Question

On a coordinate plane, triangle A B C has points (negative 1, 2), (negative 1, negative 1), (2, negative 1).
Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image?

(–6, 3)
(–3, 6)
(3, –6)
(6, –3)

Answer 1

C is (2, -1). A dilation centered at the origin with scale factor 3 multiplies each coordinate by 3, so C' = (3·2, 3·(-1)) = (6, -3).