In a parallelogram `A B C D` diagonals `A C` and `B D` intersect at `O` and `A C=6. 8c m` and `B D=13. 6c m`. Find the measures of `O C` and `O D`.

In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a n d\ A C=6. 8\ c m\ a n d\ B D=5. 6 c m . Find the measures of O C\ a n d\ O D .

Show that the diagonals of a parallelogram divide it into four triangles of equal area. GIVEN : A parallelogram A B C D . The diagonals A C and B D intersect at Odot TO PROVE : a r( O A B)=a r( O B C)=a r( O C D)=a r( A O D)

A B C D is a rhombus whose diagonals intersect at Odot If A B=10 c m , diagonals B D=16\ c m , find the length of diagonal A C

A B C D is a trapezium in which AB is parallel to CD . The diagonals A C and B D intersect at O . Prove that (i) A O B ~ C O D (ii) If O A=6c m , O C=8c m , Find: (A r e a\ ( A O B))/(A r e a\ ( C O D)) (b) (A r e a\ ( A O D))/(A r e a\ ( C O D))

A B C D is a square. A C\ a n d\ B D intersect at O . State the measure of /_A O B .

A B C D is a parallelogram whose diagonals A C and B D intersect at Odot A Line through O intersects A B at P and D C at Qdot Prove that a r( P O A)=a r( Q O C)dot

Two lines A B\ a n d\ C D intersect at Odot If /_A O C+/_C O B+/_B O D=270^0 , find the measures of /_A O C ,\ /_C O B ,\ /_B O D and /_D O A .

Two lines A B\ a n d\ C D intersect at Odot If /_A O C+/_C O B+/_B O D=270^0 , find the measures of /_A O C ,\ /_C O B ,\ /_B O D and /_D O A .

If the diagonals A C ,B D of a quadrilateral A B C D , intersect at O , and seqarate the quadrilateral into four triangles of equal area, show that quadrilateral A B C D is a parallelogram. GIVEN : A quadrilateral A B C D such that its diagonals A C and B D intersect at O and separate it into four parts such that a r( A O B)=a r( B O C)=a r( C O D)=a r( A O D) TO PROVE : Quadrilateral A B C D is a parallelogram.

A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect at O . A line through O intersects A B\ a t\ P\ a n d\ D C\ at Q . Prove that a r\ (\ /_\P O A)=\ a r\ (\ /_\Q O C) .