Draw parallelogram ABCD with the following data :
`AB=6cm, AD=5cm "and" /_DAB=45^(@)`.
Let AC and DB in O let E be the mid-point of BC. Join OE. Prove that :
(i) `OE//AB`
(ii) `OE=(1)/(2)AB`.

Constructed a parallelogram ABCD, when : AB=6.0cm, AD=5.0cm "and" /_A=45^(@)

Using ruler and compasses only, construct a parallelogram ABCD, using the following data: AB=6cm, AD=3cm "and" /_DAB=45^(@) . If the bisector of /_DAB meets DC at P, prove that /_APB is a right angle.

Constructed a parallelogram ABCD, when : AB=4.4cm, AD=6.2cm "and" AC=4.8cm .

Construct a quadrilateral ABCD, when : AD=AB=4cm, BC=2.8cm, CD=2.5cm "and angle" BAD=45^(@) .

ABCD is a parallelogram E is mid-point of AB and DE bisects angle D. Prove that BC= BE

ABCD is trapezium in which AB||DC , DC = 30 cm and AB = 50 cm. If X and Y are, respectively the mid-points of AD and BC, prove that ar (DCYX) = (7)/(9) ar (XYBA) .

In a trapezium ABCD, if E and F be the mid-points of diagonal AC and BD respectively. Prove that EF=1/2(AB-CD).

Constructed a parallelogram ABCD, when : AB=5.8cm , diagonal AC=8.2cm and diagonal BD=6.2cm .

Draw a parallelogram ABCD, with AB=6cm, AD=4.8 cm and angleDAB=45^(@) . Draw the perpendicular bisector of side AD and let it meet AD at point P. also, draw the diagonals AC and BD, and let them intersect at point O. join O and P. measure OP. DC=5 cm

Construct a trapezium ABCD, when : AB=CD=3.2cm, BC=6.0cm, AD=4.4cm "and" AD//BC .