Proving Triangle Congruence Using the SSS Postulate
This lesson explains the Side-Side-Side (SSS) Congruence Postulate, which states that if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent. It includes practical examples demonstrating how to apply the SSS Postulate, including using the Distance Formula in a coordinate plane. Exercises encourage learners to graph and analyze triangles, reinforcing their understanding of congruence. This consistent method forms the basis for proving triangle congruence in various scenarios.
Proving Triangle Congruence Using the SSS Postulate
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Presentation Transcript
4.8 Prove Triangles Congruent by SSS B S T C R A 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.
4.8 Prove Triangles Congruent by SSS D A E B C Use the SSS Congruence Postulate Example 1 Solution It is given that and __________. SSS Congruence Postulate So, by the ____________________________,
4.8 Prove Triangles Congruent by SSS Use the SSS Congruence Postulate to show that Congruent triangles in a coordinate plane Example 2 Solution Use the Distance Formula to show that corresponding sides are the same length. So, LM = OP, and hence
4.8 Prove Triangles Congruent by SSS Use the SSS Congruence Postulate to show that Congruent triangles in a coordinate plane Example 2 Solution Use the Distance Formula to show that corresponding sides are the same length. So, MN = PN, and hence
4.8 Prove Triangles Congruent by SSS Use the SSS Congruence Postulate to show that So, by the _______________________, you know that Congruent triangles in a coordinate plane Example 2 Solution Use the Distance Formula to show that corresponding sides are the same length. So, NL = NO, and hence SSS Congruence Postulate
4.8 Prove Triangles Congruent by SSS • Decide whether JKL MKL is true. Explain your reasoning. L 9 9 M J 8 8 K Checkpoint. Complete the following exercises. So, by the SSS Congruence Postulate
4.8 Prove Triangles Congruent by SSS 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. Checkpoint. Complete the following exercises. So, by the SSS Congruence Postulate
4.8 Prove Triangles Congruent by SSS Pg. 256, 4.8 #1-14
