In the given figure, ABCD is a quadrilateral and E and F are points on AD and CD respectively such that AB = CB, `angleABE=angleCBF and angleEBD=angleFBD.` Prove that `BE=BF.`

In the adjoining figure, ABCD is a quadrilateral. M and N are the points on AD and CD respectively such that AB = BC, angleABM=angleCBN and angleMBD=angleNBD . Prove that BM = BN .

In the adjoining figure, ABCD is a quadrilateral. M and N are the points on AD and CD respectively such that AB = BC, angleABM=angleCBN and angleMBD=angleNBD . Prove that BM = BN .

In fig. ABCD is a quadrilateral and L and M are respectively points on AD and CD such that AB=BC, angleABL=angleCBM and angleLBD=angleMBD . Prove that BL=BM.

In the given figure ABCD is a parallelogram in which AB||CD and E and F are the mid points of AB and BC respectively. What is the area of angleBEF ?

If ABCD is quadrilateral and E and F are the mid-points of AC and BD respectively, prove that vec AB+vec AD+vec CB+vec CD=4vec EF

The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

If ABCD is a quadrilateral and E and F are the midpoints of AC and BD respectively, then prove that vec(AB)+vec(AD)+vec(CB)+vec(CD)=4vec(EF) .

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.