Show that the points A(- 4, -1), B(-2, - 4), C(4, 0) and D(2, 3) are the vertices points of a rectangle.
Vertices of rectangle ABCD are: A(- 4, -1), B(-2, - 4), C(4, 0) and D(2, 3)
Length of side AB =
Length of side AB = =
=
units
Length of side BC = =
=
=
units
Length of side CD = =
=
units
Length of side DA = =
=
=
units
Length of diagonal BD = =
=
units
Length of diagonal AC = =
=
units
Since opposite sides are equal and diagonal are equal. Therefore given vertices are the vertices of a rectangle.