(x ,y ) → (2x,1/2y)

Question

Find the image of the points A(0, 0), B(4, 0), C(4, 4), and D(0, 4) under this transformation.

The points in #15 define a square in the xy-coordinate plane. Do the images of these points also define a square? Explain. Is this transformation a rigid motion?

Explain.

Answer 1

A(0,0) = A'(0,0)

B(4,0) = B'(8,0)

C(4,4) = C'(8,2)

D(0,4) = D'(0,2)

The image of these points define a rectangle.

It is not a rigid motion as it changes the shape from a square to a rectangle. Rigid motion only changes location or direction a shape is facing.