IN given figure, PQRS and ABRS are parallelograms and X is any point

(i) ar (PQRS) = ar (ABRS)
(ii) ar (AXS) = 1/2 ar (PQRS)

In, PQRS and ABRS are parallelograms and X is any point on side BR. Show that ar (PQRS) = ar (ABRS) as (AXS) = (1)/(2) ar (PQRS)

In the following figure, ABCD, DCFR and ABFE are parallelograms. Show that ar (ADE) = ar (BCF)

IN the figure, P is a point in the interior of a parallelogram ABCD. Show that (i) ar(APB) + ar(PCD) = 1/2 ar (ABCD) (ii) ar (APD) + ar(PBC) = ar(APB) + ar (PCD)

D,E and F are respectively the mid-points of the sides BC, CA and AB of triangle ABC show that (i) BDEF is a parallelogram. (ii) ar (DEF) = 1/4 ar (ABC) (iii) ar (BDEF) = 1/2 ar (ABC)

In P is a point in the interior of a parallelogram ABCD. Show that (ii) ar (APD) + ar (PBC) = ar (APB) + ar (PCD)

In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i) ar (ACB) = ar (ACF) (ii) ar (AEDF) = ar (ABCDE)

In the Given figure, E is any point on median AD of a triangle ABC Show that ar (ABE) = ar (ACE)

In, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that (i)ar (ACB) = ar (ACF) (ii)ar (AEDF) = ar(ABCDE)