SOLUTION: The diagonals of a parallelogram intersect at (-2,1.5). Two vertices are located at (-7,2) and (2,6.5). Find the coordinates of the other two vertices..

Question 1107794: The diagonals of a parallelogram intersect at (-2,1.5). Two vertices are located at (-7,2) and (2,6.5). Find the coordinates of the other two vertices..

Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

The diagonals of a parallelogram bisect each other. So the distance and direction from a vertex to the point of intersection of the diagonals is the same as the distance and direction from the point of intersection to the opposite vertex.

So, for example, one given vertex is (-7,2) and the point of intersection of the diagonals is (-2,1.5). To get from the vertex to the point of intersection, you need to move 5 units right and 0.5 units down. So to find the opposite vertex, you need to start at (-2,1.5) and go another 5 units to the right and 0.5 units down.

And similarly starting from the other given vertex you can find the last vertex.
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