Question

Solve problems about dilations and write about solution methods.
On a coordinate plane, point B is at (1, negative 1).

Point B has coordinate B(1, –1).

What is the coordinate of B' under a scale factor of 3?
(1, –1)
(3, –3)
(–2, 2)
(–6, 6)

Answer 1

B' = (3, −3).

Reason: A dilation with scale factor 3 centered at the origin multiplies both coordinates by 3. So (1, −1) → (3×1, 3×(−1)) = (3, −3).