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

MULTIPLE CHOICE QUESTIONS

Question 1:

In ancient India, the shapes of altars used for household rituals were
(a) squares and rectangles
(b) squares and circles
(c) triangles and rectangles
(d) trapeziums and pyramids

Answer 1:

(b) squares and circles

Question 2:

In ancient India, altars with combination of shapes like rectangles, triangles and trapeziums were used for
(a) household rituals
(b) public rituals
(c) both (a) and (b)
(d) none of (a), (b) and (c)

Answer 2:

The construction of altars (or vedis) and fireplaces for performining vedic rituals resulted in the origin of the geometry of vedic period. Square and circular altars were used for household rituals whereas the altars with combination of shapes like rectangles, triangles and trapezium were used for public rituals.

Hence, the correct answer is option (b).

Question 3:

The number of interwoven isosceles triangles in a Sriyantra is
(a) five
(b) seven
(c) nine
(d) eleven

Answer 3:

Question 4:

In Indus Valley Civilisation (about BC 3000), the bricks used for construction work were having dimensions in the ratio of
(a) 5 : 3 : 2
(b) 4 : 2 : 1
(c) 4 : 3 : 2
(d) 6 : 4 : 2

Answer 4:

(b) 4 : 2 : 1

Question 5:

Into how many chapters was the famous treatise, 'The Elements' divided by Euclid?
(a) 13
(b) 12
(c) 11
(d) 9

Answer 5:

The famous treatise, 'The Elements' by Euclid is divided into 13 chapters.

Hence, the correct answer is option (a).

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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