Question

what single rigid transformation maps △abc → △edc?

Explanation:

Step1: Observe the triangles

We see that point \(C\) is common. Triangles \(\triangle ABC\) and \(\triangle EDC\) seem to be related by a rotation around point \(C\).

Step2: Determine the rotation angle

Since \(\angle ACB\) and \(\angle ECD\) are vertical - angles and equal, and the sides are arranged in a way that a rotation about point \(C\) would map one triangle to the other. The rotation is \(180^{\circ}\) around point \(C\).

Answer:

A \(180^{\circ}\) rotation about point \(C\)