Question

The coordinates of rectangle ABCD are A(2,2) B(2,5) C(6,5) D(6,2). Using rectangle ABCD, find the coordinates of the rectangle that results when the center of dilation is the origin and ABCD is dilated by a scale factor of 3.

Answer 1

A'(6,6), B'(6,15), C'(18,15), D'(18,6)

Explanation:

When dilation is about the origin, every coordinate value is multiplied by the dilation factor. Here that factor is 3, so (2, 2) ⇒ 3·(2, 2) = (6, 6) and so on.