`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

A B C is a triangle in which D is the mid-point of B C ,\ E\ a n d\ F are mid-points of D C\ a n d\ A E respectively. If area of A B C is 16\ c m^2, find the area of D E F

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

D is the mid-point of side B C of A B C and E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r( B O E)=1/8a r( A B C)

D is the mid-point of side B C of \ A B C\ a n d\ E is the mid-point of B Ddot If O is the mid-point of A E , prove that a r\ (\ B O E)=1/8a r\ (\ 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

ABC and BDE are two equilateral triangles such that D is the mid-point of BC .The ratio of the areas of the triangles ABC and BDE 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 .

A B C is a triangle in which D is the mid-point of B C and E is the mid-point of A Ddot Prove that area of B E D=1/4a r e aof A B Cdot GIVEN : A A B C ,D is the mid-point of B C and E is the mid-point of the median A Ddot TO PROVE : a r( B E D)=1/4a r( A B C)dot

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( R Q C)=3/8\ a r\ (\ A B C)