Question

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

Explanation:

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

ASA states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze the triangles

In \(\triangle GFE\) and \(\triangle VUW\):

• \(\angle G=\angle V\) (given as the double - arc angles)
• \(GF = VU\) (given as the single - mark sides)
• \(\angle F=\angle U\) (given as the single - arc angles)

Since we have two angles and the included side (\(GF\) in \(\triangle GFE\) and \(VU\) in \(\triangle VUW\)) equal, by ASA congruence.

Answer:

\(\triangle GFE\cong\triangle VUW\)