Classify quadrilaterals

key notes :

🔷 💠 What is a Quadrilateral?

👉 A quadrilateral is a four-sided polygon.
It has:

• 🟢 4 sides
• 🔵 4 vertices (corners)
• 🟡 4 angles
• 🟥 The sum of interior angles is always 360°.

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🟪 Types of Quadrilaterals

1️⃣ Parallelogram ♾️

➡️ Opposite sides are parallel and equal.
➡️ Opposite angles are equal.
➡️ Diagonals bisect each other.
🧠 Example: Rectangle, Rhombus, Square

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2️⃣ Rectangle ⬜

✨ All angles are 90°.
✨ Opposite sides are equal and parallel.
✨ Diagonals are equal and bisect each other.
📏 Special Property: Every rectangle is a parallelogram.

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3️⃣ Rhombus 💎

💠 All sides are equal.
💠 Opposite sides are parallel.
💠 Diagonals bisect each other at right angles (90°).
💠 Opposite angles are equal.
📏 Special Property: Every rhombus is a parallelogram.

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4️⃣ Square 🟥

✅ All sides are equal.
✅ All angles are 90°.
✅ Diagonals are equal and bisect each other at right angles.
🌟 It’s both a rectangle and a rhombus!

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5️⃣ Trapezium (Trapezoid) 🔻

⬆️ Only one pair of opposite sides is parallel.
📐 Special Types:

• Isosceles Trapezium – Non-parallel sides are equal & angles are equal.
• Right Trapezium – Has one right angle.

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6️⃣ Kite 🪁

🎯 Two pairs of adjacent sides are equal.
🎯 One pair of opposite angles is equal.
🎯 Diagonals intersect at right angles, but do not bisect each other.

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🧩 Properties Summary Table

🔹 Type	🔸 Parallel Sides	🔸 Equal Sides	🔸 Equal Angles	🔸 Diagonals Property
Parallelogram	2 pairs	Opposite	Opposite	Bisect each other
Rectangle	2 pairs	Opposite	All 90°	Equal & bisect
Rhombus	2 pairs	All 4	Opposite	Bisect at 90°
Square	2 pairs	All 4	All 90°	Equal & bisect at 90°
Trapezium	1 pair	None	None	Unequal
Kite	None	Adjacent pairs	One pair	Intersect at 90°

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🌟 Fun Tip to Remember!

💡 “Some Rectangles Run Squarely Toward Kites”
(S → R → R → S → T → K) helps you recall Square, Rectangle, Rhombus, Square, Trapezium, Kite order!

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🧠 In Short:

✅ All squares are rectangles,
✅ All rectangles and rhombuses are parallelograms,
✅ But not all parallelograms are rectangles or squares!

Learn with an example

Let’s practice!