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CTET 7 Feb 2026 Paper 1, Question 57

Topic: Geometry

Q57

According to Van Hiele’s levels of development of geometrical thinking, which of the following represents level–2 (relationships)?

  1. (1) A child cannot classify various shapes that look similar.
  2. (2) A child identifies and classifies shapes based only on their size or orientation.
  3. (3) A child can informally deduce general properties of a given geometrical shape and is able to see the linkages among these properties.Correct answer
  4. (4) A student can follow the deductive axiomatic systems of geometry.

Solution.

CBSE answer: (3)

Answer: (3) Informally deduces properties and sees links among them

  1. Van Hiele levels (counted from 0): visualisation, analysis, informal deduction (relationships), deduction, rigour.
  2. At level 2 a child relates properties, for example sees that every square is a rectangle, using informal reasoning.
  3. Option (2) describes level 0, where shapes are judged by how they look.
  4. Option (4), working with axiomatic deductive systems, belongs to the higher levels.