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

Question

A(1,4) B(1,1) C(3,1) D(3,4)

Answer 1

To dilate a point by a scale factor of 2 centered at the origin, you multiply the coordinates of each point by 2.

A(1, 4) dilated by 2 is (1*2, 4*2) = (2, 8)
B(1, 1) dilated by 2 is (1*2, 1*2) = (2, 2)
C(3, 1) dilated by 2 is (3*2, 1*2) = (6, 2)
D(3, 4) dilated by 2 is (3*2, 4*2) = (6, 8)

So, the dilation of the shape centered at the origin with a scale factor of 2 is:

A'(2, 8)
B'(2, 2)
C'(6, 2)
D'(6, 8)