Question

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

Explanation:

Step1: Recall ASA theorem

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, the two triangles are congruent.

Step2: Identify congruent parts

In \(\triangle DEC\) and \(\triangle TUV\), we can see that \(\angle C\cong\angle V\), \(EC\cong TV\) (marked with single - cross), and \(\angle E\cong\angle T\) (marked with double - arcs).

Answer:

\(\triangle DEC\cong\triangle TUV\)