📐 Geometry Tutorial

Explore shapes, areas, and spatial relationships

Introduction to Geometry

What is Geometry?

Geometry is the study of shapes, sizes, angles, and positions. It's all around us - from the rectangle of your screen to the circle of a wheel!


Key Concepts:

  • Shapes - 2D figures like squares, circles, triangles
  • Perimeter - The distance around a shape
  • Area - The space inside a shape
  • Angles - The space between two lines that meet
  • Volume - The space inside a 3D shape

Geometry in Real Life:

🏠 Architecture: Houses use rectangles, triangles for roofs, and circles for windows

🎨 Art: Artists use geometric shapes to create patterns and designs

🏈 Sports: Soccer balls use pentagons and hexagons, basketball courts are rectangles

🌍 Nature: Honeycomb hexagons, flower petals in circles, snowflake symmetry

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Basic 2D Shapes

Let's explore the fundamental shapes that form the building blocks of geometry!

Square

4 equal sides, 4 right angles

Rectangle

4 sides, opposite sides equal

Triangle

3 sides, 3 angles

Circle

Perfect round shape

Shape Recognition

How many sides does a triangle have?


Area and Perimeter

Perimeter: The distance around the outside of a shape

Area: The space inside a shape

Rectangle Formulas:

Perimeter = 2 × (length + width)
Area = length × width

Example:

Rectangle: length = 6, width = 4

Perimeter = 2 × (6 + 4) = 2 × 10 = 20

Area = 6 × 4 = 24

Calculate Area

Rectangle with length = 8 and width = 5

What is the area?


Understanding Angles

An angle is formed when two lines meet. We measure angles in degrees (°).

Types of Angles:

  • Right Angle: Exactly 90° (like a corner of a square)
  • Acute Angle: Less than 90° (sharp angle)
  • Obtuse Angle: Greater than 90° but less than 180°
  • Straight Angle: Exactly 180° (straight line)

Angle Identification

What type of angle is shown above?



3D Shapes (Solids)

3D shapes have length, width, and height. They take up space and have volume.

Cube

6 square faces, all equal

Cylinder

2 circular bases, curved side

Pyramid

Square base, triangular faces

Sphere

Perfectly round, like a ball

Volume Calculation

A cube has sides of length 4 units.

Volume of cube = side³

What is the volume?


🎯 Geometry Practice Test

Test your geometry knowledge with mixed problems!

Question 1 of 5

Ready? Click 'Start Test' to begin!