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?
sss
aas
sas
hl

Explanation:

• SSS (Side - Side - Side): Requires three pairs of congruent sides. But the problem mentions angles, so this is not relevant.
• AAS (Angle - Angle - Side): When two angles and a non - included side of one triangle are congruent to the corresponding two angles and non - included side of another triangle, the triangles are congruent. This matches the given condition.
• SAS (Side - Angle - Side): Requires two sides and the included angle. The problem has a non - included side, so this is incorrect.
• HL (Hypotenuse - Leg): Applicable only for right - angled triangles. There is no information about right angles here.

Answer:

AAS