If P,Q and R are three points on a line and Q lies between P and R then show that PQ + QR = PR.(by using euclid's axioms)

 since P and R are equal to Q 
we can say that PQ+QR=PR

Things equal to same thing are equal to each other 

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PQ=PR PR=PQ-QR QR=PQ-QR SO, PQ-QR=QR
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_______.________
p                q                      r
                                              pq=qr
                                              pq+qr=pr
                                               qrpr -pq
                                             hence,proved
 
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AXIOM 1: things which are equal to the samething are equal to one another.

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PR coincides with PQ +QR , according to Euclid axiom , things which coincide with one another are equal to each other
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