solve the 11th question fast argent
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In AOP and BOQ,
angle POA = angle BOQ [vertically opposite angle]
angle PAO = angle QBO [each 90 degree]
AP = BQ [given]
triangle AOP congruent to triangle BOQ [by AAS]
So, AO = BO [by CPCT]
PO = QO [by CPCT]
Therefore O is the midpoint of AB and PQ.
angle POA = angle BOQ [vertically opposite angle]
angle PAO = angle QBO [each 90 degree]
AP = BQ [given]
triangle AOP congruent to triangle BOQ [by AAS]
So, AO = BO [by CPCT]
PO = QO [by CPCT]
Therefore O is the midpoint of AB and PQ.
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