"Diagonals of parallelogram `A B C D` intersect at `O` as shown in Figure. XY contains `O ,\ a n d\
Channel: Doubtnut
Date: 2020-06-28

"Diagonals of parallelogram `A B C D`
 intersect at `O`
 as shown in Figure. XY contains `O ,\ a n d\ X ,\ Y`
 are points on opposite sides of the parallelogram.
 
  Give reasons for each of the following:
 `O B=O D`
  (ii) `/_O B Y=/_O D X`
 
 `/_B O Y=\ /_D O X`
 
 
  (iv) ` B O Y~= D O X`
 
 Now, state if `X Y`
 is
 
  bisected at `Odot`"