Geometric reasoning

Geometric reasoning

1. Angles on parallel lines

   • Corresponding angles
   • Co-interior angles
   • Alternate angles

2. Congruent triangles

   • SSS RHS SAS AAS
   • Formal deductive proog

3. Similar triangles

   • Ratios of Corresponding Sides
     • Scale Factor
     • Scale Ratio
   • Conditions of similarity
     • AA
     • RHS
     • SSS
     • SAS

4. Triangles

   • Angle sum
   • Exterior angle
   • Names
     • Side Based names
     • Angle based names

5. Angle Properties

   • Complementary Angles
   • Supplementary Angles
   • Revolution
   • Vertical Angles

6. Quadrilaterals

   • Parallelograms
     • Rectangle
       • square
     • rhombus
       • square
   • Trapezium
   • Kite
   • Angle sum

7. Polygons

   • angle sum
     • For an n-sided polygon,  the angle sum s = 180(n-2)

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