Question

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

Explanation:

Step1: Identify congruent parts

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

Step2: Recall congruence rules

ASA (Angle - Side - Angle) requires two angles and the included side. AAS (Angle - Angle - Side) requires two angles and a non - included side. SSS (Side - Side - Side) requires three sides. SAS (Side - Angle - Side) requires two sides and the included angle.

Step3: Match with the rule

We have two sides and the included angle (the vertical angles) congruent. So, the rule is SAS.

Answer:

SAS