A(1,2),B(5,4) and C(3,8) are the vertices of a parallelogram ABCD. Find the point D.

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD. Find the vector equations of side AB and BC and also find the coordinates of point D .

Prove that the points (2, - 1), (0, 2), (3, 3) and (5,0) are the vertices of a parallelogram. Also find the angle between its diagonals.

If the points A(6, 1 ), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p.

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

Points A(5,3),B(-2,3) and D(5,-4) are the vertices of a square ABCD. Plot these points a graph paper and hence find the coordination the vertex C.

If (1, 2) , (4, y) , (x, 6) and (3, 5) are the vertices of a parallelogram taken inorder, find x and y.

By using the concept of slope, show that the points (-2,-1), (4,0), (3,3) and (-3,2) are the vertices of a parallelogram.

If A(-1, 6), B(-3, -9) and C(5, -8) are the vertices of a triangle ABC , find the equations of its medians.

Without using distance formula, show that points (- 2,-1), (4, 0), (3, 3) and (-3, 2) are the vertices of a parallelogram.

Show that the points A(1, 2, 3,), B (-1, -2. -1), C(2, 3, 2) and D(4, 7, 6) are the vertices of parallelogram ABCD but it is not a rectangle.