Question

The diagonals of quadrilateral ABCD intersect at E(-1,4). ABCD has vertices at A(3,6) and B(-4,5). What must be the coordinates of C and D to ensure that ABCD is a parallelogram?

Answer 1

thus is just example
ABCD is a parallelogram. The co-ordinates of A,B, C are (2,3), (-5,2) and (4,1) respectively. Find the co-ordinates of D?

We know that diagonal of parallelogram bisect each other.

So A+C=B+D

D=A+C-B

D=(2,3)+(4,1)-(-5,2)

D=(2,3)+(4,1)+(5,-2)

D=(11,2)
I hope this will help you

Answer 2

Answer:

C is (-5,2)

D is (2, 3)

Step-by-step explanation:

In the attachments I have answered

this problem.

See the attachments for detailed solution .

I hope this answer helps you