Question

d. (-5, 3)
dilating a shape from the origin by a factor of 0.5 will result in what change?
a. the shape’s size will double.
b. the shape’s position will change.
c. the shape’s size will be halved.
d. the shape’s orientation will change.

Explanation:

Dilation from the origin by a factor of 0.5 (a scale factor less than 1) means each coordinate of the shape's vertices is multiplied by 0.5. This scales the shape down, so its size is halved. Option a is wrong (doubling would be a factor of 2), option b is wrong as dilation from the origin doesn't change position relative to the origin in a way that's a "position change" in the sense of moving, and option d is wrong as dilation doesn't change orientation.

Answer:

c. The shape’s size will be halved.