Question

analyzing a description of a transformation
all side lengths of △jkl equal 2 units. a transformation maps △jkl to △jkl. the length of side jk is 5 units. is this a rigid transformation?
no, there is no one - to - one mapping of all the points of the pre - image to the image.
yes, all of the side lengths of the pre - image are proportionate to the image.
yes, the vertices of the pre - image map to the vertices of the image.
no, at least one segment length is not preserved, making this a nonrigid transformation.

Explanation:

Step1: Recall rigid - transformation property

In a rigid transformation, the lengths of the sides of the pre - image and the image are equal.

Step2: Compare side lengths

The side lengths of $\triangle{JKL}$ are 2 units each, and the length of side $\overline{J'K'}$ in $\triangle{J'K'L'}$ is 5 units. Since $2
eq5$, at least one segment length is not preserved.

Answer:

D. No, at least one segment length is not preserved, making this a nonrigid transformation.