Rotational Symmetry: Definition, Types, Examples | Class 5
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Symmetry

Rotational Symmetry for Class 5 Math

In rotational symmetry, a figure looks like same after a few rotations. Here students will learn about the order of rotational symmetry.

In this learning concept, the students will learn to

  • Classify rotational symmetry examples.
  • Identify the order of rotational symmetry of the circle.
  • Evaluate the order of rotational symmetry of the triangle.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the rotational symmetry worksheet for class 5 and check the solutions for the rotational symmetry questions provided in PDF format.

Order of Rotational Symmetry:

  • The object is said to have a rotational symmetry if after rotation the object remains the same.
  • When an object is rotated, the size and the shape of the object do not change.
  • The object can be rotated either in a clockwise or in an anticlockwise direction.
  • The clockwise direction is in the direction of the hands of the clock.
  • The anticlockwise is in the opposite direction of the hands of the clock.
Rotational symmetry

Rotational Symmetry Examples:

Quarter turn Rotation

  • A quarter turn (1/4) is a rotation of one right angle.
  • One right angle is equal to 90°.
    right angle
  • The image below describes a quarter-turn in a clockwise and anticlockwise direction.
    Rotational symmetry of circle
  • A figure is said to have a quarter turn symmetry if

    Examples :

    Rotational symmetry of triangle

Half a turn Rotation

  • Half a turn (1/2) is a rotation of two right angles.
  • One right angle is equal to 90°. Therefore, two right angle is equal to 90° + 90° = 180°.
    Right angle
  • The image below describes half a turn in a clockwise and anticlockwise direction.
    Rotational symmetry of circle

    Examples :

    Rotational symmetry of triangle

Three quarter turn Rotation

  • Three quarter (3/4) turn is a rotation of three right angles.
  • One right angle is equal to 90°. Therefore, three right angle is equal to 90° + 90° + 90° = 270°.
    Right angles
  • The image below describes a three-quarter turn in a clockwise and anticlockwise direction.
    Rotational symmetry of circle

Examples :

Rotational symmetry of triangle

Did you know?

Did you know about rotational symmetry
Mind map of rotational symmetry
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