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

Make the points as A B C D NOW take (x , y ) As the interesting points of the diagonals AC and BD now find the mid points of AC (-7+15)/2 and (-3+8)/2 (4,5/2) Now find the mid point of BD if mid point of AC and BD are same then it is the point of a parallelogram