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Euclidean Geometry

Match the fol...

Question

Match the following columns.

Column I Column II

(a) How many lines can be drawn through one given point? (p) One only

(b) How many lines can be drawn through two given points? (q) Infinitely many

(c) How many end-points does a line $\overset{\leftrightarrow}{A B}$ have? (r) Two only

(d) How many end-points does a line segment $A B$ have? (s) None

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

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Solution

Column I Column II

(a) How many lines can be drawn through one given point? (q) Infinitely many

(b) How many lines can be drawn through two given points? (p) One only

(c) How many end-points does a line $\overset{\leftrightarrow}{A B}$ have? (s) None

(d) How many end-points does a line segment $A B$ have? (r) Two only

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Q. Match the following columns:

Column I	Column II
(a) A line segment has a	(p) Infinitely many
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(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) ........

Q. Match the following columns:

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
(c) Any line passing through the origin is	(r) x = k
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(a) ......,
(b) ......,
(c) ......,
(d) ......,

Q. (i) How many lines can be drawn through a given point?
(ii) How many lines can be drawn through two given points?
(iii) At how many points can two lines at the most intersect?
(iv) If A, B and C are three collinear points, name all the line segments determined by them.

Q. Match the following statements:

Column A		Column B
i	Line segment has	a	at a point
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Q. Match the following columns:

Column I	Column II
(a) The point A(−3, 0) lies on	(p) y-axis
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(a) ......,
(b) ......,
(c) ......,
(d) ......,

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