onsider the points A and B graphed on the coordinate plane shown. What will be the coordinates of point D if it is located in Quadrant III and used to form square ABCD?
A graph is shown in the xy-plane. The values on the x-axis ranges from negative 8 to 8 in increments of 2 and the values on the y-axis ranges from negative 8 to 8 in increments of 2. Two points Upper A and Upper B are marked on the graph. The point Upper A is 3 units above the x-axis and 1 unit to the left of the y-axis. The point Upper B is 3 units above the x-axis and 4 units to the right of the y-axis.
A.
(−1,3)
B.
(−1,−2)
C.
(4,−2)
D.
(4,3)
To form a square, the length of each side will be the same. From point A to point B, there is a horizontal distance of 5 units and a vertical distance of 3 units. Therefore, the length of each side of the square will be 3 units.
Starting at point A, moving down 3 units and left 3 units will bring us to point D, which has coordinates (-1, 3).
Therefore, the answer is A. (−1,3)