Question

How can you determine the coordinates of any image that is dilated with the center of dilation at the origin without graphing

Answer 1

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

Explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation. The scale factor refers to the change in size. The center of dilation is a point about which we are dilating an object.

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

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

This means that the image of the point with coordinates (x,y) after the dilation by a scale factor of k with center of dilation at origin will have coordinates (kx,ky).