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Perimeters and Areas of Similar Figures
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You will use the ratio of two similar figures to find their perimeter and area.
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Theorem 10-7 If the similarity ratio of two similar figures is a / b, then (1)the ratio of their perimeters is a / b (2) the ratio of their areas is a 2 / b 2 Perimeters and Areas of Similar Figures
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Find the ratio for the perimeter for the following similar figures. 5m 13m 5 / 13
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Now, find the ratio for the area for the following similar figures. 5m 13m 25 / 169
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If the area of the larger figure is 439m 2, find the area of the smaller figure. 5m 13m 25 / 169 = x / 439 169x = 10975 169 169 x = 65m 2
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If the area of two similar figures are 49m 2 and 81m 2, find the similarity ratio. A= 49m 2 A= 81m 2 49 81 2d 1d 7 9
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Pre AP Geometry (Textbook) 10.4: Page 555; Problems #1-15 Odd Geometry (Workbook) 10.4: Page 445; Problems #1-13 Odd
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