Question

Show that the points A(2,-2), B(14, 10), C(11, 13) and

D(-2, 1) are the vertices of reclangle
​

Answer 1

is not a rectangle

Explanation:

The midpoints of the diagonals are ...

AC midpoint = ((2, -2) +(11, 13))/2 = (13/2, 11/2)

BD midpoint = ((14, 10) +(-2, 1))/2 = (6, 11/2)

The midpoints of the diagonals are different, so this is not a rectangle or any sort of parallelogram.