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CTET 7 Feb 2026 Paper 1, Question 42

Topic: Geometry

Q42

Which of the following letters has a rotational symmetry but no line symmetry?

  1. (1) X
  2. (2) M
  3. (3) O
  4. (4) ZCorrect answer

Solution.

CBSE answer: (4)

Answer: (4) Z

  1. Z looks the same after a half turn (180∘180^\circ), so it has rotational symmetry.
  2. No mirror line can fold Z onto itself, so it has no line symmetry.
  3. X and O have both kinds of symmetry; M has a vertical mirror line but no rotational symmetry.

Trap: X also turns onto itself, but it has line symmetry too, so it fails the 'no line symmetry' part.