nrop: RS AGGARWAL CLASS 9 CHAPTER 6 INTRODUCTION TO EUCLID'S GEOMETRY MCQ

MULTIPLE CHOICE QUESTIONS

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Question 6:

Euclid belongs to the country
(a) India
(b) Greece
(c) Japan
(d) Egypt

Answer 6:

(b) Greece

Question 7:

Thales belongs to the country
(a) India
(b) Egypt
(c) Greece
(d) Babylonia

Answer 7:

Question 8:

Pythagoras was a student of
(i) Euclid
(ii) Thales
(iii) Archimedes
(iv) Bhaskara

Answer 8:

(ii) Thales

Question 9:

Which of the following needs a proof?
(a) axiom
(b) postulate
(c) definition
(d) theorem

Answer 9:

(d) theorem

Question 10:

The statement that 'the lines are parallel if they do not intersect' is in the form of
(a) a definition
(b) an axiom
(c) a postulate
(d) a theorem

Answer 10:

(a) a definition

Question 11:

Euclid stated that 'all right angles are equal to each other', in the form of
(a) a definition
(b) an axiom
(c) a postulate
(d) a proof

Answer 11:

(b) an axiom

Question 12:

A pyramid is a solid figure, whose base is
(a) only a triangle
(b) only a square
(c) only a rectangle
(d) any polygon

Answer 12:

(d) any polygon

Question 13:

The side faces of a pyramid are
(a) triangles
(b) squares
(c) trapeziums
(d) polygons

Answer 13:

(a) triangles

Question 14:

The number of dimensions of a solid are
(a) 1
(b) 2
(c) 3
(d) 5

Answer 14:

A solid shape has length, breadth and height. Thus, a solid has three dimensions.

Hence, the correct answer is option (c).

Question 15:

The number of dimensions of a surface are
(a) 1
(b) 2
(c) 3
(d) 0

Answer 15:

A plane surface has length and breadth, but it has no height. Thus, a plane surface has two dimensions.

Hence, the correct answer is option (b).

Question 16:

How many dimensions does a point have
(a) 0
(b) 1
(c) 2
(d) 3

Answer 16:

A point is a fine dot which represents an exact position. It has no length, no breadth and no height. Thus, a point has no dimension or a point has zero dimension.

Hence, the correct answer is option (a).

Question 17:

Boundaries of solids are
(a) lines
(b) curves
(c) surfaces
(d) none of these

Answer 17:

Question 18:

Boundaries of surfaces are
(a) lines
(b) curves
(c) polygons
(d) none of these

Answer 18:

(b) curves

Question 19:

The number of planes passing through 3 non-collinear points is
(a) 4
(b) 3
(c) 2
(d) 1

Answer 19:

(d) 1

Question 20:

Axioms are assumed
(a) definitions
(b) theorems
(c) universal truths specific to geometry
(d) universal truths in all branches of mathematics

Answer 20:

(d) universal truths in all branches of mathematics

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Question 21:

Which of the following is a true statement?
(a) The floor and a wall of a room are parallel planes.
(b) The ceiling and a wall of a room are parallel planes.
(c) The floor and the ceiling of a room are parallel planes.
(d) Two adjacent walls of a room are parallel planes.

Answer 21:

Question 22:

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.

Answer 22:

Question 23:

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 $\underset{A B}{\to} = ray \underset{B A}{\to}$ $\underset{A B}{\to} = ray \underset{B A}{\to}$ .
(d) A ray has one end-point.

Answer 23:

Question 24:

A point C is called the mid-point of a line segment $A B$ $A B$ if
(a) C is an interior point of AB
(b) AC = CB
(c) C is an interior point of AB, such that $A C = C B$ $A C = C B$
(d) AC + CB = AB

Answer 24:

Question 25:

A point C is said to lie between the points A and B if
(a) AC = CB
(b) AC + CB = AB
(c) points A, C and B are collinear
(d) None of these

Answer 25:

Question 26:

Euclid's which axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z?
(a) first
(b) second
(c) third
(d) fourth

Answer 26:

Euclid's second axiom states that if equals be added to equals, the wholes are equal.

x + y = 15

Adding z to both sides, we get

x + y + z = 15 + z

Thus, Euclid's second axiom illustrates the statement that when x + y = 15, then x + y + z = 15 + z.

Hence, the correct answer is option (b).

Question 27:

A is of the same age as B and C is of the same age as B. Euclid's which axiom illustrates the relative ages of A and C?
(a) First axiom
(b) second axiom
(c) Third axiom
(d) Fourth axiom

Answer 27:

Euclid's first axiom states that the things which are equal to the same thing are equal to one another.

It is given that, the age of A is equal to the age of B and the age of C is equal to the age of B.

Using Euclid's first axiom, we conclude that the age of A is equal to the age of C.

Thus, Euclid's first axiom illustrates the relative ages of A and C.

Hence, the correct answer is option (a).

RS AGGARWAL CLASS 9 CHAPTER 6 INTRODUCTION TO EUCLID'S GEOMETRY MCQ