A dilation has (0,0).Find the image of the point A(-2,2) for scale factor 2.5

Question

A dilation has (0,0).Find the image of the point A(-2,2) for scale factor 2.5

Answer 1

Assuming the dilation is centered at (0, 0) the new point is (-5, 5).

Answer 2

What does this mean?

"A dilation has (0,0)"

I assume that a dilation is usually specified with a reference point that remains fixed. (call it an "anchor point")

I assume that a dilation of 2.5X means that the distance of any point from the reference is multiplied by 2.5.

Answer 3

When the center of dilation is the origin, just multiply the coordinates of A by the scale factor k:

A' = kA = (-2·2.5, 2·2.5) = (?, ?)

Answer 4

Hello again Noel-Lisa!

Because the center is (0,0) we can just multiply the coordinates by the scale factor.

So we get:(-5,5) as the image