Q:

Given the following triangles, what additional information is required in order to know that the triangles are congruent because of the ASA congruence criteria?

Accepted Solution

A:
Answer: < DCQ ≅ <DCE.
Step-by-step explanation: We are given a composite figure of two triangles CDE and CDQ.In the shown composite figure we can see:<CDQ ≅ < CDE   : Given CD are common sides of both triangles Therefore, by reflexive property CD = CD We need to apply ASA congruence criteria.That is Angle Side Angle congruence criteria.We already got One angle is congruent and one side on both triangles.We just need one-one more angles in both triangles those would be congruent.Therefore, We could choose < DCQ ≅ <DCE.