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4-2 Triangle Congruence by SSS and SAS

4-2 Triangle Congruence by SSS and SAS

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4-2 Triangle Congruence by SSS and SAS. Side-Side-Side Postulate. If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. Using SSS. Included Angles. - PowerPoint PPT Presentation

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Page 1: 4-2  Triangle Congruence by SSS and SAS

4-2 Triangle Congruence by SSS and SAS

Page 2: 4-2  Triangle Congruence by SSS and SAS

Side-Side-Side Postulate

If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

Page 3: 4-2  Triangle Congruence by SSS and SAS

Using SSS

Page 4: 4-2  Triangle Congruence by SSS and SAS
Page 5: 4-2  Triangle Congruence by SSS and SAS

Included Angles• You can also show

relationships between a pair of corresponding sides and an included angle.

Side-Angle-Side Postulate: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Page 6: 4-2  Triangle Congruence by SSS and SAS

Using SAS

• What other information do you need to prove DEF FGD by SAS?

What other information do you need to prove LEB BNL by SAS?

Page 7: 4-2  Triangle Congruence by SSS and SAS

Identifying Congruent Triangles

Would you use SSS or SAS to prove the triangles congruent or is there not enough information to prove them congruent?