sandy wrote:
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 ?
A. (3, 2)
B. (3, 3)
C. (4, 4)
D. (5, 2)
E. (6, 2)
KEY CONCEPT: Since OPQR is a parallelogram, we know that
sides PQ and OR are parallel AND the same lengthLet's take a closer look at side PQ
Notice that, to get from point P to point Q we must move 2 units UP and move 6 units RIGHT.
Since sides PQ and OR are parallel AND the same length, the same must apply to points O and R
So, if we start from point O (at 0,0) and move 2 units UP and move 6 units RIGHT, we must get to point R
From here, it we can determine the coordinates of point R
Answer: E
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