Concept

A quadrilateral is a four-sided closed figure with four vertices and four angles. The sum of its interior angles is always 360°. Quadrilaterals are classified based on the properties of their sides, angles, and diagonals.

Types of Quadrilaterals

🔹 Parallelogram

• Opposite sides are parallel and equal.
• Opposite angles are equal.
• Diagonals bisect each other.

🔹 Rectangle

• Opposite sides are parallel and equal.
• All angles are 90°.
• Diagonals are equal and bisect each other.

🔹 Square

• All sides are equal.
• All angles are 90°.
• Diagonals are equal and bisect each other at 90°.

🔹 Rhombus

• All sides are equal.
• Opposite angles are equal.
• Diagonals bisect each other at 90°.

🔹 Trapezium (Trapezoid)

• One pair of opposite sides is parallel.
• Non-parallel sides may or may not be equal.

🔹 Kite

• Two pairs of adjacent sides are equal.
• One pair of opposite angles is equal.
• One diagonal bisects the other at 90°.

Key Takeaways

✅ All quadrilaterals have four sides and an angle sum of 360°.
✅ Special quadrilaterals have unique properties based on their sides and angles.
✅ A square is a special type of rectangle and rhombus.