Question

which rule explains why these triangles are congruent?

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. So, \(\angle KGM=\angle JGH\)

Step2: Use SAS (Side - Angle - Side) congruence rule

We have two sides (marked with one tick and the sides \(KG = HG\) and \(MG=JG\) as \(KG\) and \(HG\), \(MG\) and \(JG\) are divided by \(G\) with the same markings) and the included angle (vertical angles \(\angle KGM\) and \(\angle JGH\)) equal.

Answer:

SAS