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4.8Prove Triangles Congruent by SSS Side-Side-Side (SSS) Congruence Postulate If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent. A B C R S T
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A B D C E 4.8Prove Triangles Congruent by SSS Example 1 Use the SSS Congruence Postulate Solution It is given thatand __________. So, by the ____________________________, SSS Congruence Postulate
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4.8Prove Triangles Congruent by SSS Example 2 Congruent triangles in a coordinate plane Use the SSS Congruence Postulate to show that Use the Distance Formula to show that corresponding sides are the same length. Solution So, LM = OP, and hence
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4.8Prove Triangles Congruent by SSS Example 2 Congruent triangles in a coordinate plane Use the SSS Congruence Postulate to show that Use the Distance Formula to show that corresponding sides are the same length. Solution So, MN = PN, and hence
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4.8Prove Triangles Congruent by SSS Example 2 Congruent triangles in a coordinate plane Use the SSS Congruence Postulate to show that Use the Distance Formula to show that corresponding sides are the same length. Solution So, NL = NO, and hence So, by the _______________________, you know that SSS Congruence Postulate
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4.8Prove Triangles Congruent by SSS Checkpoint. Complete the following exercises. 1.Decide whether JKL MKL is true. Explain your reasoning. K J 9 8 M L 9 8 So, by the SSS Congruence Postulate
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4.8Prove Triangles Congruent by SSS Checkpoint. Complete the following exercises. DFG has vertices D( 2, 4), F(4, 4), and G( 2, 2). LMN has vertices L( 3, 3), M( 3, 3), and N( 1, 3). Graph the triangles in the same coordinate plane and show that they are congruent. 2. So, by the SSS Congruence Postulate
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4.8Prove Triangles Congruent by SSS Pg. 256, 4.8 #1-14
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