Question

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

Explanation:

Step1: Recall ASA (Angle - Side - Angle) Congruence Theorem

ASA 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: Analyze the triangles

For \(\triangle ZXY\) and \(\triangle HIG\):

• In \(\triangle ZXY\), we have two angles (marked with one arc and two arcs) and the included side (marked with two short lines).
• In \(\triangle HIG\), we have two angles (marked with one arc and two arcs) and the included side (marked with two short lines).

Answer:

\(\triangle ZXY\cong\triangle HIG\)