4-2 Triangle Congruence by SSS and SAS

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Presentation transcript:

4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Remember: 4.1 Triangle Congruence If you know 3 pairs of Corresponding Angles are congruent and 3 pairs of Corresponding Sides are Congruent, you knew that the triangles were congruent.

Side Side Side Postulate 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.

Ex 1:Using SSS

Ex 1B:Try Another Proof!

Included What does it mean to be included? Like you were included in an event or batteries are included? The word Included can also used when referring to the sides and angles of a Triangle.

SAS Postulate

Ex 2: Using SAS

Ex 2B: Using SAS

Ex 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!