You are graphing rectangle ABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:
A = (3,5), B = (3,−4),, C = (−2,−4)C,
What are the coordinates of point D?
To find the coordinates of point D, we need to first determine the length and width of the rectangle. Since A and B have the same x-coordinate (3), the distance between them is the length of the rectangle. The length is |5 - (-4)| = 9.
Now, we know that A and D must have the same y-coordinate (5) since they are on the same horizontal line. To find the x-coordinate of D, we can use the width of the rectangle, which is the distance between B and C: |3 - (-2)| = 5.
Since D is 5 units to the left of A along the same horizontal line, the x-coordinate of D is 3 - 5 = -2. Therefore, the coordinates of point D are (-2, 5).