In Figure, `O` is the mid point of `A B` and `C D` . Prove that `A O C~= B O D` AC=BD (iii) `A C B D`

In Figure O is the mid-point of aB and CD. Prove tat AC=BD and AC||BD.

In Figure O is the mid-point of AB and CD . Prove that AOC~=BOD( b) AC=BD (iii) AC||BD

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

In Figure, A B C D is a trapezium in which A B||C D . Prove that: a r( A O D)=a r( B O C)dot

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

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\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A 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)

In figure, ABC is triangle in which /_A B C > 90o and A D_|_C B produced. Prove that A C^2=A B^2+B C^2+2B C.B D .

In a triangle OAC, if B is the mid point of side AC and vec O A= vec a , vec O B= vec b , then what is vec O C ?