Question

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

Explanation:

To determine the congruence rule, we analyze the given triangles:

• We have two angles (marked with arcs) and a non - included side (marked with ticks) congruent between the two triangles.
• The AAS (Angle - Angle - Side) congruence criterion states that if two angles and a non - included side of one triangle are congruent to the corresponding two angles and non - included side of another triangle, then the triangles are congruent.
• SAS requires two sides and the included angle, SSS requires three sides, and ASA requires two angles and the included side. Here, the pattern matches AAS.

Answer:

AAS