Question Details

Rohit realises that square is both a rhombus and a rectangle. He is at what stage of Van Hiele’s visual thinking?

Options

A

Level 0 (Recognition)

B

Level 1 (Analysis)

C

Level 2 (Relationships)

D

Level 3 (Deduction)

Show Answer

Correct Answer :

Option C

Level 2 (Relationships)

Solution :

The correct answer is Level 2 (Relationships).


Van Hiele's model describes the levels of geometric understanding through which students progress:


1. Level 0 (Visualization / Recognition): Students recognize geometric shapes by their appearance as a whole (e.g., recognizing a square because "it looks like a box").

2. Level 1 (Analysis): Students recognize and analyze shapes based on their properties (e.g., a square has four equal sides and four right angles).

3. Level 2 (Relationships / Informal Deduction): Students understand how different geometric shapes are related to one another based on their properties. At this stage, a student can perceive relationships between categories of shapes, such as recognizing that every square is both a rhombus (since all sides are equal) and a rectangle (since all internal angles are right angles).

4. Level 3 (Deduction): Students can construct formal proofs using axioms, definitions, and theorems.


Since Rohit understands the relational properties between squares, rhombuses, and rectangles, he is operating at Level 2 (Relationships) of Van Hiele's visual thinking hierarchy.

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