The following figure shows a circle with centre O If OP is perpendicular to AB prove that AP=BP
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AB is the chord of the circle.
join A and B to O
in triangle APO and BPO
AO = BO (radii of the same circle)
<APO = <BPO (given OP ⊥ AB)
OP = OP (common side)
therefore two triangles are congruent by SAS congruency
AP = BP (cpct)
join A and B to O
in triangle APO and BPO
AO = BO (radii of the same circle)
<APO = <BPO (given OP ⊥ AB)
OP = OP (common side)
therefore two triangles are congruent by SAS congruency
AP = BP (cpct)
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