Question

what additional information is needed to in order to prove △cde and △cdq congruent by asa? (1 point) o de ≅ dq o ∠e ≅ ∠q o ce ≅ cq o ∠dce ≅ ∠dcq

Explanation:

Step1: Recall ASA congruence criterion

ASA (Angle - Side - Angle) 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. In \(\triangle CDE\) and \(\triangle CDQ\), side \(CD\) is common (the included side). We already know one pair of angles at point \(D\) are equal.

Step2: Identify the missing angle

We need the other pair of angles that share side \(CD\) to be equal. That is, \(\angle DCE\) and \(\angle DCQ\) should be congruent.

Answer:

\(\angle DCE\cong\angle DCQ\)