Question

A triangle is dilated with a center of dilation at the origin. Point P is on the figure and P' is the corresponding point on the image of the dilation. Point P is at (-2, 3) and P' is at (-8, 12). Which rule best represents the dilation? *

Answer 1

• (x, y) → (4x, 4y)

Explanation:

Dilation is applied by the rule:

• (x, y) → (kx, ky), where k is the scale factor

We have

• (x, y) = (-2, 3) and (kx, ky) = (-8, 12)

Substitute and solve for k

• -8 = -2k and 12 = 3k ⇒ k = 4

So the rule is

• (x, y) → (4x, 4y)