For any parallelogram, the opposite sides must be both parallel and equal.
If you draw in the points and connect (-3 , 1) and (2 , 9) as one of the sides, follow the movements from the X coordinates and the Y coordinates
Then do those same movements from the end vertex (10, -2) โโthis will ensure that both opposite side are parallel and congruent.
X coordinate: from -3 to 2โโ-> 5 units right along X axis
Y coordinate: from 1 to 9 โโโ-> 8 units up along the positive Y axis
Starting from vertex (10 , -2)
Moving 5 units right brings you to X coordinate = 15
Then moving 8 units up brings you to Y coordinate = 6
(15, 6)
giovannisumano wrote:
TAC470 wrote:
Given the points ๐ด (2, 9), ๐ต (โ3, 1) and ๐ถ (10, โ2), Which of the following points could be the fourth vertex of parallelogram ๐ด๐ต๐ถ๐ท?
A. (8,โ11)
B. ( 5,8 )
C. (15,6 )
D. (5,โ6)
E. None of these.
shouldn't the answer be D? if not please explain why
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