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Fifth Postulate and Playfair's Axiom

Match the fol...

Question

Match the following columns:

Column I Column II

(a) A line segment has a (p) Infinitely many

(b) A ray $\underset{B A}{\to}$ has the end point (q) definite length

(c) How many lines can pass through a given point? (r) B

(d) How many lines can pass through two given points? (s) Only one

(a) ........
(b) ........
(c) ........
(d) ........

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Solution

Column I Column II

(a) A line segment has a (q) definite length

(b) A ray $\underset{B A}{\to}$ has the end-point (r) B

(c) How many lines can pass through a given point? (p) Infinitely many

(d) How many lines can pass through two given points? (s) Only one

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Q. Match the following columns.

Column I	Column II
(a) How many lines can be drawn through one given point?	(p) One only
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(d) How many end-points does a line segment $A B$ have?	(s) None

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Column I	Column II
(a) Any line parallel to the x-axis is	(p) 3
(b) Any line parallel to the y-axis is	(q) y = mx
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Column I	Column II
(a) The point A(−3, 0) lies on	(p) y-axis
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Column I	Column II
(a) Equation of x-axis is	(p) (a, 0)
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Fifth Postulate and Playfair's Axiom

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