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# What are the five triangle congruency theorems?

Updated: 11/4/2022

Wiki User

10y ago

SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).

Wiki User

10y ago

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Q: What are the five triangle congruency theorems?
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Incentre.

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The two triangle congruence theorems are the AAS(Angle-Angle-Side) and HL(Hypotenuse-Leg) congruence theorems. The AAS congruence theorem states that if two angles and a nonincluded side in one triangle are congruent to two angles and a nonincluded side in another triangle, the two triangles are congruent. In the HL congruence theorem, if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the two triangles are congruent.

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If the hypotenuse and one leg of a right angled triangle are congruent to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent.

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Pythagoras