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LESSON 8.3: Similar Polygons

LESSON 8.3: Similar Polygons. OBJECTIVES: To use AA, SAS, and SSS Similarity Statements To apply AA, SAS, and SSS Similarity Statements. Vocabulary and Key Concepts. Angle-Angle Similarity Postulate

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LESSON 8.3: Similar Polygons

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  1. LESSON 8.3: Similar Polygons OBJECTIVES: To use AA, SAS, and SSS Similarity Statements To apply AA, SAS, and SSS Similarity Statements

  2. Vocabulary and Key Concepts Angle-Angle Similarity Postulate (AA ) Postulate ____________________________________________________________________________ If two angles of one triangle are congruent to two angles of another triangle then the two triangles are similar.

  3. Using AA Similarity Postulate AMX BKX

  4. Theorem 8-1: Side-Angle-Side Similarity (SAS ) Theorem _______________________________________________________________________________________________________________________________________ ___________________________. If two sides of one triangle are proportional to two sides of another triangle, and the included angle in one triangle is congruent to the included angle in the other triangle, then the two triangles are similar.

  5. If the corresponding sides of two triangles are proportional, then the two triangles are similar. Theorem 8-2: Side-Side-Side Similarity (SSS ) Theorem______ _________________________________________________________________________________.

  6. USING SIMILARITY THEOREMS Is? Explain.

  7. Indirect Measurement with Similar Triangles Indirect measurement is _______________________________________________________________________________________________________________. the measurement of very large objects or of long distances (which are often made indirectly), using similar triangles and proportions

  8. Indirect Measurement with Similar Triangles Alex Giulano’s eye is 168 cm above the ground while he is standing 114 cm from the mirror. If the mirror is 570 cm from the flagpole, how tall is the flagpole? I ♥ Geometry!

  9. FINAL CHECKS FOR UNDERSTANDING 1. You want to prove that by the SSS Theorem. Complete the proportion that is needed to use this theorem. FH = a = FG b = XS = c

  10. FINAL CHECKS FOR UNDERSTANDING Name a postulate or theorem that can be used to prove that the two triangles are similar. Then, write a similarity statement. A J 60 30 30 K L 60 B C

  11. Homework

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