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Chapter 6.4 Geometry AA Similarity Objective(s) Use the AngleAngle Similarity Postulate to prove triangles are similar. Recall similar polygon definition: Two polygons are similar if and only if: 1. Corresponding angles are congruent, and 2. Side lengths are proportional. Triangles have some special postulates and theorems: AA Similarity If ___ ______ of one triangle are __________ to two angles of another triangle, then the triangles are _______. Examples B 1. Given AB || DE, explain how the triangles are similar. E C A D H 2. Determine if the triangles are similar. If so, write a similarity statement and an explanation. 26o 64o C . E D G K Chapter 6.4 Cont'd 3. Determine if the triangles are similar. If so, write a similarity statement and an explanation. A Redraw E 45o B 45 D o C S 4. Determine if the triangles are similar. If so, write a similarity statement and an explanation. T V R U 5. A flagpole casts a shadow 50 feet long. At the same time a woman standing 5' 4" tall casts a shadow 40 inches long. About how tall is the flagpole? Use similar right triangles .