which two triangles are congruent by the sas theorem? complete the congruence statement.

Explanation:

Step1: Identify equal - side and equal - angle pairs

In $\triangle TUV$ and $\triangle XYZ$, we can see that:

• $\angle V=\angle X$ (marked by the red arcs)
• $UV = XZ$ (marked by two red slashes)
• $TV=XY$ (marked by one red slash)

Step2: Apply SAS Theorem

The Side - Angle - Side (SAS) theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent. Since in $\triangle TUV$ and $\triangle XYZ$, we have two sides and the included angle congruent, $\triangle TUV\cong\triangle XYZ$ by the SAS theorem.

Answer:

$\triangle TUV\cong\triangle XYZ$