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Chapter 10: Area Section 10-4: Perimeters and Areas of Similar Figures.

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Presentation on theme: "Chapter 10: Area Section 10-4: Perimeters and Areas of Similar Figures."— Presentation transcript:

1 Chapter 10: Area Section 10-4: Perimeters and Areas of Similar Figures

2 Objective: To find the perimeters and areas of similar figures.

3 Theorem 10-7: “Perimeters and Areas of Similar Figures” If the similarity ratio 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

4 Finding Ratios in Similar Figures The two trapezoids are similar. Find the ratio of their perimeters. Find the ratio of their areas. 6 9

5 Finding Areas Using Similar Figures The area of the larger pentagon is 27.5 cm 2. Find the area of the smaller pentagon. 10 4

6 Finding Areas Using Similar Figures The corresponding sides of two similar parallelograms are 3 and 4. The area of the larger parallelogram is 96 in 2. Find the area of the smaller parallelogram.

7 Community Service Example During the summer, a group of high school students used a plot of city land and harvested 13 bushels of vegetables that they gave to a food pantry. Their project was so successful that the next summer, the city will let them use a larger, similar plot of land. In the new plot, each dimension is 2.5 times the corresponding dimension of the original plot. How many bushels can they expect to harvest next year?

8 Finding Similarity and Perimeter Ratios The areas of two similar triangles are 50 cm 2 and 96 cm 2. What is the similarity ratio and the ratio of their perimeters?


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