Answers: SSA and AAA
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Explanation:
The following theorems are triangle congruence theorems
- SSS = side side side
- HL = hypotenuse leg
- SAS = side angle side
- AAS = angle angle side
- ASA = angle side angle
The HL theorem only works for right triangles. It's effectively a special case of SAS.
After the theorems mentioned are crossed off the answer choice list, we're left with SSA and AAA as the answers.
SSA isn't a congruence theorem because it could lead to vague outcomes (refer to the SSA ambiguity for more info).
AAA isn't a congruence theorem either. Imagine having 2 equilateral triangles but one triangle is much larger than the other. Clearly they aren't congruent even though the angles are all the same (60 degrees).
