Question

Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2). It’s dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of the resulting quadrilateral A’B’C’D

Answer 1

9514 1404 393

Answer:

• A'(-2, -4)
• B'(-2, 6)
• C'(8, 6)
• D'(8, -4)

Explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor.

A' = 2A = 2(-1, -2) = (-2, -4)

B' = 2B = 2(-1, 3) = (-2, 6)

C' = 2C = 2(4, 3) = (8, 6)

D' = 2D = 2(4, -2) = (8, -4)