Question

consider the diagram.
the congruence theorem that can be used to prove $\triangle mnp \cong \triangle abc$ is
\bigcirc sss.
\bigcirc asa.
\bigcirc sas.
\bigcirc aas.

Explanation:

Step1: Recall congruence theorems

• SSS (Side - Side - Side): All three sides of one triangle are equal to the corresponding sides of another triangle.
• ASA (Angle - Side - Angle): Two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.
• SAS (Side - Angle - Side): Two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.
• AAS (Angle - Angle - Side): Two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle.

Step2: Analyze the given triangles

From the diagram, we can observe that there are two angles and a non - included side.

Answer:

AAS.