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

Answer:

See explanation

Step-by-step 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.