Question

Which triangles are congruent by AAS? Fill in the blank beside the triangles with yes or no.

a. Yes
b. No

Answer 1

The AAS (Angle-Angle-Side) congruence theorem states that if two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent.

Step-by-step explanation:

The AAS (Angle-Angle-Side) congruence theorem states that if two angles and a non-included side of one triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent. So, if we have two triangles that have two pairs of congruent angles and a pair of congruent corresponding sides, we can use the AAS congruence to determine that the triangles are congruent. If we don't have this combination, then the triangles would not be congruent by AAS.

1. B₁AO and BAO: No
2. NOF and B₁A₁F: Yes