Question

Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H', are shown on the coordinate plane below. If the center of dilation is at the origin, by what scale factor was octagon ABCDEFGH dilated?

Answer 1

To find the scale factor , we need to pick pu a point and its dilated point. Let's take H and H' . Coordinate of H is (2,6) and of H' is (1,3) . And as we see that the coordinate of H' is half of the coordinate of H, that is 1 is half of 2 and 3 is half of 6. So the dilation factor is 1/2 . We can say that the dilation factor represents by what factor a coordinate change to its dilated coordinate .