Find the dilation of 1/2 for the given shape centered at the origin. A= (2,2) B= (8,0) C= (4,-6)

Answer 1

To find the dilation of 1/2 for the given shape centered at the origin, we multiply the coordinates of each vertex by the dilation factor.

For point A (2, 2):
x-coordinate: 2 * 1/2 = 1
y-coordinate: 2 * 1/2 = 1
New coordinates for A: (1, 1)

For point B (8, 0):
x-coordinate: 8 * 1/2 = 4
y-coordinate: 0 * 1/2 = 0
New coordinates for B: (4, 0)

For point C (4, -6):
x-coordinate: 4 * 1/2 = 2
y-coordinate: -6 * 1/2 = -3
New coordinates for C: (2, -3)

The new shape after dilation of 1/2 centered at the origin is:
A' = (1, 1), B' = (4, 0), C' = (2, -3)