Use the image to answer the question.

Question

An illustration shows two plotted points: one in quadrant 2 and one in quadrant 4. A coordinate plane shows the x axis ranging from negative 2 to 6 and the y axis ranging from 6 to negative 4. A point upper Q is plotted at left parenthesis 4 comma negative 2 right parenthesis and a point upper S is plotted at left parenthesis negative 1 comma 3 right parenthesis.

Rectangle PQRS has vertices Q(4,−2) and S(−1,3) . What are the coordinates of vertices P and R ? Note, the vertex labels are located counterclockwise on the graph.

(1 point)

Answer 1

The coordinates for vertex P are:

P(x, y)

To find the x-coordinate of P, we can observe that vertex P is directly above vertex Q, so they have the same x-coordinate of 4.

Therefore, the coordinates for vertex P are P(4, y).

To find the y-coordinate of P, we observe that vertex P is directly to the right of vertex S, so they have the same y-coordinate of 3.

Thus, the coordinates for vertex P are P(4, 3).

The coordinates for vertex R are:

R(x, y)

To find the x-coordinate of R, we note that vertex R is directly below vertex S, so they have the same x-coordinate of -1.

Therefore, the coordinates for vertex R are R(-1, y).

To find the y-coordinate of R, we observe that vertex R is directly to the left of vertex Q, so they have the same y-coordinate of -2.

Thus, the coordinates for vertex R are R(-1, -2).

Therefore, the coordinates of vertices P and R are P(4, 3) and R(-1, -2).