If all the sides of a quadrilateral are equal, then it is:

Question

If all the sides of a quadrilateral are equal, then it is:

1. A. Parallelogram
2. B. Rectangle
3. C. Square
4. D. Rhombus (Correct answer)

Correct Answer

Option D — Rhombus

Detailed Solution & Explanation

The correct answer is Rhombus.

Key Points

• A quadrilateral with all four sides equal is a rhombus.
• A square also has four equal sides, but additionally requires all angles to be 90° — so it is a special case, not the general answer.
• A rectangle has equal opposite sides, and a parallelogram only equal opposite sides and parallel pairs.

Additional Information

• The hierarchy is worth holding: quadrilateral → parallelogram → (rhombus and rectangle) → square. Every square is a rhombus, but not every rhombus is a square.
• A rhombus's diagonals bisect each other at right angles and bisect the vertex angles.
• Its area can be found either as base × height or as ½ × d₁ × d₂ using the diagonals.