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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?

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.

1 Answer

6 votes

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

Step-by-step explanation: A rigid transformation implies that both the shape and size are not changed. The second answer is right because the length of segment JK (2 units) is not preserved when mapped onto J'K' (5 units).

User Vovkas
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