What are the coordinates of the vertices of D(3, A) (△ABC) for A(0, 4), B(–2, 5), and C(3, 7)?

Question

A.)A′(0, 12), B′(−6, 15), C′(9, 21)

B.)A′(0, 15), B′(−6, 18), C′(9, 24)

C.)A′(0, 9), B′(−6, 12), C′(9, 18)

D.)A′(0, 4), B′(−6, 7), C′(9, 13)

Answer 1

If I am reading the question properly. D(3,A) is the dilation of the triangle by a factor of 3 where the the center of dilation is the point A from the triangle.

The answer is simply D,

because if point A of the triangle is the center of dilation, it does not change. You can check your work by plotting the points and noting that the dilated points given are colinear with respect to the original triangle (the area of the triangle is also 3 times bigger).