Question

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

Explanation:

Step1: Recall AAS theorem

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

Step2: Identify congruent parts

In \(\triangle ECD\) and \(\triangle QRP\), we can see that \(\angle E\cong\angle Q\) (single - arc angles), \(\angle D\cong\angle R\) (double - arc angles), and the non - included sides \(CD\cong RP\) (single - dash sides).

Answer:

\(\triangle ECD\cong\triangle QRP\)