Distance between : -3,1 and 2,9 should be equal to 10,-2 and x,y
Solve x,y for all options .
C fits in .

Posted from my mobile device

shouldn't the answer be D? if not please explain why

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) ——this will ensure that both opposite side are parallel and congruent.


X coordinate: from -3 to 2——-> 5 units right along X axis

Y coordinate: from 1 to 9 ———-> 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)




Posted from my mobile device

Opposite side should be parallel.
So AB || CD and both have same slope.
If (x1,y1) and (x2,y2) are 2 points on the same line then slope is given by (y2-y1)/(x2-x1)

Slope of AB = (1-9)/(-5) = 8/5
Slope of BC = (y+2)/(x-10) = 8/5

Looking at answer choices, substituting (15,6) for (x,y) satisfies the equation.