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Question

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

(1 point)
Responses be honest

∠E≅∠Q
∠E≅∠Q

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

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

∠DCE≅∠DCQ
∠DCE≅∠DCQ
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Answer 1

To prove two triangles congruent using the Angle-Side-Angle (ASA) postulate, you will need two angles and the included side (the side between the two angles) to be congruent.

In the options provided, the most relevant additional information needed to establish the congruence of the triangles using ASA is:

∠DCE≅∠DCQ

This is because it provides the third angle needed to verify that both triangles share two angles and the included side, leading to congruence under the ASA criterion.