Question

What will be the y - coordinate of b' if ab is dilated by a factor of 2/5, centered at origin?

Answer 1

Actually, it is 4/5. When you multiply the coordinates of (10,2) by 2/5 (you do that since it is centered at the origin) you get 4/5 since you are finding the y-coordinate. (Trust me, I did the problem).

Answer 2

When the dilation of a line or is centered at the origin, both the x and y coordinates are multiplied by the same value, k (which represents the scale or ratio of dilation)

If ab is dilated by a factor of 2/5 to produce a’b’, then k = 2/5

Since the dilation is centered at origin,

The y-coordinate of b' what will be 2/5 of the y-coordinate of b.