Question

the triangles are congruent by the sss congruence theorem. which rigid transformation(s) can map △abc onto △dec? reflection, then rotation reflection, then translation rotation, then translation rotation, then dilation

Explanation:

Step1: Recall rigid - transformation properties

Rigid transformations are reflection, rotation and translation. Dilation is not a rigid - transformation as it changes the size of the figure.

Step2: Analyze the orientation and position

First, a rotation can be used to align the general orientation of \(\triangle ABC\) with \(\triangle DEC\). Then, a translation can be used to move \(\triangle ABC\) to the exact position of \(\triangle DEC\). Reflection is not necessary as the orientation can be achieved by rotation.

Answer:

rotation, then translation