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SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates.

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Presentation on theme: "SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates."— Presentation transcript:

1 SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates.

2 Yesterday we learned that…
… two polygons were congruent if all sides AND all angles were congruent. But that’s WAY more info than we need!!

3 Today we will learn… …how to prove that two triangles are congruent by using: 3 pairs of corresponding sides 2 pairs of corresponding sides and 1 pair of corresponding angles 1 pair of corresponding sides and 2 pairs of corresponding angles

4 Remember…?? A postulate is an accepted statement or fact!

5 Side-Side-Side Postulate (SSS)

6 Side-Angle-Side Postulate (SAS)

7 Identifying Congruent Triangles
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, write not enough information.

8 Identifying Congruent Triangles
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, write not enough information.

9 Identifying Congruent Triangles
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information, write not enough information.

10 Angle-Side-Angle Postulate (ASA)

11 Which two triangles are congruent by ASA?

12 Angle-Angle-Side Theorem (AAS)

13

14 NO TRANSPORTATION! No AAA No Donkeys

15 List the theorem/postulate that you would use to prove the two triangles are congruent. If none apply, write not enough information. 1. 2. 3. 4.


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