Easy
If $P$,$Q$,and $R$ are three points on a line,and $Q$ lies between $P$ and $R$ [see figure],then prove that $PQ + QR = PR$.
(N/A) In the figure given above,the line segment $PR$ coincides with the sum of line segments $PQ$ and $QR$.
Euclid's axiom $(4)$ states that things which coincide with one another are equal to one another.
Therefore,it can be deduced that $PQ + QR = PR$.
Note that,in this solution,it has been assumed that there is a unique line passing through two distinct points.
Euclid's axiom $(4)$ states that things which coincide with one another are equal to one another.
Therefore,it can be deduced that $PQ + QR = PR$.
Note that,in this solution,it has been assumed that there is a unique line passing through two distinct points.
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