Question

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 centered at the origin, we need to multiply each coordinate of the shape by 1/2.

For point A:
x-coordinate: 2 * 1/2 = 1
y-coordinate: 2 * 1/2 = 1
So the new coordinates for A are (1, 1).

For point B:
x-coordinate: 8 * 1/2 = 4
y-coordinate: 0 * 1/2 = 0
So the new coordinates for B are (4, 0).

For point C:
x-coordinate: 4 * 1/2 = 2
y-coordinate: -6 * 1/2 = -3
So the new coordinates for C are (2, -3).

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