Question

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

Explanation:

Step1: Identify given congruent parts

1. $\angle V \cong \angle S$ (marked angles)
2. $VU \cong ST$ (marked sides)
3. $\angle VQU \cong \angle SQT$ (vertical angles are congruent)

Step2: Match to congruence rule

We have two pairs of congruent angles and a non-included pair of congruent sides, which fits the AAS (Angle-Angle-Side) congruence rule.

Answer:

AAS