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Question

Which of the following figures has/have both line symmetry and rotational symmetry?


A

Only i

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B

i, ii

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C

i, ii, iii and iv

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D

i, ii and iv

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Solution

The correct options are
A

Only i


B

i, ii


D

i, ii and iv


Square - 4 lines of symmetry; order of rotational symmetry: 4

Rectangle - 2 lines of symmetry; order of rotational symmetry: 2

Isosceles triangle - 1 line of symmetry; order of rotational symmetry: 1

Only a regular pentagon has line symmetry and rotational symmetry. In general, pentagons do not have line symmetry and rotational symmetry.


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