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: Analyze the triangles

In \(\triangle ABC\) and \(\triangle EFD\):

• One pair of angles (the single - arc angles) are congruent.
• Another pair of angles (the double - arc angles) are congruent.
• The marked sides (non - included sides) are congruent.

Answer:

\(\triangle ABC\cong\triangle EFD\)