Question

Is there a rigid transformation that would map ΔABC to ΔDEC​

Answer 1

Answer:

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​,

$\angle ABC=\angle DEC$                        (Given)

$\angle ACB=\angle DCE$                        (Given)

$AC=DC$                        (Given)

By AAS postulate of congruent triangle,

$\triangle ABC\cong \triangle DEC$

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.

Answer 2

Answer:

Yes. a rotation about point c

Step-by-step explanation:

just answered it.