10-4 Perimeters and Areas of Similar Figures

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Presentation transcript:

10-4 Perimeters and Areas of Similar Figures

Perimeters and Areas of Similar Figures If the scale factor of two similar figures is 𝑎 𝑏 , then The ratio of their perimeters is 𝑎 𝑏 The ratio of their areas is 𝑎 2 𝑏 2

Problem 1: Finding Ratios in Similar Figures The trapezoids are similar. The ratio of the lengths of corresponding sides is 6 9 𝑜𝑟 2 3 . What is the ratio (smaller to larger) of the perimeters What is the ratio (smaller to larger) of the areas?

Two similar polygons have corresponding sides in the ratio 5:7 What is the ratio (larger to smaller) of their perimeters? What is the ratio (larger to smaller) of their areas?

Problem 2: Finding Areas Using Similar Figures The are of the smaller regular pentagon is about 27.5 square cm. What is the best approximation for the area of the larger pentagon?

Problem 4: Finding Perimeter Ratios The triangles are similar. What is the scale factor? What is the ratio of their perimeters?