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Applying Similarity Using the Angle-Angle (AA) Criterion (5.3.2)

Applying Similarity Using the Angle-Angle (AA) Criterion (5.3.2). April 20th, 2016.

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Applying Similarity Using the Angle-Angle (AA) Criterion (5.3.2)

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  1. Applying Similarity Using the Angle-Angle (AA) Criterion (5.3.2) • April 20th, 2016

  2. *When verifying similarity in the previous section, we come to realize that each time the corresponding angles are congruent, the triangles end up being similar. Furthermore, by knowing two angle measures in a triangle, we already know the third is found by subtracting the first two from . Therefore, maybe we only need two pairs of congruent corresponding angles to know that the two triangles are similar.

  3. *The Angle-Angle (AA) Similarity Statement allows us to prove that two triangles are similar. Since two angles in are congruent to two angles in , we know by the AA Similarity Statement.

  4. Ex. 1: Decide whether each pair of triangles is similar. Explain your answer. b) a) Since only one pair of corresponding angles are congruent, the triangles are not similar by AA. Since and by AA.

  5. Ex. 2: Identify the similar triangles. Find x and the measures of the indicated sides.

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