12.question anSwer pls accurate
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Consider the two triangles OPQ and ORS.
PQ=RS (Given)
Angle PQO = Angle RSO = 90°
Angle POQ = Angle ROS. (vertically opposite angles)
By AAS Congruence we have ,
Triangle OPQ is congruent to Triangle ORS.
OQ=OS......(BY CPCT)
This implies that PR and QS bisect each other.
Hence proved.
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Answered by
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From the given statement, we must consider PQRS as a straight line, where P, Q, R and S are followed by one another.
PQ = RS from the diagram.
PQ + QR = QR + RS ( by using addition postulate)
PQ + QR = PR (segment addition, betweeness)
QR + RS = QS (segment addition, betweeness)
Therefore, the segment PR must be equal to QS.
Hence proved.
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