Question

Find the dilation 1/2 of the given shape centered at the origin.

A 2,2 B 8,0 C4,-6

Answer 1

To find the dilation of a shape, you need to multiply the coordinates of each point by the dilation factor. In this case, the dilation factor is 1/2.

For point A (2,2):
x-coordinate: 2 * 1/2 = 1
y-coordinate: 2 * 1/2 = 1
The dilation of point A is (1,1).

For point B (8,0):
x-coordinate: 8 * 1/2 = 4
y-coordinate: 0 * 1/2 = 0
The dilation of point B is (4,0).

For point C (4,-6):
x-coordinate: 4 * 1/2 = 2
y-coordinate: -6 * 1/2 = -3
The dilation of point C is (2,-3).

Therefore, the dilation of the given shape centered at the origin with a dilation factor of 1/2 is:
A': (1,1)
B': (4,0)
C': (2,-3)