Order of symmetry

Can you figure out the angle of rotation and the order of rotational symmetry for the letters N and Z?

• For the letter N:

  • Angle of rotation: 180 degrees

  • Order of rotational symmetry: 2

• For the letter Z:

  • Angle of rotation: 180 degrees

  • Order of rotational symmetry: 2

• For the letter N:

  • Angle of rotation: 90 degrees

  • Order of rotational symmetry: 4

• For the letter Z:

  • Angle of rotation: 45 degrees

  • Order of rotational symmetry: 8

Can you figure out the angle of rotation and the order of rotational symmetry for the letters H and X?

• For the letter H:

  • Angle of rotation: 90 degrees

  • Order of rotational symmetry: 4

• For the letter X:

  • Angle of rotation: 45 degrees

  • Order of rotational symmetry: 8

• For the letter H:

  • Angle of rotation: 180 degrees

  • Order of rotational symmetry: 2

• For the letter X:

  • Angle of rotation: 180 degrees

  • Order of rotational symmetry: 2

  
  

Which of these capital letters of the English alphabet have both rotational symmetry and reflection symmetry?

• M

• Y

• A

• H

Which of the following shapes has rotational symmetry but NOT reflection symmetry?

• B

• C

• A

• K

Which of the following shapes has reflection symmetry but not rotational symmetry?

• M

• A

• S

• W

Write three capital letters in the English alphabet which doesn't have Rotational symmetry or Reflection symmetry.

Sketch a wheel with eight spikes evenly distributed around its circumference, each spaced 45 degrees apart. Label the spikes with numbers 1 to 8.

A circular wheel has eight spikes. What is its angle of rotation and the order of rotational symmetry?

• Angle of rotation: 30 degrees Order of rotational symmetry: 12

• Angle of rotation: 90 degrees Order of rotational symmetry: 4

• Angle of rotation: 60 degrees Order of rotational symmetry: 6

• Angle of rotation: 45 degrees Order of rotational symmetry: 8

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