Question

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

Explanation:

Step1: Recall ASA (Angle - Side - Angle) 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 triangles are congruent.

Step2: Identify the triangles

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

• In \(\triangle CED\), we have two angles (\(\angle E\) and \(\angle C\)) and the included side (the side between \(\angle E\) and \(\angle C\))
• In \(\triangle VUW\), we have two angles (\(\angle U\) and \(\angle V\)) and the included side (the side between \(\angle U\) and \(\angle V\))

Looking at the markings:
The side with one mark is between the two - angled marked (the double - arc angle and the single - arc angle) in both \(\triangle CED\) and \(\triangle VUW\)

Answer:

\(\triangle CED\cong\triangle VUW\)