Question

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

Explanation:

• AAS (Angle - Angle - Side): This theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, the triangles are congruent. In right - angled triangles, we already have one right angle (angle). If we have two sides (one can be considered as a side) and the non - included right angle (angle), it fits the AAS criterion.
• SSS (Side - Side - Side): Requires all three sides of one triangle to be congruent to the three sides of another triangle. But the problem only mentions two sides.
• SAS (Side - Angle - Side): Requires two sides and the included angle. Here, the angle is non - included.
• HL (Hypotenuse - Leg): Applies specifically to right - angled triangles where the hypotenuse and one leg are congruent. But the problem does not specify hypotenuse and leg, just two sides and a non - included right angle.

Answer:

A. AAS