Show that a line segment has one and only one mid-point.
Asked by aarya_t | 24th Aug, 2014, 03:33: PM
Expert Answer:
Show that a line segment has one and only one mid-point.
Proof: Let point R be teh mid point of line segment PQ.
Let if posssible, O be another mid-point of PQ.
PO = OQ ....(1)
But, it is given that R is the mid point of PQ.
PR = RQ ....(2)
Subtracting (1) from (2), We get
Therefore, O and R must coinsides. Thus, every line segment has only one mid-point.
PO = OQ ....(1)PR = RQ ....(2)Answered by Anuja Salunke | 25th Aug, 2014, 09:03: AM
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