D, E and F are respectively the mid-points of the sides BC, CA and AB of a`DeltaA B C`.Show that (i) BDEF is a parallelogram. (ii) `a r\ (D E F)=1/4a r\ (A B C)`(iii) `a r\ (B D E F)=1/2a r\ (A B C)`

D, E and F are respectively the mid-points of the sides BC, CA and AB of aDeltaA B C . Show that (i) BDEF is a parallelogram. (ii) a r" "(D E F)=1/4a r" "(A B C) (iii) a r" "(B D E F)=1/2a r" "(A B C)

D,E and F are respectively the mid-points of the sides BC,CA and AB of a /_ABC. Show that (i) BDEF is a parallelogram

D, E and F are respectively the mid-points of the sides BC, CA and AB of a triangle ABC . Show that:- BDEF is a parallelogram.

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)

D, E and F are the mid-points of the sides BC, CA and AB of a triangle ABC. Show that BDEF is a parallelogram

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.

If E ,\ F ,\ G\ a n d\ H are respectively the mid-points of the sides of a parallelogram A B C D ,\ Show that a r(E F G H)=1/2a r\ (A B C D)

If E ,F ,G and H are respectively the mid-points of the sides of a parallelogram A B C D , show that a r(E F G H)=1/2a r(A B C D)dot

If E ,F ,G and H are respectively the mid-points of the sides of a parallelogram A B C D , show that a r(E F G H)=1/2a r(A B C D)

E , F , G , H are respectively, the mid-points of the sides A B ,B C ,C D and D A of parallelogram A B C D . Show that the quadrilateral E F G H is a parallelogram and that its area is half the area of the parallelogram, A B C Ddot GIVEN : A quadrilateral A B C D in which L ,F ,G ,H are respectively the mid-points of the sides A B ,B C ,C D and D Adot TO PROVE : (i) Quadrilateral E F G H is a parallelogram a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join A C and H F