Given a parallelogram ABCD with area 12 sq. units. A straight line is drawn through the midpoint M of the side BC and the vertex A which cuts the diagonal BD at a point'O'. Use vectors to determine the area of the quadrilateral OMCD.

The area of the parallelogram ABCD is 100 sq. units. P is the mid-point of BC. Determine the area of the DeltaABP .

In this figure ABCD is a square. The axes are drawn through the mid points of its sides. The length of its side is 6 units. Write the equation of its diagonal BD. .

Given Parallelogram ABCD in which diagonals AC and BD at M.Prove M is mid-point of LN.

The area of the parallelogram ABCD is 44 sq.cm. P is the mid-point of BC. Determine the area of the DeltaABP .

The area of a triangle ABC is 63 sq. units. Two parallel lines DE, FG, are drawn such that they divide the line segments AB and BC into three equal parts. What is the area of the quadrilateral DEGF ?

ABCD is a quadrilateral. AP is a line segment drawn through A and parallel to the diagonal BD, which intersects extended CD at P. If the area of the quadrilateral be 22 sq.cm, then find the value of 1/2DeltaBCP .

The base of an isosceles triangle measures 4 units base angle is equal to 45^(@) . A straight line cuts the extension of the base at a point M at the angle theta and bisects the lateral side of the triangle which is nearest to M. The area of quadrilateral which the straight line cuts off from the given triangle is