The rectangle is dilated by a scale factor of 1.5 with the origin as the center of dilation.

A(-2,4) B(4,4) C(-2,2) D(4,2)

What is A'B'C'D'?

1 answer

First, we need to calculate the coordinates of the new points A', B', C', and D' after the dilation.

To dilate a point (x, y) by a scale factor of 1.5 with the origin as the center of dilation, we can simply multiply the coordinates by 1.5.

Point A' = (-2*1.5, 4*1.5) = (-3, 6)
Point B' = (4*1.5, 4*1.5) = (6, 6)
Point C' = (-2*1.5, 2*1.5) = (-3, 3)
Point D' = (4*1.5, 2*1.5) = (6, 3)

So, the coordinates of the dilated rectangle A'B'C'D' are:
A'(-3, 6) B'(6, 6) C'(-3, 3) D'(6, 3)