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2 years ago

6

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? *

1 answer:

WINSTONCH [101]2 years ago

3 0

Answer:

(x, y) → (4x, 4y)

Step-by-step explanation:

<u>Dilation is applied by the rule:</u>

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

<u>We have</u>

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

<u>Substitute and solve for k</u>

-8 = -2k and 12 = 3k ⇒ k = 4

<u>So the rule is</u>

(x, y) → (4x, 4y)

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