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NCERT Exemplar · Class 6 · Maths

Chapter 9: Symmetry and Practical Geometry

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

Questions

30 questions
Q11Written answer

The number of lines of symmetry in a ruler is

(A) 0 (B) 1 (C) 2 (D) 4

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Worked solution

Solution:-

(C) 2

We know that the ruler has the shape of a rectangle,

So, the number of lines of symmetry in a ruler is 2.

Q12Written answer

The number of lines of symmetry in a divider is

(A) 0 (B) 1 (C) 2 (D) 3

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Worked solution

Solution:-

(B) 1

The number of lines of symmetry in a divider is 1.

Q13Written answer

The number of lines of symmetry in compasses is

(A) 0 (B) 1 (C) 2 (D) 3

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Worked solution

Solution:-

(A) 0

NCERT Exemplar Class 6 Maths Solutions Chapter 9 Image 6

Therefore, there are no lines of symmetry in a compass.

Q14Written answer

The number of lines of symmetry in a protractor is

(A) 0 (B) 1 (C) 2 (D) more than 2

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Worked solution

Solution:-

(B) 1

NCERT Exemplar Class 6 Maths Solutions Chapter 9 Image 7

Therefore, there is only one line of symmetry in a protractor.

Q15Written answer

The number of lines of symmetry in a 45o – 45o – 90o set square is

(A) 0 (B) 1 (C) 2 (D) 3

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Worked solution

Solution:-

(B) 1

From the question, it is given that the measurement of an isosceles triangle.

So, the number of lines of symmetry in the given set-square is 1.

NCERT Exemplar Class 6 Maths Solutions Chapter 9 Image 8

Q16Written answer

The number of lines of symmetry in a 30o – 60o – 90o set square is

(A) 0 (B) 1 (C) 2 (D) 3

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Worked solution

Solution:-

(A) 0

From the question, it is given that measurement of a scalene triangle.

So, the number of lines of symmetry in the given set-square is 0.

Q17Written answer

The instrument in the geometry box having the shape of a triangle is called a

(A) Protractor (B) Compasses

(C) Divider (D) Set-square

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Worked solution

Solution:-

(D) Set-square

In questions 18 to 42, fill in the blanks to make the statements true.

Q18Written answer

The distance of the image of a point (or an object) from the line of symmetry (mirror) is ________ as that of the point (object) from the line (mirror).

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Solution:-

The distance of the image of a point (or an object) from the line of symmetry (mirror) is the same as that of the point (object) from the line (mirror).

Q19Written answer

The number of lines of symmetry in a picture of the Taj Mahal is _______.

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Worked solution

Solution:-

The number of lines of symmetry in a picture of the Taj Mahal is one.

Q20Written answer

The number of lines of symmetry in a rectangle and a rhombus are ______ (equal/unequal).

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Worked solution

Solution:-

The number of lines of symmetry in a rectangle and a rhombus are equal.