Question

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

Explanation:

Step1: Recall ASA theorem

The ASA (Angle - Side - Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Identify congruent parts

In \(\triangle TUV\) and \(\triangle XYW\), we can see that \(\angle T\cong\angle X\), the included sides (the sides between the marked angles) are congruent, and \(\angle U\cong\angle Y\).

Answer:

\(\triangle TUV\cong\triangle XYW\)