Question

which rule explains why these triangles are congruent? sss aas sas asa 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 \(G\) are congruent.

Step2: Recall congruence rules

The Side - Angle - Side (SAS) congruence 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, then the two triangles are congruent. Here, the two marked sides and the included vertical - angle satisfy the SAS rule.

Answer:

SAS