Use this coordinate grid to help you answer the question below.

Kaycee draws PQRS on a coordinate grid. The coordinates of three of the vertices are , , and . If PQRS is a parallelogram, what are the coordinates of point S?

A.

B.

C.

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To find the coordinates of point S, we need to understand that a parallelogram has opposite sides that are equal in length and parallel to each other.

Given that the coordinates of points P, Q, and R are missing, we cannot directly determine the coordinates of point S. However, we can still solve the problem by using the fact that opposite sides of a parallelogram are parallel.

To find the missing coordinates, we need to utilize the parallel property of the sides. The opposite sides are parallel, so we can find the difference between the x-coordinates and the y-coordinates of the known points.

Let's suppose that the coordinates of point P are (x_p, y_p) and the coordinates of point Q are (x_q, y_q). Since opposite sides of a parallelogram are parallel, we can write two equations:

x_q - x_p = x_r - x_s (for the x-coordinates)
y_q - y_p = y_r - y_s (for the y-coordinates)

From the information given in the question, we can set up two linear equations:

x_r - x_s = x_q - x_p (Equation 1)
y_r - y_s = y_q - y_p (Equation 2)

Using these equations, we can solve for the missing coordinates of point S.

D.

Answer: C. (2, -2)

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