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 angles and sides

For \(\triangle VUW\) and \(\triangle EDF\):

• In \(\triangle VUW\), we have two angles (\(\angle V\) and \(\angle W\)) and a non - included side (the side marked with one tick).
• In \(\triangle EDF\), we have two angles (\(\angle E\) and \(\angle D\)) and a non - included side (the side marked with one tick).

The two angles and the non - included side of \(\triangle VUW\) are congruent to the two angles and the non - included side of \(\triangle EDF\)

Answer:

\(\triangle VUW\cong\triangle EDF\)