Question

using triangle congruence theorems
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?
hl
sss
aas
sas

Explanation:

• HL (Hypotenuse - Leg): Applies to right - angled triangles where the hypotenuse and one leg are congruent.
• SSS (Side - Side - Side): Requires all three sides of one triangle to be congruent to the three sides of another triangle.
• 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.
• SAS (Side - Angle - Side): Demands two sides and the included angle of one triangle to be congruent to two sides and the included angle of another triangle.

Since the problem states two angles and a non - included side, we use the AAS congruence theorem.

Answer:

AAS