Question

This line segment will be dilated with the point of dilation at (4,1) and scale factor of 2. What is the x-coordinate of one of the the end point of the dilated segment

Answer 1

8

Explanation:

If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)

Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))

New point = (8, 2)

Hence x-coordinate of one of the the end point of the dilated segment is 8