Given the image below, what is the image of C after a dilation with a scale factor of 3 about a center (2,1)? Show all work and explain your reasoning. PLEASE HELP

Question

asked Feb 26, 2021 163k views

1 Answer

Elist · Answer 1 · 2021-03-03T06:18:18+0000

Answer: The coordinates of point C after the dilation are (-2, 5)

Explanation:

I guess that you want to find where the point C ends after the dilation.

Ok, if we have a point (x, y) and we do a dilation with a scale A around the point (a,b), then the dilated point will be:

(a + A*(x - a), b + A*(y - b))

In this case we have:

(a,b) = (2,1) and A = 3.

And the coordinates of point C, before being dilated, are: (1, 2)

Then the new location of the point C will be:

C' = (1 + 3*(1 - 2), 2 + 3*(2 - 1)) = (1 -3, 2 + 3) = (-2, 5)