Question

These two triangles are congruent. What theorem would apply to these two triangles?
sas congruence theorem
ssa congruence theorem
sss congruence theorem
aas congruence theorem

Answer 1

If the two triangles are congruent, the applicable theorem would depend on the information provided about their sides and angles. However, since you are asking about congruence, the most common theorems are:

1. **SSS Congruence Theorem**: If all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.
2. **SAS Congruence Theorem**: If two sides and the angle between them in one triangle are equal to two sides and the angle between them in another triangle, the triangles are congruent.
3. **AAS Congruence Theorem**: If two angles and a non-included side in one triangle are equal to two angles and the corresponding non-included side in another triangle, the triangles are congruent.

The **SSA Congruence Theorem** is not a valid criterion for triangle congruence on its own, so it would not apply here.

If you know the specific sides and angles that are congruent between the two triangles, you can choose the correct theorem accordingly.