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Question

Which of the following figures exhibits both line symmetry and rotational symmetry?

A
Equilateral triangle
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B
Isosceles triangle
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C
Scalene triangle
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D
None of the above
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Solution

The correct option is A Equilateral triangle
An equilateral triangle has 3 lines of symmetry.
An isosceles triangle has 1 line of symmetry.
A scalene triangle has no line of symmetry.
Only an equilateral triangle exhibits rotational symmetry as it can be rotated by an angle of 120 to get the same exact shape.
Thus, from the figures given, only an equilateral triangle exhibits both line and rotational symmetry.

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