Question

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

Explanation:

Step1: Analyze vertical angles

Vertical angles are congruent. So, $\angle PNQ\cong\angle SNT$.

Step2: Check side - angle - side (SAS)

We have two pairs of sides (marked with one and two ticks respectively) and the included angle (vertical angles) congruent.

Answer:

SAS