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NCERT Exemplar · Class 9 · Maths

Chapter 5: Introduction to Euclid’s Geometry

Practice each question, then open the answer or worked solution.

Exercise 5.1

Textbook page 46 · 11 questions
Q1Written answer

The three steps from solids to points are:

(A) Solids – surfaces – lines – points

(B) Solids – lines – surfaces – points

(C) Lines – points – surfaces – solids

(D) Lines – surfaces – points – solids

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Worked solution

(A) Solids – surfaces – lines – points

Explanation:

The three steps from solids to point are solids-surfaces-lines-points.

Hence, option (A) is the correct answer.

Q2Written answer

The number of dimensions, a solid has:

(A) 1

(B) 2

(C) 3

(D) 0

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Worked solution

(C) 3

Explanation:

The number of dimensions, a solid has is 3.

Hence, option (C) is the correct answer.

Q3Written answer

The number of dimensions, a surface has:

(A) 1

(B) 2

(C) 3

(D) 0

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Worked solution

(B) 2

Explanation:

The number of dimensions, a surface has is 2.

Hence, option (B) is the correct answer.

Q4Written answer

The number of dimension, a point has:

(A) 0

(B) 1

(C) 2

(D) 3

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Worked solution

(A) 0

Explanation:

The number of dimension, a point has is 0.

Hence, option (A) is the correct answer.

Q5Written answer

Euclid divided his famous treatise “The Elements” into:

(A) 13 chapters

(B) 12 chapters

(C) 11 chapters

(D) 9 chapters

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Worked solution

(A) 13 chapters

Explanation:

Euclid divided his famous treatise “The Elements” into 13 chapters.

Hence, option (A) is the correct answer.

Q6Written answer

The total number of propositions in the Elements are:

(A) 465

(B) 460

(C) 13

(D) 55

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Worked solution

(A) 465

Explanation:

Proportions or theorems are the statements that can be proved. Euclid deduced 465 proportions in a logical chain using his axioms, postulates, definitions and theorems.

Hence, option (A) is the correct answer.

Q7Written answer

Boundaries of solids are:

(A) Surfaces

(B) Curves

(C) Lines

(D) Points

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Worked solution

(A) Surfaces

Explanation:

The boundaries of solids are surfaces.

Hence, option (A) is the correct answer.

Q8Written answer

Boundaries of surfaces are:

(A) Surfaces

(B) Curves

(C) Lines

(D) Points

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Worked solution

(B) Curves

Explanation:

The boundaries of surfaces are curves.

Hence, option (B) is the correct answer.

Q9Written answer

In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio

(A) 1 : 3 : 4

(B) 4 : 2 : 1

(C) 4 : 4 : 1

(D) 4 : 3 : 2

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Worked solution

(B) 4 : 2 : 1

Explanation:

In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio,

Length: breadth: thickness = 4:2:1

Hence, option (B) is the correct answer.

Q10Multiple choice

A pyramid is a solid figure, the base of which is

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Correct option: D
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Worked solution

(D) Any polygon

Explanation:

A pyramid is solid figure, the base of which can be a triangle, a square or some other polygon.

Hence, option (D) is the correct answer.