Question

is △abc congruent to △ade? justify your answer using rigid motions. yes. a translation can map △abc onto △ade. yes. a rotation can map △abc onto △ade. no. it is not possible to map △abc onto △ade using only rigid motions.

Explanation:

Step1: Observe the orientation of triangles

The orientation of $\triangle ABC$ and $\triangle ADE$ is different. A translation just moves a figure without changing its orientation. Since the orientation is different, a translation alone cannot map $\triangle ABC$ onto $\triangle ADE$.

Step2: Analyze rotation possibility

We can see that the two triangles are positioned in such a way that a rotation about point $A$ can map $\triangle ABC$ onto $\triangle ADE$. The angles and side - lengths seem to match for a rotation to work as a rigid motion.

Answer:

Yes. A rotation can map $\triangle ABC$ onto $\triangle ADE$.