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8.4: Congruence and Proportion in Similar Triangles

8.4: Congruence and Proportion in Similar Triangles. If triangles are similar then: Corresponding angles are congruent Corresponding sides are proportional. Just like CPCTC…. C A S T C. C S S T P. orrseponding. orrseponding. ngles of. ides of. imilar. imilar. riangles are.

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8.4: Congruence and Proportion in Similar Triangles

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  1. 8.4: Congruence and Proportion in Similar Triangles

  2. If triangles are similar then: • Corresponding angles are congruent • Corresponding sides are proportional

  3. Just like CPCTC… C A S T C C S S T P orrseponding orrseponding ngles of ides of imilar imilar riangles are riangles are roportional ongruent CASTC CSSTP

  4. Example 1 Given: Prove: ∠A≅∠L C E A B L

  5. Example 2 Given: ∠F≅∠A Prove: F O R A Y

  6. Example 3 Given: OS∥LD Prove: FO∙LD=FL∙OS F O S L D

  7. Example 4 An observer found that a tree cast 40 foot tree cast a 20 foot shadow. A nearby tree cast a 18 foot shadow. How tall is the second tree?

  8. Homework p. 348 3, 5-9, 14, 17

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