Two chords `A B` and `C D` of a circle are parallel and a line `l` is the perpendicular bisector of `A B` . Show that `l` bisects `C Ddot`

Two chords A B\ a n d\ C D of a circle are parallel and a line L is the perpendicular bisector of A B . Show that L bisects C D

Two chords AB and CD of a circle are parallel and a line l is the perpendicular bisector of AB. Show that l bisects CD

Two chords AB and CD of a circle are parallel and a line l is the perpendicular bisector of AB. Show that l bisects CD

Two chords PQ and RS of a circle are parallel to each other and AB is the perpendicular bisector of PQ. Without using any construction, prove that AB bisects RS.

A D and B C are equal perpendiculars to a line segment A B . Show that C D bisects A Bdot

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?

Two chords A B and A C of a circle are equal. Prove that the centre of the circle lies on the angle bisector of /_B A Cdot

Two chords A B and A C of a circle are equal. Prove that the centre of the circle lies on the angle bisector of /_B A Cdot

A D\ a n d\ B C are equal perpendiculars to a line segment A B . Show that C D bisects A Bdot

If two chords A B and A C of a circle with centre O are such that the centre O lies on the bisector of /_B A C , prove that A B=A C , i.e. the chords are equal.