Question

what are the coordinates of E' after a dilation of 1/4 about the origin?
the coordinates for E is (-2,-2).​

Answer 1

Answer:

$(\frac{-1}{2},\frac{-1}{2})$

Step-by-step explanation:

The pre-image is E (-2,-2) and the image is found by multiplying the coordinates by 1/4 since there has been a dilation of 1/4 about the origin.

The image, E', is:

$(\frac{1}{4} \cdot -2,\frac{1}{4} \cdot -2)$

$(\frac{-2}{4},\frac{-2}{4})$

$(\frac{-1}{2},\frac{-1}{2})$

In general if you have a dilation of k about the origin the point goes from (x,y) to (kx,ky).