Question

two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. which congruence theorem can be used to prove that the triangles are congruent? \bigcirc sss \bigcirc aas \bigcirc sas \bigcirc hl

Explanation:

• SSS (Side - Side - Side): Requires three pairs of congruent sides. But the problem mentions two angles and a non - included side, so SSS is not relevant.
• AAS (Angle - Angle - Side): When two angles and a non - included side of one triangle are congruent to the corresponding parts of another triangle, the AAS congruence theorem applies.
• SAS (Side - Angle - Side): Requires two sides and the included angle. Since the side is non - included here, SAS is not correct.
• HL (Hypotenuse - Leg): Applies only to right - angled triangles. There is no information about right angles in the problem.

Answer:

B. AAS