Question

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

Explanation:

Step1: Recall rigid - motion definition

Rigid motions include translations, rotations, and reflections. They preserve side - lengths and angles.

Step2: Compare side - lengths

Side lengths of $\triangle KLM$ are all 3 m and side lengths of $\triangle NOP$ are all 6 m. The side - lengths are not equal. Since rigid motions preserve side - lengths, we cannot map $\triangle KLM$ onto $\triangle NOP$ using only rigid motions.

Answer:

No. It is not possible to map $\triangle KLM$ onto $\triangle NOP$ using only rigid motions.