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Fifth Postulate and Playfair's Axiom

Given a line ...

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

One, Parallel

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Q. 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.

Q. 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.

Q. 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.

Q. Fill in the blanks so as to make the following statements true:

(i) Two distinct points in a plane determine a ........line.

(ii) Two distinct ........... in a plane cannot have more than one point in common.

(iii) 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.

(iv) A line separates a plane into ......... parts namely the ...........and the ........... itself.

Q. Given a line in a plane and a point outside the line in the same plane, there is a unique line passing through the given point and parallel to the given line. This statement is ________

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Fifth Postulate and Playfair's Axiom

Standard IX Mathematics

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