Question

Please answer quickly I need to get this done soon. This is worth 50 points!

Draw the image of ▲RST under the dilation with scale factor 5/3 and center of dilation (2,-2) . Label the image ▲R’S’T’.

Answer 1

Please find the attachment for the coordinates of ▲RST under the dilation with scale factor 5/3.

We are asked to dilate triangle RST under the dilation with scale factor 5/3.

We can see that S is our center of dilation. Lengths of line segment RS and ST is 3 units each. By dilating by factor of 5/3 their lengths will be $3*\frac{5}{3} =5$ units.

The co-ordinates of points R' and T' will change but S' will be on the same coordinates that is (2,-2) as it is the center of dilation.

Coordinates of R' will be (2,3) and coordinates of T' will be (-3,-2).

Therefore, coordinates of our triangle R'S'T' will be (2,3), (2,-2) and (-3,-2) respectively.