# SOLUTION: If I am given three points and ask to find a fourth so that they are vertices of a parallelogram, how do I find the fourth?

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 Geometry: Parallelograms Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Parallelograms Question 90968: If I am given three points and ask to find a fourth so that they are vertices of a parallelogram, how do I find the fourth?Answer by stanbon(57407)   (Show Source): You can put this solution on YOUR website!If I am given three points and ask to find a fourth so that they are vertices of a parallelogram, how do I find the fourth? ----------- Plot the three points so you can see what you are doing. The three points will determine two sides of the parallelogram if you choose the proper pair of points for each line. Now you should see approximately where the 4th point has to be You need to find the equation of two lines; each of the lines is parallel to one of the original sides and passes thru the proper known point. Once you get those two equations you need to find the intersection of those two lines to determine the 4th vertex of the parallelogram. ---------------------- Cheers, Stan H.