a dilation has center (0, 0).Find the image of the point L (-5,0) for a scale factor 4

Question

a dilation has center (0, 0).Find the image of the point L (-5,0) for a scale factor 4 .

Answer 1

Hello Noel-Lisa

The distance to the point L to the center is 5.

Therefore the distance of the image to the center, must be 5*4 = 20. Because 4 is the scale factor.

Therefore the image must be on the point (-20,0).

I could just multiply the coordinates of L by 4, to get to this result, but this is just valid because the center is the origin (0,0)