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Example – 3 : In the adjoining figure, AB and AC are two equal chords of a circle with centre O. Show that O lies on the bisector of

Solution :

AB = AC

OA is joined

TO Prove :

Construction : OM and ON are drawn perpendicular to AB and AC respectively.

Proof :

Statement	Reason
1. AOM and AON OM = =ON OA = OA	1. Equal chord are equidistant from the centre By construction Common R.H.S
2.	2. Statement (1)
3.	3. Statement (2)