Question

The vertices of quadrilateral ABCD are (-1, 2), (2, 1), (2, -3), and (-2, -1). Quadrilateral WXYZ will be a dilation of quadrilateral ABCD with a scale factor of 2. At what coordinates should point Y, of quadrilateral WXYZ, be plotted?

a) (4, -5)
b) (4, -6)
c) (4, -3)
d) (4, -4)

Answer 1

To find the coordinates of point Y in quadrilateral WXYZ after a dilation with a scale factor of 2, multiply the x-coordinate and y-coordinate of point Y in ABCD by 2. The coordinates of point Y in ABCD are (2, -3), so the coordinates of point Y in quadrilateral WXYZ should be (4, -6).

Step-by-step explanation:

To find the coordinates of point Y in quadrilateral WXYZ after a dilation with a scale factor of 2, we need to multiply the x-coordinate and y-coordinate of point Y in ABCD by 2.

The coordinates of point Y in ABCD are (2, -3). Multiplying the x-coordinate by 2 gives 2 * 2 = 4. Multiplying the y-coordinate by 2 gives -3 * 2 = -6.

Therefore, the coordinates of point Y in quadrilateral WXYZ should be (4, -6).