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

The correct option is Level 2 (Relationships).

Explanation:

Van Hiele's theory of geometric thinking outlines five sequential levels through which students progress to understand geometry:

1. Level 0 (Visualization / Recognition): Students recognize shapes based on their overall visual appearance as a whole (e.g., "It is a square because it looks like a box").

2. Level 1 (Analysis): Students recognize shapes based on their properties (e.g., "A square has four equal sides and four right angles"). However, they consider these properties independently and do not yet understand the relationships between different shapes.

3. Level 2 (Relationships / Informal Deduction): Students begin to understand the connections and relationships between different shapes and their properties. They can establish class inclusions, such as recognizing that a square is a special type of rhombus (since it has 4 equal sides) as well as a special type of rectangle (since it has 4 right angles).

4. Level 3 (Deduction): Students understand formal mathematical proofs, axioms, and theorems.

5. Level 4 (Rigor): Students can work with abstract deductive systems and compare different non-Euclidean geometries.

Since Rohit recognizes that a square shares properties with both a rhombus and a rectangle and can classify a square as both, he is demonstrating an understanding of the relationships between geometric shapes. Therefore, he is at Level 2 (Relationships).