Question

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

Explanation:

Step1: Recall rigid - motion concept

Rigid motions include translations, rotations, and reflections. Congruent triangles can be mapped onto each other using these motions.

Step2: Analyze the orientation and position

By observing the triangles, we can see that a translation can first move $\triangle DEF$ to a position close to $\triangle JKL$. Then, a rotation can be used to align the angles and sides properly.

Answer:

Yes. A translation and a rotation can map $\triangle DEF$ onto $\triangle JKL$.