You are graphing rectangle ABCD in the coordinate plane. The following are three vertices of the rectangle: A(-7, -7.5), B(-3, -7.5), and C(-3, 2.5). What are the coordinates of point D?

Mathematics · Middle School · Thu Feb 04 2021

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To find the coordinates of point D for rectangle ABCD, we need to understand that a rectangle's opposite sides are equal and parallel. Given the coordinates of A(-7, -7.5), B(-3, -7.5), and C(-3, 2.5), we can determine that points A and B lie on the same horizontal line, since they share the same y-coordinate (-7.5). Similarly, B and C share the same x-coordinate (-3), which means they are vertically aligned.

Knowing this, we can figure out that point D will be vertically aligned with point A and horizontally aligned with point C because D is the last corner of the rectangle. Since D and A are vertically aligned, they will share the same x-coordinate (-7). And since D and C are horizontally aligned, they will share the same y-coordinate (2.5).

Therefore, the coordinates of point D will be (x, y) where x is -7 and y is 2.5. This makes the coordinates of point D (-7, 2.5).