Question

Show that the point A(1,0),B(5,3),C(2,7)and D(-2,4) are the vertices of a parallelogram.

Answer 1

Answer:

The midpoint of diagonal AC is (1+2/2 , 0+7/2) = (3/2,7/2)

The midpoint of diagonal BD is (5-2/2 , 3+4/2) = (3/2,7/2)

The diagonals AC and BD bisect each other ⇒ ABCD is a parallelogram