To determine the centre of a circle, we need to draw the perpendicular bisector of two chords.
Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle ?
Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the bisector of angle BAC.
Show that the bisector of angle BAC is a perpendicular bisector of chord BC
If I draw a circle on a tracing paper and draw two equal chords and drop perpendicular from centre to the chord. Fold the paper such that the two chords coincide. Then, the two perpendiculars are also coinciding.