1. Prove Triangles Congruent by SSS
4.8
Prove 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

2. Prove Triangles Congruent by SSS
4.8
Prove Triangles Congruent by SSS
Example 1
Use the SSS Congruence Postulate A B D C E
Solution
It is given that
and __________.
SSS Congruence Postulate
So, by the ____________________________,

3. Prove Triangles Congruent by SSS
4.8
Prove Triangles Congruent by SSS
Example 2
Congruent triangles in a coordinate plane
Use the SSS Congruence Postulate to show that
Solution
Use the Distance Formula to show that corresponding sides are the same length.
So, LM = OP, and hence

4. Prove Triangles Congruent by SSS
4.8
Prove Triangles Congruent by SSS
Example 2
Congruent triangles in a coordinate plane
Use the SSS Congruence Postulate to show that
Solution
Use the Distance Formula to show that corresponding sides are the same length.
So, MN = PN, and hence

5. Prove Triangles Congruent by SSS
4.8
Prove Triangles Congruent by SSS
Example 2
Congruent triangles in a coordinate plane
Use the SSS Congruence Postulate to show that
Solution
Use the Distance Formula to show that corresponding sides are the same length.
So, NL = NO, and hence
So, by the _______________________, you know that
SSS Congruence Postulate

6. Prove Triangles Congruent by SSS
4.8
Prove Triangles Congruent by SSS
Checkpoint. Complete the following exercises.
Decide whether JKL MKL is true. Explain your reasoning. M L 9 8 K J 9 8
So, by the
SSS Congruence Postulate

7. Prove Triangles Congruent by SSS
4.8
Prove 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

8. Prove Triangles Congruent by SSS
4.8
Prove Triangles Congruent by SSS
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