Question

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

Explanation:

Step1: Identify congruent parts

We see two - triangles $\triangle FJH$ and $\triangle FGH$. There is a common side $FH = FH$. Also, we have one pair of congruent sides (marked with one - tick) and one pair of congruent angles (marked with red arcs).

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, we have two sides and the included angle congruent.

Answer:

SAS