SOLUTION: The diagonals of rectangle ABCD intersect at the point (-4,2) in the standard (x,y) coordinate plane. Point D is at (-1,-1). Which of the following are the coordinates of point B?

Question 1141695: The diagonals of rectangle ABCD intersect at the point (-4,2) in the standard (x,y) coordinate plane. Point D is at (-1,-1). Which of the following are the coordinates of point B?
The following diagram: https://i.imgur.com/sHXMBGp.png
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The diagonals of a rectangle bisect each other, so the intersection point (-4,2) is the midpoint of BD. Find the coordinates of B (the other end of BD) knowing that the midpoint is (-4,2) and D is (-1,-1).

One easy way to do that is to look at how far you go in the x- and y-directions from the midpoint to the given point D, then start at the midpoint and go the opposites of those distances in the two directions to find B.

Making a rough plot of the points can help find the answer, and/or to see that the answer you come up with is reasonable.
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