The given figure shows a rectangle ABDC and a parallelogram ABEF, drawn on opposite sides of AB. Prove that :
(i) quadrilateral CDEF is a parallelogram, (ii) Area of quad. CDEF
= Area of rec. ABDC
`+ "Area of" ////gm.ABEF`.

The along side figure shows a parallelogram ABCD in which AE = EF = FC. Prove that : (i) DE is parallel to FB (ii) DE = FB (iii) DEBF is a parallelogram

In the given figure, ABCD and ABEF are parallelograms. If O is the mid-point of BC, show that : DC = CF = FE.

In the given figure, ABCD is a parallelogram. Find the area of DeltaAED

In the adjoining figure D, E and F are the mid-points of the sides BC, CA and AB respectively of Delta ABC . Prove that: (i) square BDEF is a parallelogram (ii) area of Delta DEF = (1)/(4) xx " area of " Delta ABC (iii) square BDEF = (1)/(2) xx " area of " Delta ABC

In the given figure, ABCD is a parallelogram BC is produced to point X. prove that : "area" (DeltaABX)= "area" (quad.ACXD)

The given figure shows a parallelogram ABCD. Squares ABPQ and ADRS are drawn on sides AB and AD of the parallelogram ABCD. Prove that : (i) angle SAQ = angle ABC (ii) SQ = AC

One side of a parallelogram is 20cm and its distance from the opposite side is 16cm. Find the area of the parallelogram.

The given figure shows parallelograms ABCD and APQR. Show that these parallelograms are equal in area. [Join B and R]

The given figure shows parallelograms ABCD and APQR. Show that these parallelograms are equal in area. [Join B and R]

In parallelogram ABCD, X and Y are mid-points of opposite sides AB and DC respectively. Prove that: (i) AX=YC. (ii) AX is parallel to YC (iii) AXCY is a parallelogram.