Question

which rule explains why these triangles are congruent?
aas
sas
asa
sss
these triangles cannot be proven congruent.

Explanation:

Step1: Recall congruence rules

• 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.
• 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.
• 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.
• SSS (Side - Side - Side): All three sides of one triangle are equal to the corresponding three sides of another triangle.

Step2: Analyze the given triangles

In the given triangles, we have two angles (the marked angles) and a non - included side (the side that is not between the two marked angles) that are congruent.

Answer:

A. AAS