4-4 and 4-5: Congruent Triangle Theorems

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Presentation transcript:

4-4 and 4-5: Congruent Triangle Theorems

In order for two triangles to be congruent, ALL 3 corresponding sides must be congruent, and ALL 3 corresponding angles must be congruent.

BUT, this would take forever, so there are some short-cuts: SSS – Side-side-side – prove the 3 corresponding sides congruent. SAS – Side-angle-side – prove two sides and the included angle are congruent. ASA – Angle-side-angle – prove two angles and the included side are congruent. AAS – Angle-angle-side – prove two angles and a side congruent. (The side is not included.)

Remember: There is no AAA or ASS.

Tell which triangles are congruent Tell which triangles are congruent. Which theorem or postulate could you use to prove these two triangles congruent? EX 1: EX 2:

Tell which triangles are congruent Tell which triangles are congruent. Which theorem or postulate could you use to prove these two triangles congruent? EX 3: EX 4: T R G O H

Tell which triangles are congruent Tell which triangles are congruent. Which theorem or postulate could you use to prove these two triangles congruent? EX 5: EX 6:

Assignment: