(i)Prove that every line segment has one & only one midpoint.
(ii)In the given figure are exterior angles of quadrilateral ABCD at point B & D &
Asked by araima2001 | 13th Sep, 2014, 10:48: AM
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 coincide.
Thus, every line segment has only one mid-point.
Answered by Mili Hariyani | 14th Sep, 2014, 03:13: AM
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