Question

Prove that the points (-7, -3), (5, 10), (15, 8) and (3, -5) taken in order are the corners of a parallelogram.

Answer 1

To show that the given points form a parallelogram. 

We have to show that the mid points of each diagonal are same. 

Since diagonals of a parallelogram bisect each other. 

Now let A(-7, -3), B(5, 10), C(15, 8) and D(3, -5) 

Then midpoint of diagonal 

∴ (1) = (2) 

Hence the given are vertices of a parallelogram.