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.

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Presentation transcript:

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

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

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

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

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

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

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

4.8Prove Triangles Congruent by SSS Pg. 256, 4.8 #1-14