Geometry question

Question

I just graphed these points on a coordinate plane and I need to find a fourth point to create a parallelogram. What 4^th point can I use?

x (0,0)

y (5, 2)

z (5, 7)

Multiple choice:

(0,5)

(0,-2)

(10,7)

(10,-2)

(0,-5)

(10,9)

Answer 1

Opposite sides if a parallelogram are parallel (have same slope)

(0,0) and (5,2) are on one side

(5,7) and missing point on on the other

slope is rise over run

to go from (0,0) to (5,2) is a run of 5 and a rise of 2.

so do same thing on point (5,7)

a run of 5 and a rise of 2 from (5,7) will give (10,9)