Question

Show that the points A(- 4, - 1), B( - 2, - 4), C(4, 0) and D(2, 3) are the vertices points of a rectangle.

Answer 1

Given: 

the points A(- 4, -1), B( - 2, - 4), C(4, 0) and D(2, 3) 

To prove: 

the points are the vertices points of a rectangle. 

Solution: 

Vertices of rectangle ABCD are: A(- 4, -1), B(- 2, - 4), C(4, 0) and D(2, 3)

Since opposite sides are equal and diagonal are equal. Therefore given vertices are the vertices of a rectangle.