The vertices of a quad. PMQS are P(0, 0), M(3, 2), Q(7, 7) and S(4, 5). Show that PMQS is a parallelogram.
The mid-point of one diagonal in the samer as that of the other diagonal.

The vertices of a quadrilateral. PMQS are P(0, 0), M(3, 2), Q(7, 7) and S(4, 5). Show that PMQS is a parallelogram.

The vertices of a quad. PMQS are P(0, 0), M(3, 2), Q(7, 7) and S(4, 5). Show that PMQS is a parallelogram. opposite sides are parallel.

Prove that the points (3, 2), (6, 3), (7, 6) and (4, 5) are the vertices of a parallelogram. Is it a rectangle?

Prove that the points (4, 8), (7, 5) , (1, -1) and (-2, 2) are the vertices of a parallelogram.

Prove that the points (3,\ -2),\ (4,\ 0),\ (6,\ -3) and (5,\ -5) are the vertices of a parallelogram.

Show that the points A(1,\ 0),\ \ B(5,\ 3),\ \ C(2,\ 7) and D(-2,\ 4) are the vertices of a parallelogram.

Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) are the vertices of a parallelogram.

Show that the points (a,b), (a + 3, b+4), (a-1, b+7) and (a-4, b+3) are the vertices of a parallelogram.

The area of a parallelogram is 12 square units. Two of its vertices are the points A (-1, 3) and B (-2, 4) . Find the other two vertices of the parallelogram, if the point of intersection of diagonals lies on x-axis on its positive side.

The point (-4,5) is vertex of a square and one of its diagonal is 7x-y+8=0. The equation of other diagonal is