In order to prove the triangles pictured below congruent using ASA, what is the one piece of additional information that is needed?

Question

(1 point)
Responses

∠E≅∠Q
∠E≅∠Q

DE¯¯¯¯¯¯¯¯ ≅ DQ¯¯¯¯¯¯¯¯
DE¯¯¯¯¯¯¯¯ ≅ DQ¯¯¯¯¯¯¯¯

CE¯¯¯¯¯¯¯¯ ≅ CQ¯¯¯¯¯¯¯¯
CE¯¯¯¯¯¯¯¯ ≅ CQ¯¯¯¯¯¯¯¯

∠DCE≅∠DCQ
∠DCE≅∠DCQ
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Answer 1

To prove the two triangles congruent using the Angle-Side-Angle (ASA) congruence criterion, you need two angles and the side between them to be congruent in both triangles.

Given the choices, the one necessary piece of additional information would be:

∠DCE ≅ ∠DCQ

This is because proving that these angles are congruent gives you the second angle needed along with the shared side (DC) to establish the ASA congruence for the two triangles.