`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`

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)

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

E, F, G and H are the mid-points of the sides of a parallelogram ABCD. Show that area of quadrilateral EFGH is half of the area of parallelogram ABCD.

The sides A B\ a n d\ C D of a parallelogram A B C D are bisected at E\ a n d\ F . Prove that E B F D is a parallelogram.

E , F , G , H are respectively, the mid-points of the sides of parallelogram A B C D . Show that the area of EFGH 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 : a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join H and F

The sides A B and C D of a parallelogram A B C D are bisected at Ea n dF . Prove that E B F D is a parallelogram.

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 ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a Delta A B C . Determine the ratio of the areas of D E F and A B C .

p\ A N D\ q are any two points lying on the sides D C\ a n d\ A D respectively of a parallelogram A B C Ddot\ Show that a r( A P B)=a r\ ( B Q C)dot