Mathematics
Prove that the points A(2, 3), B(-2, 2), C(-1, -2) and D(3, -1) are the vertices of a square ABCD.
Related Questions
Show that the points (0, -1), (-2, 3), (6, 7) and (8, 3), taken in order, are the vertices of a rectangle. Also find its area.
If P(2, -1), Q(3, 4), R(-2, 3) and S(-3, -2) be four points in a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus.
Name the type of quadrilateral formed by the following points and give reasons for your answer :
(-1, -2), (1, 0), (-1, 2), (-3, 0).
Name the type of quadrilateral formed by the following points and give reasons for your answer :
(4, 5), (7, 6), (4, 3), (1, 2)