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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

∠DCE≅∠DCQ
∠DCE≅∠DCQ

∠E≅∠Q
∠E≅∠Q

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

DE¯¯¯¯¯¯¯¯ ≅ DQ¯¯¯¯¯¯¯¯

Answer 1

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

From the options you've provided, the relevant choice would typically be the side that connects the two given angles. However, the missing information that ensures the congruence by ASA would be that the included sides are equal.

Thus, the correct additional information needed would be:

\( DE \cong DQ \)

This statement provides the requisite side (the side between the two angles in question) to establish the ASA congruence between the two triangles.