Question

What are the coordinates of the image rectangle for a scale factor of 3 if the center of dilation is the origin?

Answer 1

Answer: Choice B)

Explanation:

You mentioned there isn't a diagram to go with this, but I'm assuming that this problem is referring to a previous problem you posted. In that problem, it mentions that point W is at (1,-2). If we apply the scale factor 3, then we're tripling each coordinate. That means x = 1 becomes x = 3, and y = -2 becomes y = -6

We can write it like this:

(1,-2) ---> 3*(1, -2) = (3*1, 3*(-2) ) = (3, -6)

Only choice B has W'(3,-6) so this is likely the final answer.

If we apply this dilation to every point, then that effectively makes quadrilateral W'X'Y'Z' to be three times longer and taller than compared to quadrilateral WXYZ. In other words, its side lengths are 3 times longer.