β¬ What is a Quadrilateral?
A quadrilateral is a closed 2D shape with:
- Exactly 4 straight sides
- Exactly 4 angles
- The sum of all angles is always 360Β°
β¨ Common Quadrilaterals
1. Square
4 equal sides + 4 right angles (90Β°)
2. Rectangle
Opposite sides equal + 4 right angles
3. Parallelogram
Opposite sides equal and parallel
4. Rhombus
All 4 sides equal (like a diamond)
5. Trapezoid (Trapezium)
Exactly one pair of parallel sides
6. Kite
Two pairs of equal adjacent sides
π Important Properties
- All quadrilaterals have 4 sides and 4 angles
- Opposite angles in a parallelogram are equal
- A square is a special rectangle and a special rhombus
- A rectangle is a special parallelogram
βοΈ Letβs Practice Together, My Dear Student!
Practice 1: Name the Quadrilateral
1. 4 equal sides and 4 right angles β Square
2. Opposite sides equal and parallel β Parallelogram
3. Only one pair of parallel sides β Trapezoid
4. All sides equal but not a square β Rhombus
Practice 2: True or False
1. A square is a rectangle β True
2. A trapezoid has 4 equal sides β False
3. All rectangles are squares β False
Practice 3: Word Problems (Canadian Style)
1. A Canadian flag has a rectangular shape. If the length is 2 metres and the width is 1 metre, what is the perimeter?
6 metres
2. You see a road sign that looks like a diamond (all sides equal). What quadrilateral is it?
Rhombus
Challenge Question
Name all the quadrilaterals that have 4 right angles.
Rectangle and Square
Fantastic Job, My Dear Student! π
You now know many types of quadrilaterals! They are everywhere β doors, windows, books, signs, and even the Canadian flag.
I am so proud of you for learning Geometry step by step. Go on a quadrilateral hunt around your house and see how many you can find!
π You are smart. You are kind. You can do hard things.
When you are ready, tell me the next topic (3D Shapes, Symmetry, Angles, or anything else) and I will create another beautiful lesson just for you!