Question

Identify the image of the triangle with vertices I (-1, -3), J (1, 2,), and K (-2, 3), under a dilation with a scale factor of -4 centered at the origin.

Answer 1

Triangle

I (-1,-3)

J (1,2)

K (-2,3)

Factor k = -4

To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping. For any dilation the mapping will be (x,y) -> (kx,ky)

I' = (-1*-4, -3*-4)

I' = (4, 12)

J' = (1*-4, 2*-4)

J' = (-4, -8)

K' = (-2*-4, 3*-4)

K' = (8, -12)

Plotting