7.7: Perimeters and Areas of Similar Figures

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Presentation transcript:

7.7: Perimeters and Areas of Similar Figures

Perimeters of Similar Figures When two figures are similar: The ratio of their perimeters is equal to the ratio of their corresponding side lengths.

Finding the Ratios of Perimeters Find the ratio (red to blue) of the perimeters of the similar rectangles. The ratio of the perimeters is

Areas of Similar Figures When two figures are similar: The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Finding Ratios of Areas Find the ratio (red to blue) of the areas of the similar triangles. The ratio of the areas is

Using Proportions to Find Perimeters and Areas A swimming pool is similar in shape to a volleyball court. Find the perimeter P and the area A of the pool. The rectangular pool and the court are similar. So, use the ratio of corresponding side lengths to write and solve proportions to find the perimeter and area of the pool.