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First Four Postulates

Which of the ...

Question

Which of the following is a true statement?
(a) Only a unique line can be drawn through a given point.
(b) Infinitely many lines can be drawn through two given points.
(c) If two circles are equal, then their radii are equal.
(d) A line has a definite length.

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Solution

(c) If two circles are equal, then their radii are equal.

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Similar questions

Which of the following is a true statement ?

(a) Only a unique line can be drawn to pass through a given point.

(b) Infinitely many lines can be drawn to pass through two given points.

(c) If two circles are equal,then their radii are equal.

(d) A line has a definite length.

Q. Which of the following is a false statement?
(a) An infinite number of lines can be drawn through a given point.
(b) A unique line can be drawn through two given points.
(c) Ray

\underset{A B}{\to} = ray \underset{B A}{\to}

.
(d) A ray has one end-point.

Q. Which of the following statements are true and which are false? Give reasons for your answers.

(i)

Only one line can pass through a single point.

(i i)

There are an infinite number of lines which pass through two distinct points.

(i i i)

A line can be produced indefinitely on both sides.

(i v)

If two circles are equal, then their radii are equal.

(v)

A B = P Q

P Q = X Y

A B = X Y

.

Q. 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) .......,

Q. Which of the following statements is false?
(a) Through a given point, only one straight line can be drawn.
(b) Through two given points, it is possible to draw one and only one straight line.
(c) Two straight lines can intersect at only one point.
(d) A line segment can be produced to any desired length.

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