Introduction to Transformations

Question 109157 • CA-Common Core Geometry DVHS Sem. 1

All side lengths of ΔJKL equal 2 units. A transformation maps ΔJKL to ΔJ'K'L'. The length of side J'K' is 5 units. Is this a rigid transformation?

Answer

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 distances, so corresponding side lengths must stay the same. Side JK is 2 units, but its image J'K' is 5 units, so that segment’s length was not preserved. Therefore, this is not a rigid transformation; choice B gives the correct reason.

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