Question

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

Explanation:

Step1: Identify congruent parts

In $\triangle UVW$ and $\triangle QST$:

• $UW = QT$ (double hash marks)
• $VW = ST$ (single hash marks)
• $\angle U = \angle Q$ (marked angles, included between the sides)

Step2: Match to congruence rule

The SAS (Side-Angle-Side) rule states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. The identified parts fit this rule.

Answer:

SAS