Question

How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing? Explain your reasoning.

Answer 1

See explanation

Explanation:

Let
`(x,y)` be the coordinates of the point which has to be dilated with the scale factor of
`k` with the center of dilation at point
`(0,0)` (the origin).

The dilation with the scale factor
`k` and the center of dilation at the origin has the rule

`(x,y)\rightarrow (kx,ky)`

So, you have simply to multiply each coordinate of the point by
`k` to get the image's coordinates.