Two lines `A B` and `C D` intersect at `O` such that `B C` is equal and parallel to `A Ddot` Prove that the lines `A B` and `C D` bisect at `Odot`

Two lines A B\ a n d\ C D intersect at O such that B C is equal and parallel to A Ddot Prove that the lines A B\ a n d\ C D bisect at O

Two segments A C and B D bisect each other at O . Prove that A B C D is a parallelogram.

Two segments A C and B D bisect each other at O . Prove that A B C D is a parallelogram.

Suppose line segments A B and C D intersect at O in such a way that A O=O D and O B=O C . Prove that A C=B D but A C may not be parallel to B D .

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

Diagonals A C\ a n d\ B D of a quadrilateral A B C D intersect at O in such a way that a r\ ( A O D)=a r\ (\ B O C)dot Prove that A B C D is a trapezium.

Suppose line segments A B\ a n d\ C D intersect at O in such a way that A O=O D\ a n d\ O B=O C . Prove that A C=B D but A C may not be parallel to B D .

Draw a circle with centre at point Odot Draw its two chords A B\ a n d\ C D such that A B is not parallel to C D . Draw the perpendicular bisector of A B\ a n d\ C Ddot At what point do they intersect?

Line segments AB and CD intersect at O such that A C||D B . If /_C A B=35^0 and /_C D B=55^0 find the /_B O Ddot

Line segments AB and CD intersect at O such that A C||D B . If /_C A B=35^0 and /_C D B=55^0 find the /_B O Ddot