In Figure, `A B C D E` is a pentagon. A line through `B` parallel to `A C` meets `D C` produced at `Fdot` Show that `a r( A C B)=a r( A C F)` (ii) `a r( A E D F)=a r(A B C D E)`

In Figure, A B C D E\ is a pentagon. A line through B parallel to A C meets D C produced at F . Show that: (i) a r\ ( A C B)=a r\ ( A C F) (ii) a r\ (A E D F)=a r\ (A B C D E)

In Figure, A B C D E\ is a pentagon. A line through B parallel to A C meets D C produced at Fdot Show that: a r\ ( A C B)=a r\ ( A C F) a r\ (A E D F)=a r\ (A B C D E)

In Figure, A B C D E is a pentagon. A line through B parallel to A C meets D C produced at F . Show that: (i) a r( triangle A C B)=a r(triangle A C F) (ii) a r( quadrilateral A E D F)=a r(A B C D E)

A B C D is a quadrilateral. A line through D , parallel to A C , meets B C produced in P as shown in Figure. Prove that a r\ ( A B P)=a r\ (Q u a ddotA B C D)dot

A B C D is a quadrilateral. A line through D , parallel to A C , meets B C produced in P as shown in figure. Prove that a r (triangle A B P) =a r (Quad. A B C D) .

In Figure, A B C D is a quadrilateral and B E|A C and also B E meets D C produced at Edot Show that area of A D E is equal to the area of the quadrilateral A B C D

In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also A L\ _|_D C . Prove that (i) a r(A B C D=a r(E F C D) (ii) a r\ ( A B C D)=D C x A L

In Figure, A B C D is a quadrilateral and B E || A C and also B E meets D C produced at E . Show that area of triangle A D E is equal to the area of the quadrilateral A B C D .

In Figure, A B C D is a parallelogram and E F C D is a rectangle. Also A L_|_D Cdot Prove that : a r(A B C D)=a r(E F C D) a r(A B C D)=D CxA L

P is the mid-point of side A B of a parallelogram A B C D . A line through B parallel to P D meets D C at Q\ a n d\ A D produced at R . Prove that: (i) A R=2B C (ii) B R=2\ B Q