Question

Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?

A) R'(8,2)
B) R'(1, 1/4)
C) R'(6,3)
D) R'(2,8)

Answer 1

Correct Answer: (8,2)

Explanation:

Dilation about the origin

Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.

In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).

The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)