Question

which rule explains why these triangles are congruent? a5a sss sas aas these triangles cannot be proven congruent.

Explanation:

Step1: Identify congruent parts

We see that $UV = UX$ (marked with one - dash), $VW=XW$ (marked with two - dashes), and $UW$ is common to both $\triangle UVW$ and $\triangle UXW$.

Step2: Recall congruence rules

The Side - Side - Side (SSS) congruence rule states that if three sides of one triangle are equal to three corresponding sides of another triangle, then the two triangles are congruent. Here, we have three pairs of equal sides.

Answer:

SSS