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.
no, at least one segment length is not preserved, making this a nonrigid transformation.
yes, the vertices of the pre - image map to the vertices of the image.
yes, all of the side lengths of the pre - image are proportionate to the image.

Explanation:

A rigid transformation preserves side - lengths and angle measures. Here, the side - length of side $\overline{JK}$ changes from 2 units to 5 units, which means side - lengths are not preserved.

Answer:

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