A rectangle is plotted in the coordinate plane. The vertices (corners) of the rectangle are given as A(–2,3), B(4,3); C(–2, –2) and D(x,y). What is the ordered pair for point D?
To find the coordinates of point D in the rectangle, we need to understand some properties of rectangles. A rectangle is a quadrilateral with four right angles, meaning that opposite sides are parallel and equal in length.
Given that points A, B, and C are already provided, we can use this information to find the coordinates of point D.
Step 1: Recall that point D is opposite point B. Since opposite sides are parallel in a rectangle, we can use this property to find the x-coordinate of point D. The x-coordinate of point D will be the same as the x-coordinate of point C.
Therefore, the x-coordinate of point D is -2.
Step 2: Recall that point D is opposite point A. Since opposite sides are equal in length, we can use this property to find the y-coordinate of point D. The y-coordinate of point D will be the same as the y-coordinate of point B.
Therefore, the y-coordinate of point D is 3.
Putting it all together, the ordered pair for point D is (-2, 3).
Therefore, the final answer is D(x, y) = (-2, 3).