Question

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

(1 point)
Responses

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

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

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

CE¯¯¯¯¯¯¯¯≅CQ¯¯¯¯¯¯¯¯

Answer 1

To prove triangles CDE and CDQ congruent by the Angle-Side-Angle (ASA) postulate, you would need the following additional information:

**∠DCE ≅ ∠DCQ**
This means that if you can establish that the angles DCE and DCQ are congruent, paired with the side CD that is shared between both triangles, you will be able to prove that triangles CDE and CDQ are congruent by the ASA postulate.

The response indicating that **∠DCE ≅ ∠DCQ** is the correct choice.