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Lesson 8-2: Similar Polygons

Lesson 8-2: Similar Polygons. shape. size. Similar: “Same _______ – different ______” Think of it is ______________________. expansion/contraction. A. X. 10. 6. 15. C. 9. B. 8. Z. Y. 12. angles. Look for properties about _____________ and __________________. sides.

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Lesson 8-2: Similar Polygons

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  1. Lesson 8-2: Similar Polygons shape size • Similar: “Same _______ – different ______” • Think of it is ______________________ expansion/contraction A X 10 6 15 C 9 B 8 Z Y 12 angles Look for properties about _____________ and __________________ sides

  2. Two properties: • Corresponding angles in similar figures are ____________ • Corresponding sides are_____________ congruent proportional matching Corresponding means _____________ Similarity We can write a ___________ Statement: ABC XYZ ∆ _________ ~ ∆ __________ NEW SYMBOL!!! ~ MEANS _________________ “similar to

  3. Solution: a) 780; corresponding angles are congruent b) AC; corresponds to BC – sides are proportional Solution: Check sides are proportional: Check corresponding angles are congruent: 1st figure: 120, 60, 120, 60; 2nd: 100, 80, 100, 80 NOT SIMILAR

  4. Solution: Set up a proportion: Cross-multiply & divide: x = 16 _______________ Ratio: the ratio of a corresponding ________ in similar figures Similarity sides Example 3 Similarity Ratio = ______ = _______

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