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.
rightwards double arrowPO = OQ       ....(1)
But, it is given that R is the mid point of PQ.

rightwards double arrowPR = RQ       ....(2)
Subtracting (1) from (2), We get 

Syntax error from line 1 column 69 to line 1 column 119. Unexpected 'PR'.
Therefore, O and R must coinsides. Thus, every line segment has only one mid-point.

Answered by Anuja Salunke | 25th Aug, 2014, 09:03: AM