A dilation of a figure is like a stretch or shrink, depending on the scale factor of a line.
X'(0, 0), Y'(4, 2), and Z'(4,0)
Practice makes perfect
We have been asked to find the coordinates of the points after a dilation with scale factor 2 with respect to the origin. This means that we are doubling each point's distance from the origin. Since X is on the origin, it will not move.
Therefore, we have points X'(0, 0), Y'(4, 2), and Z'(4,0).