Question

The figure below is dilated with the center of dilation at the origin and a scale factor of one half
2
1
​
. What are the coordinates of the image of point C after this transformation? The C point is (2, 6).

Answer 1

A dilation with center at the origin and scale factor 1/2 multiplies each coordinate by 1/2.
So C(2, 6) maps to (2·1/2, 6·1/2) = (1, 3).