If `D ,E` and `F` are the mid-points of the sides of a `/_\A B C`, the ratio of the areas of the triangles `D E F` and `D C E` is (a) 1.1:1 (b) 1:1.1 (c) 1:1 (d) 0.9:1

If D,E and F are the mid-points of the sides of a /_ABC, the ratio of the areas of the triangles DEF and DCE is (a) 1.1:1 (b) 1:1.1 (c) 1:1 (d) 0.9:1

If D ,\ E and F are the mid-points of the sides of a /_\A B C , the ratio of the areas of the triangles D E F and ABC is .......

A B C and B D E are two equilateral triangles such that D is the mid-point of B C . The ratio of the areas of the triangles A B C and B D E is 2:1 (b) 1:2 (c) 4:1 (d) 1:4

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

In A B C ,\ D and E are the mid-points of A B and A C respectively. Find the ratio of the areas of A D E and A B C .

A B C D is a square. E is the mid-point of B C and F is the mid-point of C D . The ratio of the area of triangle A E F to the area of the square A B C D is (a) 1 : 2 (b) 1 : 3 (c) 1 : 4 (d) 3 : 8

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 .

ABCD is a rectangle and E and F are the mid-points of AD and DC respectively.Then the ratio of the areas of EDF and AEFC would be (a) 1:2 (b) 1:3 (c) 1:4 (d) 2:3

If D ,E and F are three points on the sides B C ,CA and A B , respectively, of a triangle A B C show that the (B D)/(C D)=(C E)/(A E)=(A F)/(B F)=-1

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)