Question

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

Explanation:

Step1: Identify congruent parts

We see two pairs of angles are marked congruent and the included - side (AC) is common to both triangles $\triangle ABC$ and $\triangle AFC$.

Step2: Recall congruence rules

SSS (Side - Side - Side) requires all three sides of one triangle to be congruent to three sides of another triangle. SAS (Side - Angle - Side) requires two sides and the included angle to be congruent. ASA (Angle - Side - Angle) requires two angles and the included side to be congruent.

Answer:

ASA