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Applying similarity

Applying similarity. Any 2 regular polygons with the same number of sides are similar. Therefore, all regular polygons with the same number of sides are similar to each other. Using similarity to find unknown measures.

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Applying similarity

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  1. Applying similarity Any 2 regular polygons with the same number of sides are similar. Therefore, all regular polygons with the same number of sides are similar to each other

  2. Using similarity to find unknown measures • By looking at corresponding segments, a similarity ratio can be written. Then use a proportion to solve. 20 = x = 15 • 8 6 y 20 x 8 6 15 y

  3. Applying similarity to solve for unknowns • Hexagons ABCDEF and GHIJKL are regular similar hexagons. Find x and y. The similarity ratio is 3:2 A B G H 12 X2 +4 F C L I 3y-6 D K E K J

  4. What is the ratio of the perimeter of the 2 figures • Perimeter of ABCDEF = • Perimeter of GHIJKL = • Ratio of their perimeters is ?

  5. Theorem 44-1 • If 2 polygons are similar, then the ratio of their perimeters is equal to the ratio of their corresponding sides

  6. Applying similarity to solve a perimeter problem • Figures HIJK and LMNO are similar polygons. Their corresponding sides have a ratio of 2:5. If the perimeter of HIJK is 27 inches, what is the perimeter of LMNO? • HIJK2 = 27 • LMNO 5 x • So 2x = 5(27) x = 67.5

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