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5.2 Proving Triangles are Congruent by SSS and SAS

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Presentation on theme: "5.2 Proving Triangles are Congruent by SSS and SAS"— Presentation transcript:

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2 5.2 Proving Triangles are Congruent by SSS and SAS
Remember: CONGRUENCE means that two figures (triangles, side lengths, or angle measures) are exactly the same SIZE and exactly the same SHAPE.

3 Side-Side-Side Congruence Postulate
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are congruent.

4 Example 1 Does the diagram give enough information to show that the triangles are congruent? Explain.

5 Side-Angle-Side Congruence Postulate (SAS)
If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent.

6 Example 2 (a) Does the diagram give enough information to use the SAS Congruence Postulate? Explain your reasoning.

7 Example 2 (b) Does the diagram give enough information to use the SAS Congruence Postulate? Explain your reasoning.

8 PROOF Convincing argument that shows why a statement is true.

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10 Example 3: Write a Proof

11 Example 4


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