Question

Triangle MNP is graphed on a coordinate grid with vertices at M(12, -6), N(3, 3) and P(-6,12). Triangle MNP is dilated by a scale factor of q with the origin as the center of dilation to create triangle M’N’P’. Which ordered pair represents the coordinates of the vertex P’?

A. (12 − q, -6 – q)

B. (-6q, 12q)

C. (3q, 3q)

D. (12q, -6q)

Answer 1

9514 1404 393

Answer:

B. (-6q, 12q)

Explanation:

The dilation factor (q) multiplies each of the coordinates:

(x, y) ⇒ (qx, qy)

P(-6, 12) ⇒ P'(-6q, 12q)