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,
[tex]\angle ABC=\angle DEC[/tex] (Given)
[tex]\angle ACB=\angle DCE[/tex] (Given)
[tex]AC=DC[/tex] (Given)
By AAS postulate of congruent triangle,
[tex]\triangle ABC\cong \triangle DEC[/tex]
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.
