MEDIUM
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Name the type of symmetry from the given statements.

An object can be folded along a line so that both sides match exactly.

An object can be rotated by a certain angle around a central point and still appear unchanged.

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Important Questions on Symmetry

HARD

In the following figure, If the number of lines of symmetry is m and order of rotational symmetry is n, then find m+n.

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MEDIUM
Find the number of lines of symmetry and the order of rotational symmetry in a trapezium.
MEDIUM

The quadrilateral that has 4 lines of symmetry, has point symmetry and also order 4 rotational symmetry is a _____.

EASY
A quadrilateral which has both line and rotational symmetry of order more than 2 is
MEDIUM

Which of the following is true for the given figure.?

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HARD

 In the following figure,if the number of lines of symmetry is m and order of rotational symmetry is n, then find m+n.

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MEDIUM
Name any two figures that have both line symmetry and rotational symmetry:
EASY
Which of the following is/are point symmetric?
HARD

In a regular polygon, the number of lines of symmetry is equal to the order of rotational symmetry.

MEDIUM
After rotating by 60° about a centre, a figure looks exactly the same at its original position. At what other angle will this happen for the figure?
HARD

Check if the figure has both line and rotational symmetry.

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HARD

 In the following figure, If the number of lines of symmetry is m and order of rotational symmetry is n then find m+n.

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MEDIUM
English alphabet Letter Line Symmetry   Number of Lines of Symmetry Rotational Symmetry Order of Rotational Symmetry 
Z Nil 0 Yes 2
S _____ _____ _____ _____
H Yes _____ Yes _____
O Yes _____ Yes _____
E Yes _____ _____ _____
N _____ _____ Yes _____
C _____ _____ _____ _____
EASY
The figure that has rotational symmetry but no line symmetry is
MEDIUM
Give an example of a figure that has a line of symmetry but does not have rotational symmetry.
MEDIUM

Some of the shapes also have rotational symmetry. Colour the shapes in red colour that have rotational symmetry.

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MEDIUM
State 'T' for true and 'F' for false.
(i) Number 0 has both rotational and line of symmetry
(ii) A regular polygon of n sides has 2n lines of symmetry
(iii) A square has four lines of symmetry and rotational symmetry of erder 2
(iv) A circle has finite number of lines of symmetry.