4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

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4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Congruent Polygons Polygons that have congruent corresponding parts – they have matching sides and angles. When you name congruent polygons, you must list corresponding vertices in the same order.

Congruent Triangles ORDER MATTERS!!! A D B E C F Corresponding Parts

Example Write six things that are congruent if: Answers:

Theorem 4-1: Third Angles Theorem

All we need is to show 3 pairs of Corresponding Sides are congruent in order to prove Triangle Congruence. Let’s look at a couple of two-column proofs that utilize the SSS Postulate.

Example 1:Using SSS

Try Another Proof!

SAS Postulate

Example 2: Using SAS

Ex 2B: Using SAS

Example 3: Are the Triangles Congruent?

Ex 3B: Are the Triangles Congruent?

Apply: Are these Triangles Congruent? If congruent say why, if not explain what else you would need to know to prove them congruent by SSS or SAS.

Apply: Are these Triangles Congruent? If congruent say why, if not explain what else you would need to know to prove them congruent by SSS or SAS.

Practice Proofs!

More Proofs!