Section 11-7 Ratios of Areas.

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Presentation transcript:

Section 11-7 Ratios of Areas

Comparing areas of triangles If two triangles have equal heights, then the ratio of their areas equals the ratio of their bases. A D B C 3 6 8

If two triangles have equal bases, then the ratio of their areas equals the ratio of their heights. C 9 D 3 15

If two triangles are similar, then the ratio of their areas equals the square of their scale factor. B C D E F 5 8

THEOREM 11-7 If the scale factor of two similar figures is a : b, then the ratio of the perimeters is a : b. the ratio of the areas is

True or False. If two quadrilaterals are similar, then their areas must be in the same ratio as the square of the ratio of their perimeters. True If the ratio of the areas of two equilateral triangles is 1:3, then the ratio of the perimeters is 1:3. True

If the ratio of the perimeters of two rectangles is 4:7, then the ratio of their areas must be 16:49. False If the ratio of the areas of two squares is 3:2, then the ratio of their sides must be True