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Question

Given a line and a point, not on the line, there is one and only __________ line which passes through the given point and is ___________ to the given line.

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Solution


The equivalent version of Euclid's fifth postulate (Playfair's Axiom) states that 'For every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l.'


Given a line and a point, not on the line, there is one and only __one__ line which passes through the given point and is __parallel__ to the given line.

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