Write whether the following statements are True or False? Justify your answer :

Two distinct intersecting lines cannot be parallel to the same line.

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The statements that are proved are called axioms.

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“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l” is known as Playfair’s axiom.

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Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.