Question

A polygon will be dilated on a coordinate grid to create a larger polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?

A (x,y) - (0.8 - x,0.8 - y)
B (x,y) - (x - 3, y - 3)
C (X.Y) - 3
D (x,y) (0.4x, 0.4y)

Answer 1

The correct rule for the dilation transformation on a coordinate grid with the origin as the dilation center is (x,y) to (0.4x, 0.4y), representing a reduction of the polygon size by a factor of 0.4.

Step-by-step explanation:

The student is asking about a dilation transformation in a coordinate grid using the origin as the center of dilation. The correct transformation rule for a dilation is to multiply each coordinate by the scale factor of the dilation.

Among the options provided, the rule that correctly represents a dilation transformation is (x,y) → (0.4x, 0.4y), where 0.4 is the scale factor and it makes the polygon smaller because the scale factor is less than 1.