Question

The figure below is dilated with the center of dilation at the origin and a scale factor of 1/3. What are the coordinates of the image of point B after this transformation? -9 and -6.

Answer 1

If the original point B is (-9, -6), dilating from the origin by factor 1/3 multiplies each coordinate by 1/3:

x': -9 × 1/3 = -3
y': -6 × 1/3 = -2

So the image is (-3, -2).