Is there a rigid transformation that would map δabc to δdec

Both ΔABC and ΔDEC are congruent, therefore there a rigid transformation that would map ΔABC to ΔDEC.

Step-by-step explanation:

In rigid transformation the size and shape of the figure remain s the same if the original figure and transformed figure are congruent.

In ΔABC and ΔDEC,

                       (Given)

                       (Given)

                       (Given)

By AAS postulate of congruent triangle,

Since both ΔABC and ΔDEC are congruent, therefore there a rigid transformation that would map ΔABC to ΔDEC.

The diagram shows the 180 degree rotation about the point C and the rotation is a rigid transformation.