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Which of the figures given below have both line and rotational symmetry?

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Question

Which of the figures given below have both line and rotational symmetry?

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MCQ
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Solution

(a) and (c)

Explanation:

Only have both line and rotational symmetry.

In the given figure, line of symmetry will be shown as


Also, rotational symmetry will be shown as


`360^circ/8` = 45°, i.e. rotational angle is equal to 45°.

In the given figure, line of symmetry will be shown as


Also, rotational symmetry will be shown as

`360^circ/10` = 36°, i.e. rotational angle is equal to 36°.

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Chapter 12: Practical Geometry Symmetry and Visualising Solid Shapes - Exercise [Page 382]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 12 Practical Geometry Symmetry and Visualising Solid Shapes
Exercise | Q 122. | Page 382

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Fill in the blanks:

Shape Centre of Rotation Order of Rotation Angle of Rotation
Square      
Rectangle      
Rhombus      
Equilateral Triangle      
Regular Hexagon      
Circle      
Semi-circle      

Look at the following shapes:

c) Try and change the shapes below in such a way that they look the same on the `1/3` turn.


The number of lines of symmetry in the figure given below is ______.


______ and ______ are the capital letters of English alphabets that have one line of symmetry but they interchange to each other when rotated through 180°.


In the following figure, write the number of lines of symmetry and order of rotational symmetry.

[Hint: Consider these as 2-D figures not as 3-D objects.]


In the following figure, write the number of lines of symmetry and order of rotational symmetry.

[Hint: Consider these as 2-D figures not as 3-D objects.]


In the following figure, write the number of lines of symmetry and order of rotational symmetry.


[Hint: Consider these as 2-D figures not as 3-D objects.]


In the following figure, write the number of lines of symmetry and order of rotational symmetry.


[Hint: Consider these as 2-D figures not as 3-D objects.]


In the following figure, write the number of lines of symmetry and order of rotational symmetry.


[Hint: Consider these as 2-D figures not as 3-D objects.]


In the following figure, write the number of lines of symmetry and order of rotational symmetry.


[Hint: Consider these as 2-D figures not as 3-D objects.]


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