NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry
Fill in the Blanks

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

Question. 18

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).

Answer:

The distance of the image is same as that of the object from the mirror.

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Question. 19

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

Answer:

one.

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Question. 20

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

Answer:

equal.

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Question. 21

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

Answer:

unequal.

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Question. 22

If a line segment of length 5 cm is reflected in a line of symmetry (mirror), then its reflection (image) is a _____ of length _____.

Answer:

a Line segment of length 5 cm.

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Question. 23

If an angle of measure \(80^\circ\) is reflected in a line of symmetry, then the reflection is an _____ of measure _____.

Answer:

an Angle of measure \(80^\circ\).

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Question. 24

The image of a point lying on a line \(l\) with respect to the line of symmetry \(l\) lies on _____.

Answer:

l.

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Question. 25

In Fig. 9.10, if B is the image of the point A with respect to the line \(l\) and P is any point lying on \(l\), then the lengths of line segments PA and PB are _____.

Fig 9.10

Answer:

equal.

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Question. 26

The number of lines of symmetry in Fig. 9.11 is ____.

Fig 9.11

Answer:

5.

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Question. 27

The common properties in the two set-squares of a geometry box are that they have a _____ angle and they are of the shape of a _____.

Answer:

right angle and a triangle.

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Question. 28

The digits having only two lines of symmetry are _____ and _____.

Answer:

0 and 8.

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Question. 29

The digit having only one line of symmetry is ____.

Answer:

3.

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Question. 30

The number of digits having no line of symmetry is ____.

Answer:

7 (digits: 1, 2, 4, 5, 6, 7, 9).

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Question. 31

The number of capital letters of the English alphabets having only vertical line of symmetry is ____.

Answer:

7 (A, M, U, V, W, Y, T).

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Question. 32

The number of capital letters of the English alphabets having only horizontal line of symmetry is ____.

Answer:

5 (B, C, D, E, K).

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Question. 33

The number of capital letters of the English alphabets having both horizontal and vertical lines of symmetry is ____.

Answer:

4 (H, I, O, X).

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Question. 34

The number of capital letters of the English alphabets having no line of symmetry is ____.

Answer:

10 (F, G, J, L, N, P, Q, R, S, Z).

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Question. 35

The line of symmetry of a line segment is the _____ bisector of the line segment.

Answer:

perpendicular bisector.

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Question. 36

The number of lines of symmetry in a regular hexagon is ____.

Answer:

6.

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Question. 37

The number of lines of symmetry in a regular polygon of \(n\) sides is ____.

Answer:

n.

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Question. 38

A protractor has _____ line/lines of symmetry.

Answer:

one.

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Question. 39

A \(30^\circ\)–\(60^\circ\)–\(90^\circ\) set-square has _____ line/lines of symmetry.

Answer:

no.

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Question. 40

A \(45^\circ\)–\(45^\circ\)–\(90^\circ\) set-square has _____ line/lines of symmetry.

Answer:

one.

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Question. 41

A rhombus is symmetrical about _____.

Answer:

diagonals.

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Question. 42

A rectangle is symmetrical about the lines joining the _____ of the opposite sides.

Answer:

mid points.

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NCERT Exemplar Solutions Class 6 – Mathematics – Unit 9: Symmetry and Practical Geometry – Fill in the Blanks | Detailed Answers