In Figure, `B C ||X Y ,B X||C A` and `A B|| YC` Prove that: `a r( A B X)=a r( A C Y)`

In Figure, B C X Y ,\ B X C A and A B Y Cdot Prove that: a r( A B X)=a r( A C Y)

A B C D is a trapezium with A B||D C . A line parallel to A C intersects A B at X a n d B C at Ydot Prove that a r( A D X)=a r( A C Y)dot

A B C D is a trapezium with A B D Cdot A line parallel to A C intersects A B at X and B C at Ydot Prove that a r( A D X)=a r( A C Y)dot

X Y isa line parallel to side B C of A B CdotB E A and C F A B meet X Y in E and F respectively.Show that a r( A B E)=a r( A C F)dot

ABCD is a trapezium with A B" "||" "D C . A line parallel to AC intersects AB at X and BC at Y. Prove that a r" "(A D X)" "=" "a r" "(A C Y) .

In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respectively, Q P\ B C\ a n d\ C Y Q\ a n d\ B X P are straight lines. Prove that a r\ (\ A B P)=\ a r\ (\ A C Q)

If Figure, C D\ A E\ a n d\ C Y B A Name a triangle equal in area of \ C B X Prove that a r\ (\ Z D E)=\ a r\ (\ \ C Z A) Prove that a r\ (B C Z Y)=a r\ (\ E D Z)

A B C D is a parallelogram X and Y are the mid-points of B C and C D respectively. Prove that a r( A X Y)=3/8a r(^(gm)A B C D) GIVEN : A parallelogram A B C D in which X and Y are the mid-points of B C and C D respectively. TO PROVE : a r( A X Y)=3/8a r(^(gm)a b c d) CONSTRUCTION : Join B Ddot

In Figure, A B C D is a trapezium in which A B\ D C\ a n d\ D C=40\ c m\ a n d\ A B=60\ c mdot If X\ a n d\ Y are, respectively, the mid-points of A D\ a n d\ B C , prove that: a r\ (t r a pdotD C Y X)=9/(11)\ a r\ (t r a pdot(X Y B A)

In Figure, A B C D is a parallelogram and X ,Y are the mid=points of sides A B and D C respectively. Show that A X C Y is a parallelogram. Figure