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

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

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Page 1: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

4-2 Triangle Congruence by SSS and SAS

Objective: to prove two triangles congruent using the SSS and SAS Postulates

Page 2: 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.

Page 3: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates
Page 4: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

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.

Page 5: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Ex 1:Using SSS

Page 6: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Ex 1B:Try Another Proof!

Page 7: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

IncludedWhat 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.

Page 8: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

SAS Postulate

Page 9: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Ex 2: Using SAS

Page 10: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Ex 2B: Using SAS

Page 11: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Ex 3: Are the Triangles Congruent?

Page 12: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Ex 3B: Are the Triangles Congruent?

Page 13: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

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.

Page 14: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

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.

Page 15: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

Practice Proofs!

Page 16: 4-2 Triangle Congruence by SSS and SAS Objective: to prove two triangles congruent using the SSS and SAS Postulates

More Proofs!