Question

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

Explanation:

Step1: Identify congruent parts

We see two - pairs of sides are marked as congruent, and the vertical angles at point M are congruent.

Step2: Recall congruence rules

SAS (Side - Angle - Side) rule states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. The vertical angles are the included angles between the marked - congruent sides.

Answer:

SAS