Question

The parallelogram J'K'L'M' is a dilation of the parallelogram JKLM. What is the scale factor of the dilation?

Answer 1

Explanation:

to dilate a shape by a scale factor, we multiply both the x-coordinate and the y-coordinate of each point by the scale factor.

so, to find the applied scale factor we need to inverse the process and divide either the x- or y-coordinate of a point of the dilated shape by the same coordinate of the corresponding point of the original shape.

so, e.g.

x of M' = -10, x of M = -2

-10/-2 = 5

or

y of L' = -10, y of L = -2

scale factor is again 5.

or

x of J' = 5, x of J = 1

5/1 = 5

so, you see, the scale factor is 5.