3. The following figureshows a circle withcentre O.If OP is perpendicu – InterviewSolution

1.	3. The following figureshows a circle withcentre O.If OP is perpendicularto AB, prove that AAP = BP.
Answer» to proof: AP = BPBy const.=draw radius from A to O and from B to OProof : In ΔAOP and ΔBOP AO = BO(radius of circle) angleAPO=angleBPO(each=90°) OP=OP (common) ΔAOP≈ΔBOP(by SAS) by cpct AP=BP

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