State the rule. Is this a rigid motion? How?

Question

ABC maps to triangle A´B´C´

Preimage Image image

( -4, 3) (4, 3)

( -3, -3) (3, -3)

(1, 2) ( -1, 2)

Answer 1

A rigid transformation (reflection, rotation, or translation) changes the location but not the size/shape of the object.

I recommend you plot the initial and transformed points/shape on graph paper, and then you can see by inspection whether the transformation is rigid or not.

In this case, you can also look at the points and see that the transformation is a reflection about the y axis (because y coordinate is unchanged, but x coordinate changes sign), which is a rigid transformation.

Answer 2

If you plot the points of the pre image and the image on a graph paper you’ll be able to figure this out.

rigid transformations - the size and shape of the image is the same as that of the pre image.

hope this helps