Properties of squares and rectangles

key notes :

🔶 🟨 SQUARE – Properties

A square is a special type of rectangle and rhombus. Let’s explore its amazing properties! 💎

1️⃣ All sides are equal 👉 AB = BC = CD = DA
2️⃣ All angles are right angles (90° each) ➡️ ⬜
3️⃣ Opposite sides are parallel ➡️ AB ∥ CD, AD ∥ BC
4️⃣ Diagonals are equal and bisect each other at right angles (90°) ➗
5️⃣ Each diagonal bisects the opposite angles 🔺
6️⃣ Diagonals divide the square into 4 congruent right-angled triangles ✂️
7️⃣ Perimeter = 4 × side 📏
8️⃣ Area = side² 🧮
9️⃣ Symmetry:

• 4 lines of symmetry ✴️
• Rotational symmetry of order 4 🔄

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🔷 🟦 RECTANGLE – Properties

A rectangle is a parallelogram with right angles. Let’s see what makes it special! 📐

1️⃣ Opposite sides are equal and parallel ➡️ AB ∥ CD, AD ∥ BC
2️⃣ All angles are 90° (Right angles) ⬜
3️⃣ Diagonals are equal ➗
4️⃣ Diagonals bisect each other (but not at 90°) ❌↕️
5️⃣ Opposite sides are congruent (same length) 📏
6️⃣ Perimeter = 2 × (length + breadth) 🔲
7️⃣ Area = length × breadth 🧮
8️⃣ Symmetry:

• 2 lines of symmetry ✳️
• Rotational symmetry of order 2 🔁

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⚖️ 🟩 Difference Between Square and Rectangle

Property 🧩	Square 🟨	Rectangle 🟦
Sides	All sides equal	Opposite sides equal
Diagonals	Equal and perpendicular	Equal but not perpendicular
Angles	All 90°	All 90°
Lines of Symmetry	4	2
Example	Chessboard cell ♟️	Book cover 📖

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💡 Remember:

Every square is a rectangle ✅ but not every rectangle is a square ❌

Learn with an example

Let’s practice!