Diagonals of parallelograms- how to find the coordinates

[AwkwardBi]

Hi! I have a question about Geometry. “The diagonals of parallelograms BEND intersect at point Q. What are the coordinates of Q? B(-4, 7) E(3,0) N(2, -5) D(-5, 2). I plotted the points, but I don’t know how to find the coordinates of Q

 

[Deleted member 4993]

Hi! I have a question about Geometry. “The diagonals of parallelograms BEND intersect at point Q. What are the coordinates of Q? B(-4, 7) E(3,0) N(2, -5) D(-5, 2). I plotted the points, but I don’t know how to find the coordinates of QView attachment 23472

What is the equation of the line ED?

What is the equation of the line BN?

Where do those intersect ?

 

[Harry_the_cat]

It might help if you know that the diagonals of a parallelogram bisect each other.

 

[Steven G]

...which means just find the midpoint of either diagonal. How do you find the midpoint of a line segment? Look up the answer and try to use it. If you need help then please ask here.