Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,

multiply the x-coordinate of T by 9/5 to get the x-coordinate of T′ and
multiply the y-coordinate of T by 9/5 to get the y-coordinate of T′.

What are the coordinates of point T′?

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

 A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of , you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

You get that the coordinates of the Image T' are the shown below:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative