Question

Use the image to answer the question.

Two triangles have a common adjacent side and congruent angles.

What additional information is needed in order to prove triangles CDE and CDQ congruent by ASA?

(1 point)
Responses

∠E≅∠Q
angle upper E congruent to angle upper Q

DE¯¯¯¯¯¯¯¯≅DQ¯¯¯¯¯¯¯¯
Modifying above upper D upper E with bar congruent to Modifying above upper D upper Q with bar

CE¯¯¯¯¯¯¯¯≅CQ¯¯¯¯¯¯¯¯
Modifying above upper C upper E with bar congruent to Modifying above upper C upper Q with bar

∠DCE≅∠DCQ
angle upper D upper C upper E congruent to angle upper D upper C upper Q
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Answer 1

To prove triangles CDE and CDQ congruent by the Angle-Side-Angle (ASA) postulate, we need two angles and the included side to be congruent. The triangles already have one common side (CD) and the shared angle (∠D).

Therefore, we need information about one additional angle. The response that provides this additional information is:

**∠E≅∠Q**

This indicates that angle E is congruent to angle Q, which completes the ASA criteria needed to prove the congruence of triangles CDE and CDQ.