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UNIT 113. In figure, AP and BQ areperpendiculars to the line segmentAB and AP BQ. Prove that O is themidpoint of line segment AB as wellAas PQ4. Suppose ABC is an isoscelestrianple with AB AC; BD and CE

Answer»

in ∆ AOP and ∆ BOQ

angle AOP = angle BOQAP = BQangle OAP = angle OBQ (90°)by AAS ∆ AOP and ∆ BOQ are congurent,therefore by CPCT AO = OBPO = OQthat means O is midpoint of AB and PQ

thanks a lot for helping



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