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∠DCE≅∠DCQ angle upper D upper C upper E congruent to angle upper D upper C upper Q∠E≅∠Q angle upper E congruent to angle upper QCE¯¯¯¯¯¯¯¯≅CQ¯¯¯¯¯¯¯¯Modifying above upper C upper E with bar congruent to Modifying above upper C upper Q with barDE¯¯¯¯¯¯¯¯≅DQ¯¯¯¯¯¯¯¯

Answer 1

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

1. Angle DCE ≅ Angle DCQ: This would provide the second pair of congruent angles needed for the ASA criterion.
2. Side CE ≅ Side CQ: This would give the necessary congruent side in addition to the two pairs of congruent angles.

Any of these options would satisfy the requirements for proving the triangles congruent by the ASA postulate.