Question

the figure below is dilated with the center of dilation at the origin aNd a scale factor of 1/4 . what are the coordinates of the image of point Y after this transformation

Answer 1

The coordinate of point Y is: (x,y)= (8,-8). We can describe a dilation with respect fo the origin with the notation:

$(x,y)\longrightarrow(kx.ky)$

where k is the scale factor. In our case, k=1/4.

Then, by applying this rule to our point Y, we have

$\mleft(8,-8\mright)\longrightarrow(\frac{1}{4}\cdot8,\frac{1}{4}\cdot(-8))$

Therefore, the image of point Y after the dilation is:

$(2,-2)$