6bJ6VpFfF+yGoqhDqO6mxJzKhj1xQda/qbxEBtXa3reErENM2zktDS/C9NuVDkSMONEk3q7E11w43XuY7tPu54HaOtMjSpXvWU39HxWpSkbTI0rWOw+5vEi+yQaFzhfGN7J5LkB2WHfLAWD8iHKalTrMUDykudW60G1UIHiblVzubQtFgJTA3VhvyqInaaJ6bV6No77TDnb+W/Qn/Xsb3cCMHClVW+Iyr3JfHYtM9bht3v9pnT8YoqausQraLXHnHqVPd3HVaxUNtqpEW+T75bUTTt+ybhJz+rCGGkb1BofvnreaH28XvSkRKeAEItoCYKiTUNA2rFTyjJschB6GbW8nD1wjSPS5ssau6DkpZjV7rJ9Wfu09vedKsuJaY0VKjeo5/P5m7gi91Sb/UQV5XX2yHOceimUw9Me7RtmOSg5Bz0vRxoaKLssjU1dqKbU6G8lLSTuJyLlryrZ2v6uKSespyS8pbT1PCllpNroYMcqfL8zg1rPPLmAr/nT3vXa/3QzeU4Y/deTRNunZP7xeH91pklO5TOc0MCct5yktrkV0v4Q86KabMBXZhkC4EoEpCfUwRK87RCSX8LTfZXZE3Dhz6tjQTqeM3FDR0nkVVeVeOHCrWFxtdu7zCtVtfeZZqju7KsKdIeOl4+SBGu5slHGd0fyp3IkggLHa+/a+qFkmwKnRuKSIbsDv0uQaQhVM3ZldCTbTovVB/5K32a569jGhrr/EIwbVOkoU5t+7FiTdNcNO2Zpq06JI6uOqqjX5EvwSpbNAeudG1FQnVQuaqMypS/l18OfReNpvNb6EiouUxDc4SjkS95BEcAoRYcW5+zhFllrdtTyv3sA0Vrhy704zK3aCDkvCRmtHJSE/qP3aWb3Tv+Bx+d0uuntOu3kr4PTbRXr095atLtOie5VkT5odTm9XK/hHa21ncams1yYkwRMgkk/1orOTN3nJyDbuLFTjw2t1m/SKDJAc11S+k1wfZKN8FWS8jldHx0zQ0FPOeWsWtTXolMbUWy3H2nXm1VKD8ZtlaFqQwl9XJXOxv00VeItIAvSrKHQJQJbGoo1t/LG7mhmx/v73nnA+RHtOhIgk1JgmjlWpGyobmbU96Gxa9XdrMv/VCl84M93bYcslkiKiTQQuVvrNzQNiVaJKGOq3y+hKT8mkSixJDmsoV8q/y+fw/qJhzdhn8PYpg7VHS8o7JRvgxTNjuEWsBNu6FDau60fuSs1PtzPTpNNNW+ZaGkeQslzd/vucENvu7X5k6neb02OF5OQlEw9fwkEOUgvUNae1zzw9dztO6XNc4ORb7Uc1QPcZl60k58adXpKU74nbbXf89Wvuo9N3d2LTrYgNuC7CEAgcQlIM/hO2zOB4b6c0GIlJYIhEZCvL7cjB6jjpUPLK9u6uCGzvXizPlajZo0r9Pm5J24LYZlsSKAUIsV6TaW09Srcze8dnZfe05oAnEbs2j1MJUhkaU5EnIeG/YaW8pASwlCofh1wTGXn+Z5LHOb+oYcUCiitxm+rlW7OQACEEhtAqGOYTz9RrgiqqXhyWgOXab2FUDtNkYAoZaA10UsQ9+b6xCbR9haHFJIQK6YBAEIQAACEEg2Agi1ZGsx7IUABCAAAQhAIG0IINTSpqmpKAQgkAoE/MavqVAR6gABCLSJAEKtTZg4CAIQgEBiENAbQ/QJvSszMazCimQkwKrP5Gg1hFpytBNWQgACaU5AK6i1SlubSGuvQ60mJEEgHAJ+IZibZNw+nw1vw+EX63MQarEmTnkQgAAEwiDQ9F7gtW8WCeN8ToGAthLQPppVbkN1LQaT6CclPgGEWuK3ERZCAAIQgAAEok6Aoc+oIw0kQ4RaIFjJFAIQgAAEIAABCEROAKEWOUNygAAEIAABCEAAAoEQQKgFgpVMIQABCEAAAhCAQOQEEGqRMyQHCEAAAhCAAAQgEAgBhFogWMkUAhCAAAQgAAEIRE4AoRY5Q3KAAAQgAAEIQAACgRBAqAWClUwhAAEIRJeANrzVJ8u9lYAEgUgINLjt+LiKIiEY23MRarHlTWkQgAAEwiIQescnD9iw8HGSI6BrR3un1bq3WmQ6wa//kRKfAEIt8dsICyEAAQhAAAIQSFMCCLU0bXiqDQEIQAACEIBA4hNAqCV+G2EhBCAAAQhAAAJpSgChlqYNT7UhAAEIQAACEEh8Agi1xG8jLIQABCAAAQhAIE0JINTStOGpNgQgAAEIQAACiU8AoZb4bYSFEEhIAnPmzLE777zTbrzxRuvZs2dC2phKRmlbBX3YUCGVWjU+deEaig/3cEtFqIVLjvMgkOYEbrnlFvv000+trq7uRyRyc3Oturo6zQlFt/p19Q1W7z7ZWZnRzZjc0o5AbYOZ3zcZxZYUbY9QS4pmwkgIJBaBF1980bKysmzXXXd14qF+nXFVVVU2depU++6772zgwIGJZTTWQAACpo2Ta90bLvyGtwi1pLgiEGpJ0UwYCYHEIfDtt9/a22+/bb/61a/srrvucsNxcv1NqayszF599VX75JNPbMiQIYljNJZAAALrCKDPkutiQKglV3thLQTiTuDzzz+3KVOm2JgxY2zSpEk2ePBgu/rqq71dXbt2teuvv94GDBhgJSUlcbcVAyAAAQgkOwGEWrK3IPZDIMYETjrpJBs9erTNnDnTSktL7bDDDvuRBRUVFW5YhX57jJuG4iAAgRQkgFBLwUalShAIkkB2drYVFhbaNttsY7fddpuPqJEgAAEIQCAYAgi1YLiSKwRSnoAWE4wYMSLl60kFIQABCMSTAEItnvQpGwIQgAAEIAABCLRAAKHG5QEBCEAAAhCAAAQSlABCLUEbBrMgAAEINCdQ39Bo9W4rlCy/UykJAhBIFwIItXRpaeoJAQgkNQGn00wfdFpSN2Pcjde+hzXu1QQ5WRlcS3FvjbYZgFBrGyeOggAEIAABCEAAAjEngFCLOXIKhAAEIAABCEAAAm0jgFBrGyeOggAEIAABCEAAAjEngFCLOXIKhAAEIAABCEAAAm0jgFBrGyeOggAEIAABCEAAAjEngFCLOXIKhAAEIAABCEAAAm0jgFBrGyeOggAEIAABCEAAAjEngFCLOXIKhAAEILD5BNwWaj5lsN/t5sPjDAgkMQGEWhI3HqZDAALpQ0BvJmhwn2y3USkJAuESkODXtaQ3XGSg+sPFGNPzEGoxxU1hEIAABCAAgfgSkFDLdCINyR/fdmhr6Qi1tpLiOAhAAAIQgAAEIBBjAgi1GAOnOAhAAAIQgAAEINBWAgi1tpLiOAhAAAIQgAAEIBBjAgi1GAOnOAhAAAIQgAAEINBWAgi1tpLiOAhAAAIQgAAEIBBjAgi1GAOnOAhAAAKREAjtpxZJHpwLAQgkDwGEWvK0FZZCAAJpTKDRKTR9st3+VyQIQCB9CCDU0qetqSkEIJDEBLTZrfu/5TihJsFGgkBYBNy1U7t242Q0f1gEY34SQi3myCkQAhCAQPgE0Gjhs+PMJgIS+ryUIHmuBoRa8rQVlkIAAhCAAAQgkGYEEGpp1uBUFwIQgAAEIACB5CGAUEuetsJSCCQMgeXLl9sPP/xggwYNsk6dOiWMXRgCAQhAINUIINRSrUWpDwQCJjB79mwbM2aM5eXlWUVFhd1+++3Wo0ePgEslewhAAALpSQChlp7tTq0hEDaB6upq++Uvf2nDhw+3M8880yZPnmxHHXXUevm1b9/edBwJAhCAAAQiI4BQi4wfZ0Mg7QgMGzbM1/mee+6xJUuW2C677LKOwapVq+yFF16w8ePH24EHHph2bKgwBCAAgWgTQKhFmyj5QSBNCPTt29eGDh1qb731lp166qm+1pmZmVZYWGj5+fluCwA2kojmpVDveIppdhYb3kaTa7rmxVWUPC2PUEuetsJSCCQEgenTp1tpaamdcMIJNm3aND/0GRJqxcXFduKJJ1pVVZWVlJQkhL2pYoR/M4HEMBtgpUqTxrweEme6hmrrGyw3O8N1rJBrMW+EMApEqIUBjVMgkM4EFDV79NFH7eGHH7Y1a9bYrbfe+iMcWmSQgaBI58uEukMAAlEigFCLEkiygUC6ENhyyy1t3LhxtnjxYuvevbspikaCAAQgAIFgCCDUguFKrhBIaQKahybBRoIABCAAgWAJINSC5UvuEIAABCAAAQhAIGwCCLWw0XEiBCAAAQhAAAIQCJYAQi1YvuQOAQhAAAIQgAAEwiaAUAsbHSdCAAIQgAAEIACBYAkg1ILlS+4QgAAEokZAu16xj1rUcKZ1RmxHnTzNj1BLnrbCUghAII0JNLgdbxtc/XPcRqUkCERCQJsn52RnIvojgRjDcxFqMYRNURCAAATCJeDfTEAYJFx8nLeWgF5DVt/gXkXm3kqA5E+OywKhlhzthJUQgAAEIACBqBFA80cNZeAZIdQCR0wBEIAABCAAAQhAIDwCCLXwuHEWBCAAAQhAAAIQCJwAQi1wxBQAAQhAAAIQgAAEwiOAUAuPG2dBAAIQgAAEIACBwAkg1AJHTAEQgAAEIAABCEAgPAIItfC4cRYEIAABCEAAAhAInABCLXDEFAABCEAgcgJu6yu/j1qu26iUrRUi55nOOej6yWATtaS5BBBqSdNUGAoBCEBAr5CCAgQiI1Bf32h5TvBncTFFBjJGZyPUYgSaYiAAAQhAAAIQgMDmEkCobS4xjocABCAAAQhAAAIxIoBQixFoioEABCAAAQhAAAKbSwChtrnEOB4CEIAABCAAAQjEiABCLUagKQYCEIAABCAAAQhsLgGE2uYS43gIQAACEIAABCAQIwIItRiBphgIQAACkRAI7XvFHmqRUORcCCQfAYRa8rUZFkMAAmlIoKa20W9Sms3eV2nY+tGrMoI/eixjlRNCLVakKQcCEIBABAQqquv9Zre5We4/hNUiIJm+p0qkVdY0WL17zYU2vEXzJ8e1gFBLjnbCSggkFIHx48fb3Llzbfjw4bbPPvsklG2pagyRkFRt2djWq7au0Rrcu8gUmeU1UrFlH25pCLVwyXEeBNKUwLvvvmuvvfaaDRkyxG655Ra74YYbbL/99ktTGlQbAslFAMGfXO0laxFqyddmWAyBuBLYfvvtbY899rDMzExbtGiRTZw48UdCLT8/36qrq+NqJ4VDAAIQSAUCCLVUaEXqAIEYEigqKvKlzZw50yZPnmxjxoxZV/qyZcvsvvvu8+LtjDPOiKFVFAUBCEAgNQkg1FKzXakVBAIlMGPGDLvpppvssssusx122GFdWR06dLDTTz/dsrKyiKgF2gJkDgEIpAsBhFq6tDT1hECUCEyZMsWuu+46u/DCC23PPfe08vJya9++vc89NzfXz13r37+/lZWVRalEshEBJn5zHUAgPQkg1NKz3ak1BMImMG3aNMvLy7MJEybYq6++aqNHj7Zjjjlmvfxqa2udsHB7AZCiRqC2vmlPDnbmiBrStMyI2zL5mh2hlnxthsUQiCuB0047zfQhxZZAhdv/KtM9ZXOzMxBrsUWfMqWp81TtriO3jRoR2iRqVYRaEjUWpkIAAulLwMcn3X9y2KU0fS+CKNS8xu2jpg1v83My3VxSot5RQBp4Fgi1wBFTAAQgAIHoEWDoM3os0zGn0NAnQ6DJ0/oIteRpKyyFAAQgAAEIQCDNCCDU0qzBqS4EIAABCEAAAslDAKGWPG2FpRCAAAQgAAEIpBkBhFqaNTjVhQAEIAABCEAgeQgg1JKnrbAUAhCAAAQgAIE0I4BQS7MGp7oQgAAEIJC+BNiQI/naPkWEmi49Fq0n3+WXSBbjvhKpNbDlxwQqquv9hrd5bv8r/B1XSLgE6hsbzf3fX0t4vXApxva8pBdq+fm5lpmdbZnuysvPz7dM+TBriC1FSktaAnl5OZaTm2cZmVmW564fEgQSlUCdtpN3SQ9YEgTCIaBLp9K9mUDXUn6u2/CWzZPDwRjzc5JeqH316WRb9PELVu/QTf2iyvbea3fLqs+y+nr9hQSBTRHIsPyCHFswb75Ne+95W/3FbPts4kLbY+BRlptXADYIJBwB5FnCNQkGQSAmBJJYqDXa78b+1u746/tWVjTMh3DP+OUYu/ykPe3SK65yvc4sa2ggshaTqyjZCnEXS76LpL074S27+pa7bVZtf8tu19n+34Ov2AcTXrX7x95q3Xv1SbZaYS8EIAABCKQggaQVam++8Zrd8NhEy9r5Eivs1NM3TdnKhXbbEw/YiG22tcOOPNzKy+qZuZaCF22kVcrJzbUlixfbDWPut6kFB1qXHfa1jMY6q61vtH+897j1vet++92dt7tiiGFEyprzo0cgKzvHMrLzLDMrad129GCQEwTSiEBy3vGN9Tb+zUlW2+8gK+rUwxqrV/smK+zcy8q2ONhuf2y8vb5soHvxbIabNElULY2u5zZVNTsnzxZ88bpNK+tqnXfdy10/pV7QZ2VmW7vtRtukb561ZYsXWreeRNXaBJSDYkKgYsV8q1r0ldVVdLF2Bd2tuq6OUYOYkE+dQrKy3FzcvHzLyMox+UHmqCVH2yalUGtsqLfSsirLzi+0xoa6/5J2P+cWFNrU2SW2dMpi9+TNc+sKmKuWHJdi7KxUVGL11wusMafQMt3Ck3VS3ol6RSsqajNtzepShFrsmoSSWiCwpnSl/d/Yu+2vb063+rIs+92Yt6xy9oF26mlnuZUF7gpmigfXTxsI5OTkuOdlg0399F0r/fJNm1vXy5YddYp169ajDWdzSDwJJKVQy8jKta237GtVH021wn47+t6BUqNl26p539o1x25rJ52xi1tQ0OAiamzbEc8LLBHLznarhOdMq7WLrr/bKivK/WphiX9z11XFylnWu3219e7bPxFNx6Y0I1BfV2u/uu4me3hSuRXvdLZ1yMuzOauW2S9++5gbmM+0Cy4818ormnVWvR+MUnIZRS2vKJnUlmzc5hOtH9aGQ1rPpOmIaGUVzUfVeja5X7JzsqxsdYndcvPN9s+Pllhd+4E26ZPpduiJF9rdN11k+xxwSFury3FxIJCUQk2cTjrxRPvLcxfYlCnPWf6g3f1sosqZ79uuhd/bNRddbV26F8YBJ0UmC4GdB+1hk9/5l93x7O+tcruTLCevnVWuWmQF3z9lF99xkeW34/pJlrZMZTu/+fIze/GTldZx1CWWkynl1GCFXQdY407n2KPPvWy9tzvAsgs6uIGD/44ctHPbLmS6bRc29eDXQzw3O8MK3H5sa3f82CjCApdPbnbLx+jEtuwW0pbZnsqnpZ29ZHfTMS2nttnjSmotI1dMq7tXuDzasl2K8lHdWhJ1WX5rqdbq5uS5y2uT+bgvNJypuoWO0c/5eZl29yOP2qPvrLCOe15q7XNd59QtuPv8uw/sov93n709fIRbQNW3teL5Pk4Eklao9erT155+dJzd+9DjNnn6C/5m2WnvLnbFxWOdSOsVJ5wUmzwEMuzWm2+0fn0ftRfeHm+lqzOtf+csO2vc5XbU6GOSpxpYmtIEpk6fYbXt+jQtIKiv9HVtrK+2wo7dbOqMTDt73NuW12OE/1vTlxoNbVkS6AEuf9niA3/tMW0TM62LnuxWFU+TTS2JlaZ5pO6YVgRWtsukRbvXMspxGbUWDZOg3VRxTRwleltXWLnOpiwZ3kKB2tfMt8kmjtGfc5w9OS6vloTahvujZbi5t/WVK+zVf39mxeqUumupsabcXy5dthplcz//3t7/4EM79vgTU/peSubKJa1QE/TBQ4bZPePusBVLF/kbs3M3BFoyX4yxtj3b9SovueRSO+/sNVaycqX17KseZVaszaA8CGySQO+e3c2qSlw4RmJg7RtY3ObM1ZVl1i2/yk46bJgVdOzpImr/Hf6sd2GyytqGFiNPtXWNVlPnjmlB9FS7PNwhLeaj82vcFJM6l19Leaksd9gm89K52oRVK683lWSqjlH9WkoSOq3lo935K2qcza1ce2VVzugWitNXoY2IW8pKdW9tGo7q1eLwpzNW0xF1XEusN8xHU4VqS+a4ebcNVpTv9oh0i/HWJf2cU2xLlq3gLkxgAkkt1EJciaAl8BWWBKbltSuynu5DgkCiEdh55K62Q5dH7a3P/2Wdtz/SCYsGq62psdUf/82uOHVbu/n8PcI2ubU5UQ2tHbC2ZB3WWmSqNZGirNqSjwpqraymvFo/qvUjNh3dag69LflU1tSbxHFLAqvcvSKspXUhOlfiuVr5tKBmq1xZdU7who7RW1fqawfZbTe9bhOWzLHOg0Y28XELUercymFbNdO2HrZP2NcRJwZPICWEWvCYKAECEIBA7Am0Kyy23//fdXbF9XfYR5/9YA25HS2/cqGddnAPu/qKSyIyqLVhzazWDtis0luLXW1WZkl3cFF+vCP1xVZ/4Yk2+bKxtswtQmnXub9bbFdrVV+8aD/btcB23X3PpGOaTgYj1NKptakrBCCQdASGbbO9vfz3x+zDD963xUuW2fBhQ2yb7Xdy9Uhv8ZN0DRlngw885HB75u56e/AvL9rs5R9ZYU6DHfiTQfarKy52r83jPcdxbp4Wi0eoJXLrYBsEIAABRyDHvX927/0OhAUEIiJw6OFH2aGHHWY/zJ5txR06WMcubg4kKeEJINQSvokwEAIQgAAEIBAlAhnZ1n+LIVHKjGxiQQChFgvKlAEBCEAAAhCAAATCIIBQCwMap0AAAhCAAAQgAIFYEECoxYIyZUAgBQm8/fbbVlJSYscff3wK1o4qQQACEEgMAgi1xGgHrIBA0hCorq62l156yW699VbbZ599NirUMt0eTSQIQAACEIicAEItcobkAIG0IlDv3itZVVVlJ7r37ern5km/r1mzxn9yc3PTiguVhQAEIBAEAYRaEFTJEwIpTKBdu3Z2+umn29/+9jf78ssv16vp8uXLbezYsfbee+/Z+eefn8IUqBoEIACB2BBAqMWGM6VAIOUI1LhXGWVssHt9jx497Le//a09/PDDVl7e9OJnEgQgAAEIhE8AoRY+O86EQFoT0PDnpsTYhgIurUFReQhAAAIREECoRQCPUyGQzgT23HNPGzZs2EYRtOWl2OnMjrpDAAIQaCsBhFpbSXEcBCCwHoFtt90WIhCAAAQgEDABhFrAgMkeAhCAAAQgAAEIhEsAoRYuOc6DAAQgAAEIQAACARNAqAUMmOwhAAEIQAACEIBAuAQQauGS4zwIQAACEIAABCAQMAGEWsCAyR4CEIAABCAAAQiESwChFi45zoMABCAAAQhAAAIBE0CoBQyY7CEAAQhAAAIQgEC4BBBq4ZLjPAhAAAIQgAAEIBAwAYRawIDJHgIQgAAEIAABCIRLAKEWLjnOgwAEIAABCEAAAgETQKgFDJjsIQABCEAAAhCAQLgEEGrhkuM8CEAAAhCAAAQgEDABhFrAgMkeAhCAAAQgAAEIhEsAoRYuOc6DAAQgAAEIQAACARNAqAUMmOwhAAEIQAACEIBAuAQQauGS4zwIQAACEIAABCAQMAGEWsCAyR4CEIAABCAAAQiESwChFi45zoMABCAAAQhAAAIBE0CoBQyY7CEAAQhAAAIQgEC4BBBq4ZLjPAhAAAIQgAAEIBAwAYRawIDJHgIQgAAEIAABCIRLAKEWLjnOgwAEIAABCEAAAgETQKgFDJjsIQABCEAAAhCAQLgEEGrhkuM8CEAAAhCAAAQgEDABhFrAgMkeAhCAAAQgAAEIhEsAoRYuOc6DAAQgAAEIQAACARNAqAUMmOwhAAEIQAACEIBAuAQQauGS4zwIQGCTBPLz8y0jIwNCEIAABCAQIYHs1157rcUscnNzTZ+ysrIIi4rs9Pbt21t9fb1VVVVFllGEZxcVFVlFRYW3JV4pKyvL2rVrZ2vWrImXCb7cvLw8y87OtvLy8rjaUVhYaDU1Nf4Tz1RcXOzvk4aGhriZofYoKCiI+7Xx6aefWl1dnbXmX4IGpftVPqO2tjboojaZvwSr7ND92tjYGDc7EsWXy3fpHsGXm8mX69m2evXquF0XieTLxUJ+o7q6Oq48Es2XZ7/99tstApk5c6bpc8ghh8QV3MSJE61z5862zTbbxNWOF154wfbbbz/r2LFj3OwoLS01tduxxx4bNxtU8DfffGPLly+3fffdN652vP766zZo0CDbcsst42rHc889Z4cffrgXSvFKS5YsscmTJ9tRRx0VLxN8udOmTfOdmdb8S9BGvvrqq7b99ttbnz59gi5qk/mrA/Hyyy/7+1UP5niluXPn2nfffWeHHnpovEzw5b777rteuKpd4pnky/fee2/r0qVL3MyQeH/jjTfsuOOOi5sNKnjq1Km2aNEiO+CAA+Jqx5tvvmn9+vWzoUOHxtWO559/3mseCcd4pWXLltn7779vxxxzjGWPGTOmRTumTJli48ePtxtuuCFe9vpyf//73/sHcbydjHqBv/nNb0xRnHglRbCuv/56a63tgrZPAkkP5EsvvTToolrMX07/oIMOsl133TWudiiadvfdd8fVhvnz59v9998f92vjr3/9q49wnn322XHlIWEkGwYPHhxXOyorK+3OO++Mqw1fffWV6QF04403xtWOhx9+2Hr37h33zoR8uZ5r8RRqihxdc801cb9fJ0yYYJ988oldddVVcb02fvvb39qee+5pe+yxR1zt0DP2rrvuimvHavHixTZ27Fh/bbQ6R22LLbawU045Ja7QVPiRRx4Z10hFCMDPf/5zP9wXz6TyL7jggnia4MtWj3jIkCFxt+Pkk0+Oa4QzBOCiiy7yYft4Xh+K9MZbHImHHF28h6JlxxlnnGHdunWL6zWqyKI6Mxruy8zMjJstilSceuqpcSs/VLA625o2Ee8kXx7P6Lfqr2HxCy+8MN4obOutt7b+/fvH3Y4TTjjBNOwY76Q20f0azwi4AhDnnXeeR9Gq4tBwoz7xTgMHDoy3Cb784cOHx90OOblEsKN79+5xZyED4h0tCUEYMWJE3Hko0rvVVlvF3Y5EMSDeQyjiIGefCNeGRHw8p2yErokBAwYkxOWRCD5U8wYTwQ51ZuLdodFFocBQIqREuF817Dps2LC2CbXm0DReqjknI0eOjMsQpBSuQveaZ6GoRU5OjkmBx+vGf+ihh2zFihU2evRo23bbbeNyfX388cd+joMmKWtMfZdddomLHSp05cqVfv5JvHrMJSUl9uSTT/pojnoi8XI8YvDOO+/43rrsiGcPcdasWaa5Sfvvv39Ur4sZM2bYM8884697Xf+JnD766CPTKtR4zYmaPn26Pfvss/4eVUQrXg8jDX2+9NJL/r5QNCmeSUN+mlKj6zIe94fKf/rpp01TBSSWLr744rjNR3rsscdMw1ya37rTTjvFvFnmzJljf//73/2CGwUB1PHVfMp4rNqeNGmSaT76brvt5qezxCPpPv3jH//o2+TMM8+0vn37xtwMDcu/9dZb/v7Qc6TViFrIQjkbzbGQU5ZAUZQt1qJAF46g6d/Zs2fbX/7yl7hNqNc8IM1J2mGHHewf//iH7xXFeshLN5bmAmki/XbbbRfXuRa6Tm6//XbTjabFFrEe2pCIl0jTTaafZYvmO8S6TRYuXGj/+c9//HWhFY+33nqr/d///V/Mh7w03KY5J1dffbW/Z6Ip1CSI77nnHi84dA926NAh7gtKNuZJtTpb8yh/+ctf+k88hJrmpkkc9ejRwy+80XykP//5z37VdiyT2uyJJ56w3Xff3TSJXpHXn/70p7E0Yb2yNE/tvvvu8+0TD6GmhVBaaHLuuef6ezPWfiIE49FHHzX5jFGjRtk///lP/xyJ9XCsrsVQFF7P9lWrVsXlufrtt9/auHHj7Oijj/Zz0jV3cMcdd4z5NSrhrE6EAg56htx8880xjUT/8MMPfn6cbPjwww83T6jJ6SkUd8455/iHsdRmrJMEmpS2khry2muvjUvvVEJAiyzk9ObNm2dnnXVWXG50PYwloPWg1PLuePXU1R6KImlLBkVY4rE9hZztaaed5m9uRVDuvffeWF+evjxNkr7pppv89aD20M9qp1jPTVIbfPDBB36BRbR7xnKouv/1oNVD5d///ndCCjVFeLWa7cADD4z5wy908SmSd/nll/uoja4DRQm0ajvWQk3l/+///q8XaFrFL78Vr6QFSOrMqHMZ7WuzrXUSA10f+ldtEuuOpezUfFb5KnGQHYrexFqkyQ5NYdHKQol5RXGuu+66uLSLVsBKtEs8a3GDVrDHOukeVdlXXnmlX9CgueCff/65Dz7EKklbKBCmkcvQlmQbjahJ4TeHpJtJPUI5/Z/85Cd+6awyCTpJhDTfo0s3k8aO9XdFCx588MGgTfATouXsm4sPzTlRNE3iVUOfit488MAD3hkHlXQTKUTdPOnhLyZqDw2tSInroRBkUhmqcyiJhSY9SqjpQfDiiy/6Yaagk9qk+T5MoV6hxKIcTSzC5oqWaBi+eZLT01YQsk29MS271xB9kEnLuDWE0zxp+OIXv/iF3xYi2nuZLViwYF0b68Efz73BWuKqSOKvf/1rH9WM18IG+c6QX5Bo1yhEr169grwcNpp3aJsBDek89dRTvscej6SHsbax0T2qaSxB+syW6ieRpsnz8ht6KMuHx3r6ioSaOth6luiBrOtUz7R4bQmhKLkie/EqX1E9tcFJJ53k52bFI5qmZ6qmUim6qXtXUzz0nI9lOv74433HVwuQZIN8+0aFmkRQc+cu4yXUdJPpRtcWBKpI0Nsy6CHTXJwoWiIxoHCgGjEWvSAJxT/96U++9xNKCk9LuJ1//vlepKg3InEb5IIHDfU+/vjj610vGrrQMIaSojeKcFxyySWBrlSRIFOkJpQkyuRk1EvWUKy+1zxGzbcIMun6a96ZkDjSQ1lzPCRatQJToi3ILTsknnU/NE/ah0g3mbZw2WeffWKyAlMRLtW5edIcJDk9zcWJdtSia9eu64SPBFA8Iqibc23p3o02g80pX0L2d7/7nb9PNAwez/Szn/3M+woNPSpiEAsf2ry+r7zyin92qPOiuUi6RhVJinXS/RFaOa8Ihp55sRZqoQ6/VibLf2lemOaTxmMiuzp7Eq8SavFKepYtXbrUNPSoIVAJ+ViviJWf0HQR3a96jqkjEY8FOKEXDMi3qvO/UaGmMWJ9midB08NAgkQKLxaqe1N7ukgMxGp+RadOnTba+9TQz9/+9jfPQUOPQa+AlADZcKKp2kFDfBIHmiukeVFBD7GJ+4bsFVXSRGUJBj0UYxG+39i+fopqqpcsQa9ORdA3mIY5JY6bJ0XZtJ2NopyK6qmjIZuCbBcJw01tOiwhFe03R2hLFrWzhjw1DSLem+u29mBRjzheu+CLkxy/hhp1zWqIS9dDrAWSHsSK1mhEREM5ukeDvCY31SaauqJomnyXOnax8BUbs0WiQAJaAklRE3W6Y50kVvfaay8vXBX9Vac3XltkyH+rUxePifMh7ronJNRCGiNeu01oWF7+VPbo2oiHcJZA0zNMnTs9z9q8mEBqX5MMJQw0rKKIRbySBEu89++S81UERxe3HE+s55yIvcShhKIcsBpTIfx4RA4UptZHYXxdG4okxSNJsD7yyCN+KEEiPx5bM2hYUKvq9IBW5FnRC60oi8Vw8MaY6z6JdsRL+3EpGqGOm+5FrbxO5KTIUTwmrIuJRLLmK2q4U9FX+QkNScd6+FMdzp133tlvhqxIjiZIBz0kv7FrQvdDaC6tHsRHHHFEXC4djcho4rzmC+r+1DyxeCT5bD1HvvzyS/9vvDZSV6dWb2mI575h2g9TvlsaQ8+TeK1M1iiMnqkaMdFzPugO/8auO/mr5nvHtlmoSQBoI81E2Ewz1uHQjYHUkKcWNMQzKSyriZf6JELSxaWhlXgl3dwKmccz6e0ZWsmVKElzooJYna2tYOL9Wrm2Mo7nq9YUbddcxXgniUU5fn0SJZ1++ulxM0XTVOI9DK3KK2oTr/mCzeFvbMQm1o2jCG88Ipsb1lO7KMT7LSIKvDQPhrVZqMW60SgPAhCAAAQgAAEIpDsBhFq6XwHUHwIQgAAEIACBhCWAUEvYpsEwCEAAAhCAAATSnQBCLd2vAOoPAQhAAAIQgEDCEkCoJWzTYBgEIAABCEAAAulOAKGW7lcA9YcABCAAAQhAIGEJINQStmkwDAIQgAAEIACBdCeAUEv3K4D6QwACEIAABCCQsAQQagnbNBgGAQhAAAIQgEC6E0CopfsVQP0hAAEIQAACEEhYAgi1hG0aDIMABCAAAQhAIN0JINTS/Qqg/hCAAAQgAAEIJCwBhFrCNg2GQQACEIAABCCQ7gQQaul+BVB/CEAAAhCAAAQSlgBCLWGbBsMgAAEIQAACEEh3Agi1dL8CqD8EIAABCEAAAglLAKGWsE2DYRCAAAQgAAEIpDsBhFq6XwHUHwIQgAAEIACBhCWAUEvYpsEwCCQ2gdraWlu1apV169YtsQ3FOghAAAJJTAChlsSNh+kQiBeB1atX26WXXmrdu3e3sWPHxssMyoUABCCQ8gQQainfxFQQAtElsGbNGrvjjjts5cqVNmDAgI1mXlhYaCtWrIhuweQGAQhAIA0JINTSsNGpMgQiISARdt1119nzzz9v33333XpZlZSU2DPPPGOvvfaaHXHEEZEUw7kQgAAEIOAIINS4DCAAgU0SeOmll+yFF15Y7/trr73WttpqK2toaPCf5iknJ8f69+/v561t+B2YIQABCEBg8wkg1DafGWdAIG0IHHTQQTZq1Kj16tuxY0f/e11dnWlBQfOkaJsiaRr21EIDEgQgAAEIREYAoRYZP86GQEoTaNeunemzsVRUVGRdunTZ6HeVlZWWkZGR0myoHAQgAIFYEECoxYIyZUAgBQmccMIJ1tjYmII1o0oQgAAEEocAQi1x2gJLIJBUBLKyspLKXoyFAAQgkIwEEGrJ2GrYDAEIQAACEIBAWhBAqKVFM1NJCEAAAhCAAASSkQBCLRlbDZshAAEIQAACEEgLAgi1tGhmKgkBCEAAAhCAQDISQKglY6thMwQgAAEIQAACaUEAoZYWzUwlIQABCEAAAhBIRgIItWRsNWyGAAQgAAEIQCAtCCDU0qKZqSQEIAABCEAAAslIICWE2rRFFfbNvDLPn7fWJONlGF+bGxoarWenPBs5qNjycjLjawylQwACEIAABJoRSHqhVlvfaA+9Pt/e/Galtc/lIcvVvfkEap1QK8zLsofOG27Derff/Aw4AwIQgAAEIBAQgaQXanXuIVtWXWdb9iiwc/brY7nZmdbA+wcDulxSK1tFX7Pcf17/aoV9NKPUaup4b2VqtTC1gQAEIJD8BJJeqLlnrZl7vhYXZNkugztYOxdVq3fijQSB1ghIqOU4YT9rSaV9ML3U/LVEggAEIAABCCQQgaQXaiGW0mY1dQ2W5UY/EWoJdIUlsCkSarpuFJUlQQACEIAABBKRQMoItUSEi00QgAAEIAABCEAgEgIItUjocS4EIAABCEAAAhAIkABCLUC4ZA0BCEAAAhCAAAQiIYBQi4Qe50IAAhCAAAQgAIEACSDUAoRL1hCAAAQgAAEIQCASAgi1SOhxLgQgAAEIQAACEAiQAEItQLhkDQEIQAACEIAABCIhgFCLhB7nQgACEIAABCAAgQAJINQChEvWEIAABCAAAQhAIBICCLVI6HEuBCAAAQhAAAIQCJAAQi1AuGQNAQhAAAIQgAAEIiGAUIuEHudCAAIQgAAEIACBAAkg1AKES9YQSEUC9fX19vzzz9vcuXNt+PDhdsQRR6RiNakTBCAAgYQggFBLiGbACAgkD4H333/fpkyZYiNGjLC77rrLsrOz7ZBDDkmeCmApBCAAgSQigFBLosbCVAgkAoFddtnF9t57b2/KjBkz7KOPPvqRUMvJybHq6upEMBcbIAABCCQ1AYRaUjcfxkMgWAIrVqyw5cuXr1fIgAED/O/ffvutTZ482caOHbvu+6VLl9rdd99tkyZNsrPPPjtY48gdAhCAQBoQQKilQSNTRQiES+DDDz+0l156ab3Tr7vuOisvL7cxY8bYr3/9a9t6663Xfd+pUye7+OKLraioyKqqqsItlvMgAAEIQGAtAYQalwIEILBJAkceeaTp0zxJvF199dV2+eWX25AhQ6ykpMQk0JQ05Nm3b1/r0aOHVVRUQBYCEIAABCIkgFCLECCnQyDdCGi1Z8+ePf3w5muvvWZHH320jR49ej0MdXV16YaF+kIAAhAIhABCLRCsZAqB1CVw8sknmz4kCEAAAhAIngBCLXjGlAABCEAAAhCAAATCIoBQCwsbJ0EAAhCAAAQgAIHgCSDUgmdMCRCAAAQgAAEIQCAsAgi1sLBxEgQgAAEIQAACEAieAEIteMaUAAEIQAACEIAABMIigFALCxsnQQACEIAABCAAgeAJINSCZ0wJEIAABCAAAQhAICwCCLWwsHESBCAAAQhAAAIQCJ4AQi14xpQAAQhAAAIQgAAEwiKAUAsLGydBAAIQgAAEIACB4Akg1IJnTAkQgAAEIAABCEAgLAIItbCwcRIEIAABCEAAAhAIngBCLXjGlAABCEAAAhCAAATCIoBQCwsbJ0EAAhCAAAQgAIHgCSDUgmdMCRCAAAQgAAEIQCAsAgi1sLBxEgQgAAEIQAACEAieAEIteMaUAAEIQAACEIAABMIigFALCxsnQQACEIAABCAAgeAJINSCZ0wJEIAABCAAAQhAICwCCLWwsHESBCAAAQhAAAIQCJ4AQi14xpQAAQhAAAIQgAAEwiKAUAsLGydBAAIQgAAEIACB4Akg1IJnTAkQgAAEIAABCEAgLAIItbCwcRIEIAABCEAAAhAIngBCLXjGlAABCEAAAhCAAATCIoBQCwsbJ0EAAhCAAAQgAIHgCSDUgmdMCRBIKQJVVVX28MMP27fffms77bSTnXfeeZaZmZlSdaQyEIAABBKFAEItUVoCOyCQJAS++uory8jIsGuvvdauvvpq22qrrWzfffddz/qsrKwkqQ1mQgACEEhsAgi1xG4frINAwhHYeeedbZdddrG5c+eaBFmHDh3W2VhXV2fLly/3n6KiooSzHYMgAAEIJBsBhFqytRj2QiCGBL788kv7/PPP1yvxiCOOsOLiYrv33nutsrLS8vLy1n2/cuVKu+eee2zSpEl2zjnnxNBSioIABCCQmgQQaqnZrtQKAlEhUF5ebsuWLVsvr5KSEuvUqZONGzfO7rvvPnvooYe8OFPq3r27jRkzxv74xz9aRUVFVGwgEwhAAALpTAChls6tT90h0AqBUaNGmT7N05QpU+zKK6+0PfbYwyZMmGCnnHLKj3LRECgJAhCAAAQiJ4BQi5whOUAgrQiMHDnSVqxY4YdEzzjjDDvmmGPSqv5UFgIQgEAsCSDUYkmbsiCQIgQOPfRQ04cEAQhAAALBEkCoBcuX3CEAAQhAAAIQgEDYBBBqYaPjRAhAAAIQgAAEIBAsAYRasHzJHQIQgAAEIAABCIRNAKEWNjpOhAAEIAABCEAAAsESQKgFyzehcm9sdOZk+P+vl/R390Ygn5r/HE3jg8o3mjaSFwQgAAEIQCDRCCDUEq1FArBHIik7K8O6FuXYmqp6K3cfCTP9PSszw7oU51hpRZ3VNzRah4JsK6moNffjjwRdOKZJG7oirFN7lV1ntXWN60RhOPlxDgQgAAEIQCCdCCDU0qC1c7IzvDgb985CO3T7LrZF9wIrray3XPf33OxMe8L9fa9hHf3P//xoqR0zsptlZpo1NKyFEwrBNYvI6Ufz//lvNG7dn5odl+1UWk1dgy9jz606Ws+OuVZT7w5odm4or1BUb718NpV/yLRQJHAT9qRB81JFCEAAAhBIYQIItRRuXK9dnAoqyM2yxauq7dbnZttb36y0Z3+5nY+wdWiXbc9/vNQuffw7++eV29t+IzrZviM6WmF+lv9e0TZFwyprGizH/a6/1TvxVlJea8XumHZ5WT4KV1LuImVOfBW5v+XlZPrzJAzLqust0xmgaNrew5tEWvu8bH+O8stwyqzcHZO3VjCuceLRn+PK7OhsU15Kq120r8LZ4CNz7u8SlHUuj0aXd1Mk0Hxd8nMznbhs+lu1i9zpeBIEIAABCEAgmQkg1JK59TbT9u0HFtkqJ6re/a7UC7JqJ37en15qg7oV+OhapRNJUxeUW/+u+fbOtyW2sKTaVjpRtpM7b7UTUbOWVvqh0TP37WVvO8E36btV1tGJsLP27W3tnEj6eOZq+2F5pS0prbHdh3SwHQYWO5FXb1XuM31RhReMH36/2kfYvne/S9DtPbyTfTl3jc115x22fVfbpl+hF3Hjv1hhX80rM0m143brbv275FuWE3bPTV5mMxeXWz/3e5GzZeTgYuvRIdfe+rrEJs8stQ7ts+0nu/WwQiciK2obojJ8u5mYORwCEIAABCAQNQIItaihTOyMFFnLyTInytrbp3NW28HbdbZPZpVavYuEdXdCJzcr0xasrLYbn5lpR+/czf7w5nwfmfr1MQOtorrBrnpyup00qofttmWxPfPBEvvLu4vs5wf0sU9mr7Hrnvre7j1rmP3HiavnJi+1m0/cwgspRbTyXPRrdWWd3fzsLPvd6UPtny6CN3lGqf32tCH25LuL7eG3Ftj1xw50Qi/LbvzHTHvtf3ayR1zZL3+y3K44sr9NnV9uV//le3v+qu3tqfcW27MfLrGfH9TX/urKl8icfPuuNsGJynGvzLErjhjgxGOJ3fb8bLv15MGuThk+0keCAAQgAAEIJCsBhFqytlwYdmuocT8XSXvl0+VujlqdfTZnje04qMjmuGhWg1NyGtrs6CJSmj9WlJ9tO29RbAdv28U+d8dpaPHa0QP9v//77Kc+inbsLt3957D/+9Te/HqFHzLdbcsOdsoePb11y1bXrBsK1VCm5srlO+G2/9adnVDsYnOWVdk8V/Zpe/XyUbiXnDhTZK1zUa5dedQA61aca298tdK+c1E+ReBenLLMi7SjdupqvTrm2XkPf2saLn1y4iJfpv6u4dvDx3zmBd4ugzvYChcRZAQ0jIuFUyAAAQhAICEIINQSohmCN0JxJc3f2rZ/ob3y2XIvgDQcee7+ve05F+XyW3esTfpRoq3AiSqlajdUWVSQ5Ycsq9xwYigKp7lmWh3at1O+rSyr86s5i53Aq3HzwxRF22gwyx0jsadU6fLq4kSZhKHmoen8xatqrLMbTlXETPPXtu5baF0Kc2xpabWfGyf7lWTPoO75XuDpnPemrbIvfyjzokz5l7vhVq2FQKQFf21RAgQgAAEIBEcAoRYc24TLWcOAPTrk2Q4DimyMGx48cNvONrRXO6t2gmljqbnQkpBzOs0PZ0pQabGAX2zgvpjvhkzbuzlhXgy63+vcclFN9N9UksALJR2vj5LmppWU1dq94+fZkS46dskh/Wz20iq/ErVzYa6P8s128+QGuDl0OkM2NC1eMB+hO85F96pr670Q3bJne7fIQHasvyo14RoFgyAAAQhAAAItEECopcHlIWHlV2c6EVTgJv1rov+Nf59pVx09wAsdRarqnCrTMZqXplTmRFCVW2ygpBWW+nudW16Z46Jso932HY+9vcBN8M+zD74vtWIX3Tpgm042YWqJj4I1X20Z2q+t6fxG/70WLigpOqfIm46Rdlvp7Ct20bC+Lt9pCyvsGzd8qXJmL6u0QlfGgdt0tgdem+dEW46fxzZvRbUXbce7xQN/mbTItnfRNs2Ze+iNeX4I1idCamlwhVNFCEAAAqlLAKGWum27rmYaspS4+dnevXyEaXCPdnbLSYNtdydmNPyo+V19nDjSis7T3DESTkfs2NW6uQ1yJaZ6usUGp+3V04s0Ca5LD+3nhyMfe3uhm5eWbfefM9yJtWzbe6sOfhsNDX2GYmba4FbbZpy6Z0/r3SnPzXnrbPlOHCpfRfa0pUd1baOLyDUdo0UI1xw90Imt+fa4E2kj+rT3ts5bXmWXH97PbQmSaU+/v9hH8Lq5jXornPC74MA+XnA+4hYm5LsVE49dsLUXcKHh2DRoYqoIAQhAAAIpSgChlqING6qWRFelW7XZoSDHrnGLARS10hyu648b5Pcs09ywq9zEfUW6FNXSggEdc+Y+vbyY0h5pGi692omnFWtqfZRNc920AECfUPRt2epaO27XHj6P5W4RQehVVRJteTkZvgxF6U4Z1dNH7pa5vLS32iFu9anmmWlPNpWtRQ7aJHfsz4au1zLK5/YX5lhvtxfbxQf3tT9PWuyFXjcnIhWVO8vZa/q4pH3fZDcJAhCAAAQgkOwEEGrJ3oJtsN+LNe1n5uZvNUW6Gr04Cr37c93P7htFqPT3xe57JQ1jStBJyCkpL4kmfb/uhQVr30SwVAJt7THNhaI2nw2VIbGmPJSvonOlOt59NH+uuR06rsnSpuQjdu7tCX9323NoexFtonvzTwb7c8udEK2odvaE3lKwdl5a8zcdtAETh0AAAhCAAAQSjgBCLeGaJBiDQqKl+ZSt5kJmUz974bWBSRsKoNYEUej8H523kapu7BiJtTUuajbSbRcisRZKEnPawHfDNxC0Zk8whMkVAhCAAAQgEH0CCLXoMyXHKBMICT1F4FZXNkX1FPVjRWeUQZMdBCAAAQgkHAGEWsI1CQZtikDzoU0f6WNFJxcLBCAAAQikOAGEWoo3MNWDAAQgAAEIQCB5CSDUkrftsBwCEIAABCAAgRQngFBL8QamehCAAAQgAAEIJC8BhFryth2WQwACEIAABCCQ4gQQainewFQPAhCAAAQgAIHkJYBQS962w3IIxJ1Ag3vxfYZbfqsPCQIQgAAEok8AoRZ9puQIgbQg8M0339gtt9xid911l/Xu3Tst6kwlIQABCMSaAEIt1sQpDwIpQECRtN/85jc2e/Zs9+7Xhh/VqKCgwKqrq1OgplQBAhCAQHwJINTiy5/SIZCUBJ566inr06ePderUaT2hVl5ebu+99569//77tsMOOyRl3TAaAhCAQCIRQKglUmtgCwQSjMAbb7xh//nPf9azauTIkfbRRx/Zz3/+cxs3bpxVVFSs+15RtO+++84WLFhgO++8c4LVBnMgAAEIJB8BhFrytRkWQyBmBIYOHWp5eXnrlTd9+nQ/5HnnnXfau+++ayNGjLBhw4b5Yzp37myXX365de3a1VasWBEzOykIAhCAQKoSQKilastSLwhEgUD//v1Nn+Zp7733tnPPPdd++OEHu+GGG+z444//UUllZWWsBI0Cf7KAAAQggFDjGoAABMIioDlqY8aMse7du4d1PidBAAIQgEDrBBBqrTPiCAhAYCMEsrKy/IICEgQgAAEIBEcAoRYcW3KGAAQgAAEIQAACERFAqEWEj5MhAAEIQAACEIBAcAQQasGxJWcIQAACEIAABCAQEQGEWkT4OBkCEIAABCAAAQgERwChFhxbcoYABCAAAQhAAAIREUCoRYSPkyEAAQhAAAIQgEBwBBBqwbElZwhAAAIQgAAEIBARAYRaRPg4GQIQgAAEIAABCARHAKEWHFtyhgAEIAABCEAAAhERQKhFhI+TIQABCEAAAhCAQHAEEGrBsSVnCEAAAhCAAAQgEBEBhFpE+DgZAhCAAAQgAAEIBEcAoRYcW3KGAAQgAAEIQAACERFAqEWEj5MhAAEIQAACEIBAcAQQasGxJWcIQAACEIAABCAQEQGEWkT4OBkCEIAABCAAAQgERwChFhxbcoYABCAAAQhAAAIREUCoRYSPkyEAAQhAAAIQgEBwBBBqwbElZwhAAAIQgAAEIBARAYRaRPg4GQIQgAAEIAABCARHAKEWHFtyhgAEIAABCEAAAhERQKhFhI+TIQABCEAAAhCAQHAEEGrBsSVnCEAAAhCAAAQgEBEBhFpE+DgZAhCAAAQgAAEIBEcAoRYcW3KGAAQgAAEIQAACERFAqEWEj5MhkJ4E5syZY99//73V1dXZyJEjrVu3bukJglpDAAIQCJgAQi1gwGQPgVQjUFFRYbfddpsVFRVZ165dbfDgwQi1VGtk6gMBCCQMAYRawjQFhkAgOQisWLHCVq1aZSeccILttttu1qlTpx8ZXlhYaDqOBAEIQAACkRFAqEXGj7MhkNIEGhoaTJ/macGCBTZ9+nSbOHGiPfjgg3b99dfbrrvu6g+ROHviiSfszTfftOOPPz6l2VA5CEAAArEggFCLBWXKgECSEnjllVfsueeeW8/6yy67zN544w0/3PmHP/zBnnrqqXVCLT8/33bccUebPXu2n79GggAEIACByAgg1CLjx9kQSGkChx12mB1wwAHr1XH+/PmmxQSan6YFBb169Vr3ffv27W3//fe3efPmWWlpaUqzoXIQgAAEYkEAoRYLypQBgSQlkJuba/o0T5p/9vvf/94eeOABy87OthtuuOFHtauqqrKMjIwkrTVmQwACEEgcAgi1xGkLLIFAUhDo27ev3XXXXVZWVmYdO3ZMCpsxEgIQgECyEkCoJWvLYTcE4khAkTREWhwbgKIhAIG0IYBQS5umpqIQgAAEIAABCCQbAYRasrUY9kIAAhCAAAQgkDYEEGpp09RUFAIQgAAEIACBZCOAUEu2FsNeCEAAAhCAAATShgBCLW2amopCAAIQgAAEIJBsBBBqydZi2AsBCEAAAhCAQNoQQKilTVNTUQhAAAIQgAAEko0AQi3ZWgx7IQABCEAAAhBIGwIItbRpaioKAQhAAAIQgECyEUCoJVuLYS8EIAABCEAAAmlDAKGWNk1NRSEAAQhAAAIQSDYCCLVkazHshQAEIAABCEAgbQgg1NKmqakoBCAAAQhAAALJRgChlmwthr0QgAAEIAABCKQNAYRa2jQ1FYUABCAAAQhAINkIINSSrcWwFwIQgAAEIACBtCGQMkItI8MsJyvDfzLdzyQItEYgdM1kccG0horvIQABCEAgTgRSQ6g5YVZd22gLVlZbfm6m1Tc0xgknxSYTAS/UnEhbVVFr5n7mqkmm1sNWCEAAAulBIOmFmg+GNGbYN/PL7ddPfW96+PLETY+LN+Jaro28rqmqM0XVMjMjzpEMIAABCEAAAlElkPRCLTc7007bq6cN7lFgjS4k4oUaCQKbQaDRKfsexXk2oEvBZpzFoRCAAAQgAIHgCSS9UBOi/UZ08h8SBCAAAQhAAAIQSCUCKSHUUqlBqAsEIAABCEAAAhAIEUCocS1AAAIQgAAEIACBBCWAUEvQhsEsCEAAAhCAAAQggFDjGoAABCAAAQhAAAIJSgChlqANg1kQSGQC06dPt2eeeca6d+9uP/vZz6x9+/aJbC62QQACEEhaAgi1pG06DIdAfAjMmzfP7r//fjvyyCPt888/tzfffNNGjx69njEZ7JMTn8ahVAhAIOUIINRSrkmpEASCJaBo2urVq23+/Pm2xRZb2KGHHvqjAhFqwbYBuUMAAulDAKGWPm1NTSGw2QQWLVpk+jRPCxcutNLSUmvXrp09+eST1tDQYCeffLI/ZOnSpTZu3Dh799137bzzztvs8jgBAhCAAATWJ4BQ44qAAAQ2SeCLL76wV199db3vu3XrZoMGDbJTTz3V6uvr7b333lsn1Lp06WLXXHONn7tWUVEBWQhAAAIQiJAAQi1CgJwOgVQmcNhhh5k+zdOsWbPstttus4kTJ9qECRNsn332Wfd1VlaWSax17NjRKisrUxkNdYMABCAQEwIItZhgphAIpA4BzUs75ZRT7KmnnrLhw4f7VZ8bJkXaSBCAAAQgEDkBhFrkDMkBAmlH4OCDDzZ9SBCAAAQgECwBhFqwfMkdAhCAAAQgAAEIhE0AoRY2Ok6EAAQgAAEIQAACwRL4//+0fRpXJZjyAAAAAElFTkSuQmCC)
Question 11.Using a square dot sheet or a graph sheet draw a rectangle and construct a similar figure.
Find the perimeter and areas of both and compare their ratios with the ratio of their corresponding sides.
Answer:![](data:image/png;base64,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)
![](data:image/png;base64,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)
Perimeter = 2(l + b)
= 2(2 + 1)
= 2(3)
= 6 cm
Area = l×b
= 2×1
= ![](data:image/png;base64,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)
A figure similar to above figure is shown below:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Perimeter = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAYCAMAAACbQ8AyAAAAAXNSR0IArs4c6QAAAGxQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6Ojo6OjqQOmaQOpC2OpDbZgAAZjoAZpDbZrbbZrb/kDoAkGY6kNv/tmYAtpA6tpBmttv/tv/btv//25A627aQ2////7Zm/9uQ/9u2//+2///bSbm/GwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABEElEQVQ4T91U2RKCMAxsUPFCPMB6VUD6//9omzRQkBE645N9oB1ItrubBCH+fOnr5hEiUW1vn+E6SwqhIDp/R1Iw47uq9Qlj9XMPMMc8ne3sVo6hCNWgiGqFqRKO4pXi65I+9lF0Rve1y0MRalFYlNg8FJhAndljKIojg4kWpVrSnVO43HOIDuQI2YCyrBbOnoASmdogfxZjD8QiBMVYWqdkgERjGlLsmc9FAi+/cBTp0t3Wd3WCogEUGROlAEUdFBSGBS+N0QE1svLqFItDG9ZbS3NslDnzuYADXQdxoS/kFPWL888CUu+W0BukAZQk56lxvcs3trXy3owfvdZtuZuZDlo8052kn/xfgmj8dfAbdN4WdqjlSAcAAAAASUVORK5CYII=)
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= 12 cm
Area = ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
Ratio of the sides of the two figures (fig 2:fig 1) = 2:1
Ratio of the areas of the two figures (fig 2:fig 1) = 3:1
Ratio of the perimeter of the two figures (fig 2:fig 1) = 2:1
Question 12.7 pillars are used to hold a slant iron ladder as shown in the figure. If the distance between every two pillars is 1 m and height of the last piller is 10.5 m. Find the height of pillar.
![](data:image/png;base64,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)
Answer:Given, Distance between every two pillars = 1 m
Height of the last pillar = 10.5 m
Number of pillars used to hold a slant iron ladder = 7
Distance between the tip of ladder on floor to the last pillar = 7 × 1 = 7 cm
Height of last pillar = 10.5 cm
Formula Used:
Pythagoras Theorem: ![](data:image/png;base64,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)
⇒![](data:image/png;base64,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)
Length of slant ladder = ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAAbCAMAAABSirFMAAAAAXNSR0IArs4c6QAAAJBQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjpmOjqQOmaQOma2OpDbZgAAZgA6ZgBmZjoAZjo6ZjqQZpDbZrbbZrb/kDoAkDo6kDpmkGY6kLbbkNv/tmYAtmY6ttv/tv//25A625Bm27Zm27aQ29u229v/2////7Zm/9uQ/9u2/9vb//+2///bJDffTAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABk0lEQVRIS+1U21aDMBBMvFTUomjrhYrGGrHlYvL/f+dubhBSSjkee3wgD7RAdmZ3Zggh0/rnCnD6Z6uZXK7ejiCDeCiOwFJetEk2C0pvfsf6CdoEMOyZEGPNrBB3ryQ/OUDCr6XeJDNK52vTVhWhw1AewMiXD0KQiVQRXuH3ssMiU/2iWfWCnkIZkKSzok71/wYhhKnm1hZuNvPbDmbAUsVrs7nEuUtqurB9qnoPxt2IRKPngS3hLIChW2L4IxJjbZvFwnxvcd+7lYdrO3jofT8LCoYsePUVMzB1RrEDcW80lalqqASSsmPDEIvmUizXET3HZi3MZqumdTnW4ooEU9JiYe5c8JOnFdP4jkWunkidYsYamCoCI7hFZKafjvN4OzSL88UM5KVHQgLd8aIoe9aw++1an1Ml0OVYyTeehaO6LskM2br9gp656cLGeCfPzlm0TRgvZYuagMHD5hu1WJxeGVvU13XwLDLDo+TsEQrgFKCxSjOw1Et4HNvzxsKJZI9O/axj33DvPB5bPe2fFNinwA+wkib+WaX6pAAAAABJRU5ErkJggg==)
= ![](data:image/png;base64,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)
= ![](data:image/png;base64,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)
= 12.619 cm (ans)
Question 13.Standing at 5 m apart from a vertical pole of height 3 m, Sudha observed a building at the back of the pillar that tip of the pillar is in line with the top of the building. If the distance between pillar and building is 10 m, estimate the height of the building. [Here height of Sudha is neglected]
Answer:Let the height of the building be x cm.
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)
In
ABC,
![](data:image/png;base64,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)
In
ADE,
![](data:image/png;base64,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)
⇒![](data:image/png;base64,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)
⇒![](data:image/png;base64,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)
⇒![](data:image/png;base64,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)
Height of building = 9 cm.
Question 14.Draw a quadrilateral of any measurements. Construct a dilation of scale factor 3. Measure their corresponding sides and verify whether they are similar.
Answer:Given, Dilation of scale factor = 3
Let’s draw a square with each side = 3 cm
![](data:image/png;base64,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)
Now on dilating the square using scale factor = 3, then
Each side of the square becomes =
cm
![](data:image/png;base64,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)
We know that two figures are similar if their angles are same.
In the two squares drawn above we know that each angle = 90![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAYBAMAAADE/PquAAAAAXNSR0IArs4c6QAAADBQTFRFAAAAAAAAADpmADqQOgAAOjqQOma2ZgBmkNv/ttv/tv//27Zm2////7Zm/9uQ//+2XNrvcwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAI0lEQVQYV2NgwAV4HTUZGL43bD7A8Izh+wIga+sBBrAYVQAA/JwJQhSldswAAAAASUVORK5CYII=)
Hence, both the figures are similar.
Name five pairs of congruent objects, you use daily.
Answer:
Congruent Objects have the same size, same shape and same angle. If you place a congruent object in front of a mirror, the image that you see is congruent or "equal" to the object. They completely overlap each other.
Any five pairs of congruent objects you use daily are:
a) Biscuits of same pack
b) All A4 sheets
c) Two bangles
d) Two balls of same brand and same size
e) Two earrings of the same set
Question 2.
Draw two congruent figures. Are they similar? Explain.
Answer:
We know that two figures are “congruent” if they have the same size, same shape and same angle.
When two figures are “similar”, their angles are same. But that does not mean they have to be congruent. Whereas “Congruent” figures are “always similar”.
Example 1:
Above two figures are congruent as they have same size, same shape and same angle and all congruent figures are similar.
Example 2:
Figures given above are similar as they have same angles but are not congruent.
Question 3.
Take two similar shapes. If you slide rotate or flip one of them, does the similarity remain?
Answer:
Two figures shown above are similar to each other as they have same angles.
On rotating figure on left by 180, we get:
We see that the rotated figure is similar to figure on the right.
Question 4.
If Δ ABC ≅ Δ NMO, name the congruent sides and angles.
Answer:
Given: Δ ABC ≅ Δ NMO
Congruent sides:
a) AB = NM
b) BC = MO
c) AC = NO
Congruent angles:
a) ∠A = ∠N
b) ∠B = ∠M
c) ∠C = ∠O
Question 5.
State whether the following statements are true. Explain with reason.
Two squares of side 3 cm each and one of them rotated through 45o are congruent.
Answer:
True
On rotating the square by 45, the length of side, angle and shape remains the same. Hence, they are congruent.
Question 6.
State whether the following statements are true. Explain with reason.
Any two right triangles with hypotenuse 5cm, are congruent.
Answer:
True
For a right angled triangle to have hypotenuse equal to 5 cm, the other two sides have to be 3 cm and 4 cm as the only possible way. As, by Pythagoras theorem for Right angled triangles. Thus, any two right triangles with hypotenuse 5cm have same angles and are congruent.
Question 7.
State whether the following statements are true. Explain with reason.
Any two circles of radii 4 cm each are congruent.
Answer:
True
Any two circles of radii 4 cm would completely overlap each other when put front of mirror due to same radii of 4 cm. Hence they are congruent.
Question 8.
State whether the following statements are true. Explain with reason.
Two equilateral triangles of side 4 cm each but labeled as ΔABC and ΔLHN are not congruent.
Answer:
False
Two equilateral triangles of side 4 cm and angle 60 each but labeled as ΔABC and ΔLHN would still be congruent as they have same sides and same angles.
Question 9.
State whether the following statements are true. Explain with reason.
Mirror image of a polygon is congruent to the original.
Answer:
True
Mirror image of a polygon would have same sides and angles as the original and thus, is congruent to the original.
Question 10.
Draw a polygon on a square dot sheet. Also draw congruent figures in different directions and mirror image of it.
Answer:
Question 11.
Using a square dot sheet or a graph sheet draw a rectangle and construct a similar figure.
Find the perimeter and areas of both and compare their ratios with the ratio of their corresponding sides.
Answer:
Perimeter = 2(l + b)
= 2(2 + 1)
= 2(3)
= 6 cm
Area = l×b
= 2×1
=
A figure similar to above figure is shown below:
Perimeter =
=
=
= 12 cm
Area =
=
=
Ratio of the sides of the two figures (fig 2:fig 1) = 2:1
Ratio of the areas of the two figures (fig 2:fig 1) = 3:1
Ratio of the perimeter of the two figures (fig 2:fig 1) = 2:1
Question 12.
7 pillars are used to hold a slant iron ladder as shown in the figure. If the distance between every two pillars is 1 m and height of the last piller is 10.5 m. Find the height of pillar.
Answer:
Given, Distance between every two pillars = 1 m
Height of the last pillar = 10.5 m
Number of pillars used to hold a slant iron ladder = 7
Distance between the tip of ladder on floor to the last pillar = 7 × 1 = 7 cm
Height of last pillar = 10.5 cm
Formula Used:
Pythagoras Theorem:
⇒
Length of slant ladder =
=
=
= 12.619 cm (ans)
Question 13.
Standing at 5 m apart from a vertical pole of height 3 m, Sudha observed a building at the back of the pillar that tip of the pillar is in line with the top of the building. If the distance between pillar and building is 10 m, estimate the height of the building. [Here height of Sudha is neglected]
Answer:
Let the height of the building be x cm.
In ABC,
In ADE,
⇒
⇒
⇒
Height of building = 9 cm.
Question 14.
Draw a quadrilateral of any measurements. Construct a dilation of scale factor 3. Measure their corresponding sides and verify whether they are similar.
Answer:
Given, Dilation of scale factor = 3
Let’s draw a square with each side = 3 cm
Now on dilating the square using scale factor = 3, then
Each side of the square becomes = cm
We know that two figures are similar if their angles are same.
In the two squares drawn above we know that each angle = 90
Hence, both the figures are similar.
Exercise 8.2
Question 1.Cut the bold type English alphabets (capital) and paste in your note book. Draw possible number of lines of symmetry for each of the letter.
(i) How many letters have no linear symmetry?
(ii) How many letters have one line of symmetry?
(iii) How many letters have two lines of symmetry?
(iv) How many letters have more than two lines of symmetry?
(v) Which of them have rotational symmetry?
(vi) Which of them have point symmetry?
Answer:(i) 9; F,G,J,L,N,P,Q,R,S
(ii) 13; A,B,C,D,E,K,M,T,U,V,W,Y,Z
(iii)3; H,I,X
(iv) 1;O
(v) 1;O
When a shape it looks the same after some rotation by a partial turn, then its said to have rotational symmetry
(vi) 5; H,J,N,O,X
A figure has point symmetry when it looks the same when up-side-down, or when rotated by 180
.
Question 2.Draw lines of symmetry for the following figures. Identify which of them have point symmetry. Is there any implication between lines of symmetry and point symmetry?
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Answer:![](data:image/png;base64,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)
Line of symmetry = 2
![](data:image/png;base64,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)
Line of symmetry = 3
![](data:image/png;base64,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)
Line of symmetry = 8
![](data:image/png;base64,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)
Line of symmetry = 10
![](data:image/png;base64,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)
Line of symmetry = 12
![](data:image/png;base64,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)
Line of symmetry = 14
![](data:image/png;base64,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)
Line of symmetry = 16
All of the above figures have point symmetry.
Question 3.Name some natural objects with faces which have atleast one line of symmetry.
Answer:Some natural objects with faces which have atleast one line of symmetry are:
a) Moon
b) Sun
c) Human body
d) Star Fish
e) Plant Leaf
Question 4.Draw three tessellations and name the basic shapes used on your tessellation.
Answer:A tessellation is created when a shape is repeated over and over again to cover the plane without any overlaps or gaps.
Basic figure used-Rectangle
![](data:image/png;base64,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)
Basic figure used-Triangle
![](data:image/png;base64,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)
Basic figure used-Square
![](data:image/png;base64,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)
Cut the bold type English alphabets (capital) and paste in your note book. Draw possible number of lines of symmetry for each of the letter.
(i) How many letters have no linear symmetry?
(ii) How many letters have one line of symmetry?
(iii) How many letters have two lines of symmetry?
(iv) How many letters have more than two lines of symmetry?
(v) Which of them have rotational symmetry?
(vi) Which of them have point symmetry?
Answer:
(i) 9; F,G,J,L,N,P,Q,R,S
(ii) 13; A,B,C,D,E,K,M,T,U,V,W,Y,Z
(iii)3; H,I,X
(iv) 1;O
(v) 1;O
When a shape it looks the same after some rotation by a partial turn, then its said to have rotational symmetry
(vi) 5; H,J,N,O,X
A figure has point symmetry when it looks the same when up-side-down, or when rotated by 180.
Question 2.
Draw lines of symmetry for the following figures. Identify which of them have point symmetry. Is there any implication between lines of symmetry and point symmetry?
Answer:
Line of symmetry = 2
Line of symmetry = 3
Line of symmetry = 8
Line of symmetry = 10
Line of symmetry = 12
Line of symmetry = 14
Line of symmetry = 16
All of the above figures have point symmetry.
Question 3.
Name some natural objects with faces which have atleast one line of symmetry.
Answer:
Some natural objects with faces which have atleast one line of symmetry are:
a) Moon
b) Sun
c) Human body
d) Star Fish
e) Plant Leaf
Question 4.
Draw three tessellations and name the basic shapes used on your tessellation.
Answer:
A tessellation is created when a shape is repeated over and over again to cover the plane without any overlaps or gaps.
Basic figure used-Rectangle
Basic figure used-Triangle
Basic figure used-Square