Question

Quadrilateral ABCD was dilated with the origin as the center of dilation to create A'B'C'D'. Which rule best represents the dilation that was applied to Quadrilateral ABCD to create A'B'C'D'?

A. (x, y) → (13x, 13y)
B. (x, y) → (23x, 23y)
C. (x, y) → (x - 3, y + 2)
D. (x, y) → (1.5x, 1.5y)

Answer 1

The rule that represents the dilation applied to Quadrilateral ABCD to create A'B'C'D' is (D) (x, y) → (1.5x, 1.5y).

Step-by-step explanation:

The rule that represents the dilation applied to Quadrilateral ABCD to create A'B'C'D' is (D) (x, y) → (1.5x, 1.5y).

When a figure is dilated with the origin as the center of dilation, the coordinates of the figure are multiplied by the scale factor. In this case, each coordinate of ABCD was multiplied by 1.5 to obtain A'B'C'D'.

For example, the coordinates of point A (x, y) became (1.5x, 1.5y) in A', and the coordinates of point B (x, y) became (1.5x, 1.5y) in B'.