Question

all side lengths of δjkl equal 2 units. a transformation maps δjkl to δjkl. 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:

Step1: Recall definition of rigid transformation

A rigid transformation preserves side - lengths and angle - measures.

Step2: Check side - length preservation

In $\triangle{JKL}$, side - lengths are 2 units. In $\triangle{J'K'L'}$, side $J'K'$ is 5 units. Since the side - length of $J'K'$ is not the same as the corresponding side in the pre - image, side - lengths are not preserved.

Answer:

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