Find the dilation of 2 for the given shape centered at the origin

Points:
Point A (1,4) point D (3,4) point B (1,1) point C (3,1)

To find the dilation of 2 for the given shape centered at the origin, we need to multiply the coordinates of each point by 2.

Point A: (1,4) -> (2*1, 2*4) = (2,8)
Point D: (3,4) -> (2*3, 2*4) = (6,8)
Point B: (1,1) -> (2*1, 2*1) = (2,2)
Point C: (3,1) -> (2*3, 2*1) = (6,2)

So, the dilated shape centered at the origin is:
Point A' (2,8), Point D' (6,8), Point B' (2,2), Point C' (6,2)