Question

two sides and the included angle 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?
○ asa
○ sss
○ sas
○ hl

Explanation:

The SAS (Side - Angle - Side) congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. In the given problem, we have two sides and the included angle of one triangle congruent to the corresponding parts of another triangle, which exactly matches the SAS theorem.

• ASA (Angle - Side - Angle) requires two angles and the included side.
• SSS (Side - Side - Side) requires all three sides.
• HL (Hypotenuse - Leg) is for right - angled triangles.

Answer:

C. SAS