Geometry

Table of Contents

• How to use the geogebra tools

  • Using the angle tool
  • Using the distance and length tool

• Triangles

  • Properties of an equilateral triangle
  • Properties of an isosceles triangle
  • Properties of a right angled triangle
  • Properties of a scalene triangle

• Quadrilaterals

  • Properties of a rectangle
  • Properties of a square
  • Properties of a rhombus
  • Properties of a parallelogram
  • Properties of a trapezium
  • Properties of a kite

• Interior and exterior angles of polygons

  • Interior angles of polygons
  • Exterior angles of polygons

• Naming Angles

  • Types of angles
  • Denoting angles

• Angle Rules

  • Basic rules
  • Vertically opposite angles

• Angle rules for parallel lines

  • Corresponding Angles on Parallel Lines
  • Alternate Angles on Parallel Lines
  • Co-interior Angles on Parallel Lines

• Pythagoras

  • Pythagoras

• Trigonometry relationships

  • Labelling the sides of a right angle triangle
  • Introduction to Sine
  • Introduction to Cosine & Tangent
  • "Soh Cah Toa"
  • Using Sine to find a side
  • Using Cosine to find a side
  • Using Tangent to find a side
  • Using sine to find an angle
  • Using cosine to find an angle
  • Practice using trigonometry ratios

• Circle Theorems

  • Circle properties
  • Angle at the centre rule:
  • Angles on the same arc rule:
  • Angle in a semi-circle rule:
  • Angles in a cyclic quadrilateral:
  • Tangent angle:
  • Practice of circle theorems: