Question

A (2,5), B(1,0), C(-4,3) and D(-3,8) are the vertices of quadrilateral ABCD. Find the co-ordinates of the mid points of AC and BD. Give a special name to the quadrilateral

Answer 1

A= ( 2,5), B= (1,0), C= (-4,3) and D= (-3,8)

The midpoint of AC=

$( \frac{2-4}{2}, \frac{5+3}{2})$ = (-1,4)

The midpoint of BD=

$( \frac{1-3}{2} , \frac{0+8}{2})$= (-1,4)

Both the diagonals AC and BD bisect each other as their midpoints are same. Therefore, ABCD is a quadrilateral.

New name is PQRS or what is mentioned in the answers of your textbook.