Question

A polygon will be dilated on a coordinate grid to create a reduced polygon. The polygon is dilated using the origin as the center.

Which rule represents this dilation?

Answer 1

The rule that represents a dilation with the origin as the center is:

f(x, y) = (kx, ky)

In this rule, (x, y) represents the coordinates of a point in the original polygon, and (kx, ky) represents the coordinates of the corresponding point in the reduced polygon. The value "k" represents the scale factor by which the polygon is being dilated. If k is greater than 1, the polygon is enlarged; if k is between 0 and 1, it's reduced; and if k is negative, it's reflected across the origin.