Diagonals `A C` and `B D` of a trapezium `A BC D` with `A B, D C` intersect each other at the point `O` . Using similarity criterion for two triangles, show that `(O A)/(O C)=(O B)/(O D)` .

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point O. Using a similarity criterion for two triangles, show that (O A)/(O C)=(O B)/(O D)

Diagonals A C and B D of a trapezium A B C D with A B || C D intersect each other at O . Prove that ar ( triangle A O D)=a r( triangle B O C) .

Diagonals A C\ a n d\ B D of a trapezium A B C D with A B||D C intersect each other at O . Prove that a r\ ( A O D)=\ a r\ ( B O C) .

Diagonal A C\ a n d\ B D of trapezium A B C D , in which A B || D C , intersect each other at Odot The triangle which is equal in area of A O D is A O B (b) B O C (c) D O C (d) A D C

ABCD is a trapezium in which AB||DC and its diagonals intersect each other at the point O. Show that (A O)/(B O)=(C O)/(D O) .

Diagonals A C and B D of a quadrilateral A B C D intersect at O in such a way that a r(triangle A O D)=a r(triangle B O C) . Prove that A B C D is a trapezium.

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.

If the diagonals A C ,\ B D of a quadrilateral A B C D , intersect at O , and separate the quadrilateral into four triangles of equal area, show that quadrilateral A B C D is a parallelogram.

The diagonals of a quadrilateral ABCD intersect each other at the point O such that (A O)/(B O)=(C O)/(D O) . Show that ABCD is a trapezium.

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