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Question
Identify a quadrilateral with a rotational symmetry of order more than 1 but does not have a line symmetry.
Identify a quadrilateral with a rotational symmetry of order more than 1 but does not have a line symmetry.
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Solution
The correct option is A Parallelogram
- A figure is said to have a line of symmetry or linear symmetry if there exists a line which divides the figure into two identical halves such that they coincide when folded along this line.
- A shape has rotational symmetry when it still looks the same after a rotation of less than one full turn.
The parallelogram is a quadrilateral which has no line of symmetry but it has a rotational symmetry of order 2.
Rotational Symmetry of a parallelogram is shown below:
We already know that kite, Rhombus, and Square have line symmetry.
Parallelogram
- A figure is said to have a line of symmetry or linear symmetry if there exists a line which divides the figure into two identical halves such that they coincide when folded along this line.
- A shape has rotational symmetry when it still looks the same after a rotation of less than one full turn.
The parallelogram is a quadrilateral which has no line of symmetry but it has a rotational symmetry of order 2.
Rotational Symmetry of a parallelogram is shown below:
We already know that kite, Rhombus, and Square have line symmetry.
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