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8-3 Proving Triangles Similar

8-3 Proving Triangles Similar. One Postulate Two Theorems. Postulate 8-1. Angle-Angle Similarity (AA~) Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Theorem 8-1. Side-Angle-Side Similarity (SAS~) Theorem

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8-3 Proving Triangles Similar

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  1. 8-3Proving Triangles Similar One Postulate Two Theorems

  2. Postulate 8-1 Angle-Angle Similarity (AA~) Postulate • If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

  3. Theorem 8-1 Side-Angle-Side Similarity (SAS~) Theorem • If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar.

  4. Theorem 8-2 Side-Side-Side Similarity (SSS~) Theorem • If the corresponding sides of two triangles are proportional, then the triangles are similar.

  5. #1 Using the Similarity Theorems What theorem or postulate state that the two triangles similar? V W 450 S 450 1. 1. R B 2. 2. 3. 3.

  6. #2 Using Similarity Theorems • Write a similarity statement for the two triangles. G 9 A B 8 8 6 6 E F 12 C

  7. #3 Finding Lengths in Similar Triangles • Find the value of x in the figure. 6 8 12 x

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