If q(-3,4), r(-2,-1),t(3,1),w(3,5) is a quadrilateral and q'(-27,36) is the image of q under a dilation centered at the origin, find w'

W'(27,45)

Step-by-step explanation:

First we must fnd the scale factor of the dilation and then multiply the coordinates of W(3,5) by the scale factor.

Let k be the scale factor of the dilation centered at the origin.

The mapping for a dilation by a scale factor k is

But we were given the coordinates of the image, which is

Q'(-27,36)

Comparing coordinates:

We could compare the first coordinates too and get the same result.

The image of W(3,5) is given by:

addition

step-by-step explanation: