if BC is congruent to DC and AC is congruent to EC, how do you prove triangle ABC is congruent to EDC using CPCTC?

Question

The picture shows to triangles being Angle, Side, Angle. and C being where both of the triangles meet. 

Answer 1

This is difficult to answer without a picture - but by your description, I am going to assume that the triangles form a "bowtie" shape, where point C is the center of the two.

 

By this assumption, you will have congruence based on Side Angle Side (not Angle Side Angle) - you have the two pairs of congruent sides given, then the angle formed at point C (<ACB and <ECD) are vertical angles, making them congruent as well. 

 

Hopefully I assumed the shape correctly, but would need more information to be sure.