Source: Official Guide Revised GRE 1st Ed. Part 6; Set 3; #10


Parallelogram OPQR lies in the xy-plane, as shown

Parallelogram OPQR lies in the xy-plane, as shown in the figure above. The coordinates of point P are (2,4) and the coordinates of point Q are (8, 6). What are the coordinates of point R? (3, 2), (3, 3), (4, 4), (5, 2), (6, 2)

3 Explanations


Brad Vanderford

I calculated the slope from P to O as 2 and knew that QR had to have the same slope as it is parallel, so then I just walked down the slope (down 2 over 1, down 2 over 1) to see what coordinates would lie on the line. The first coordinate is (7,4) and then the second coordinate is (6,2).

Oct 28, 2015 • Comment



What I did is, I joined PR and OQ. The midpoint of OQ will be (4,3) from where the diagonal PR will be passing. So P is (2,4). The middle point of PR/OQ is (4,3). By comparing P and Midpoint of PR or OQ, we can guess that R would be (6,2)
My logic is based on assumptions but it works :P

Oct 16, 2014 • Comment


Gravatar Chris Lele, Magoosh Tutor

Oct 8, 2012 • Comment

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