Question

Is there a rigid transformation that would map triangle ABC totriangle DEC?

Answer 1

In this problem we have that

triangle DEC is congruent to triangle ABC by ASA congruence theorem

therefore

It is possible to map triangle ABC to triangle DEC with a rigid transformation, because are conguent figures

Example

with two reflections is possible

First reflection triangle ABC across the segment EB

Second reflection triangle A'B'C' across the segment DC

Another way

Rotation triangle ABC 180 degrees with center of rotation point C