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Chapter 2 Similarity and Dilations LESSON 2 ANGLE-ANGLE SIMILARITY OF TRIANGLES Angle-Angle Similarity of Triangles You can use Angle-Angle (AA) Similarity to test for triangle similarity. If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. When you use indirect measurement to find unknown lengths, you must first identify the corresponding sides of the similar triangles and then correctly substitute the known lengths into a proportion. Angle-Angle Similarity of Triangles Example 1 – Determine similarity. The triangles are not similar because only one pair of angles are congruent. Try This Example 2 – Use indirect measurement. How tall is the flagpole? ℎ 3.5 = 22 2 2ℎ = 77 ℎ = 38.5 ft Try This How tall is the taller building? ℎ 50 = 50 12.5 12.5ℎ = 2500 ℎ = 200 ft ` What measures must be known in order to calculate the height of tall objects using shadow reckoning? The length of the tall object’s shadow, the length of the shadow of a nearby object and that object’s height.