Question

Triangle MNP is graphed on a coordinate grid with vertices at M (−3, −6), N (0, 3) and P (6, −3). Triangle MNP is dilated by a scale factor of u 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) (6 + u, −3 + u) B) ( 6 u , − 3 u ) C) (6 + 1 u , −3 + 1 u ) D) (6u, −3u)

Answer 1

Answer: Choice D) (6u, -3u)

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Explanation:

The letter u represents the scale factor. It is some unknown number.

To form the dilation, we multiply this number u by each coordinate of point P (6, -3)

The x coordinate of P is x = 6. It turns into x*u = 6*u which is the x coordinate of P '

Similarly, y = -3 for point P so y*u = -3*u is the y coordinate of point P '

Therefore, we go from P(6, -3) to P ' (6u, -3u)