Answer:
dilation is by a factor of 2 about the origin
Explanation:
You want the dilation factor that gets from parallelogram ABCD to A'B'C'D'.
Dilation factor
When dilation is about the origin, every coordinate is multiplied by the dilation factor. For example, A(-3, 3) goes to A'(-6, 6) by having its coordinates multiplied by -6/-3 = 2.
The dilation factor is 2.
__
Additional comment
You can also see this by the fact that segment C'D' is on the line y=-2, whereas segment CD is on the line y = -1. That may be the easiest way to tell the dilation factor is 2/1 = 2.
The figure doesn't really lend itself to reading the coordinate values of points at some distance from the origin.
One possible rule is (x, y) ⇒ (2x, 2y). Another might be D(origin, 2). The specifics depend on the format your curriculum author prefers.
#95141404393