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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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8-3Proving 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 • 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.
Theorem 8-2 Side-Side-Side Similarity (SSS~) Theorem • If the corresponding sides of two triangles are proportional, then the triangles are similar.
#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.
#2 Using Similarity Theorems • Write a similarity statement for the two triangles. G 9 A B 8 8 6 6 E F 12 C
#3 Finding Lengths in Similar Triangles • Find the value of x in the figure. 6 8 12 x