Question

Triangle MNP will be dilated according to the rule
(x,y), where point P is the center of dilation.

On a coordinate plane, triangle M N P has points (negative 1, negative 2), (0, 2), and (2, negative 2).

What will be the coordinates of vertex N' of the image?

(-2, 4)
(-2, 6)
(-4, 4)
(-4, 8)

Answer 1

P = (2, -2). Vector PN = N - P = (0-2, 2-(-2)) = (-2, 4). A dilation with scale factor 2 gives PN' = 2·(-2,4) = (-4,8). So N' = P + PN' = (2-4, -2+8) = (-2, 6).

Answer: (-2, 6)