Question

What are the coordinates of the image of point B, after the segment has been dilated by a scale factor of 3 with a center of dilation at the origin?

On a coordinate plane, line segment A B has points (negative 6, 8) and (negative 3, 3).
(–9, 9)
(9, –9)
(–1, 1)
(1, –1)

Answer 1

A(-6, 8) and B(-3, 3). Dilating by factor 3 from the origin multiplies each coordinate by 3, so B' = (3·(−3), 3·3) = (−9, 9).