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Geometry

Geometry is all about shapes and their properties.

If you like playing with objects, or like drawing, then geometry is for you!

Geometry can be divided into:

plane Plane Geometry is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper
   
prism Solid Geometry is about three dimensional objects like cubes, prisms and pyramids.

Hint: Try drawing some of the shapes and angles as you learn ... it helps.

Plane Geometry

Plane Geometry is all about shapes on a flat surface (like on an endless piece of paper).

General

  Plane
  Shape
  Perimeter
  General Drawing Tool

Shapes

  Triangles
  Interactive Triangles
  Right Angled Triangles
   
  Quadrilaterals (Rhombus, Parallelogram, etc)
  Interactive Quadrilaterals
   
  Circle
  Pi
  Circle Sector and Segment
   
  Area
  Area of Plane Shapes
  Area Calculation Tool

Pythagoras

  Pythagoras' Theorem
  Pythagorean Triples

Polygons

  A Polygon is a 2-dimensional shape made of straight lines. Triangles and Rectangles are polygons. Here are some more:
 
Pentagon Pentagon   Pentagram Pentagram   Hexagon Hexagon
  Diagonals of Polygons (coming soon)

 

Symbols

  There are many special symbols used in Geometry. Here is a short reference for you: Geometric Symbols

 

Congruent and Similar

  Congruent Shapes
  Congruent Angles
  Similar Shapes

Angles

angles
Types of Angles

Degrees (Angle)
Acute Angles
Right Angles
Obtuse Angles
Straight Angle
Reflex Angles

Parallel Lines and Pairs of Angles
Transversal
Proof that a Triangle has 180°

Supplementary Angles
Complementary Angles

Angles Around a Point
Angles on a Straight Line

Interior Angles
Exterior Angles

Interior Angles of Polygons
Exterior Angles of Polygons

  The angle in a semicircle (coming soon)
  Angles in the same segment (coming soon)
  Angle at the center theorem (coming soon)
  Cyclic quadrilaterals (coming soon)


Compass

Using Drafting Tools

Geometric Constructions

Using the Protractor
Using the Drafting Triangle and Ruler
Using a Ruler and Compass

Conic Sections

  Set of all points
  Conic Sections
  Ellipse
  Parabola
  Hyperbola
symmetry drawing

Transformations and Symmetry

Transformations:

Symmetry:

Symmetry Artist

Tessellations
Tessellation Artist

Trigonometry

Right-Angled Triangle Introduction to Trigonometry
Trigonometry Index

 

Solid Geometry

Solid Geometry is the geometry of three-dimensional space - the kind of space we live in ...

Let us start with some of the simplest shapes:

Solids come in two types "Polyhedra" and "Non-Polyhedra":

  Polyhedra :
(they must have flat faces)
tetrahedronhexahedronoctahedrondodecahedornicosahedron Platonic Solids
triangular prismsquare prismpentagonal prism Prisms
triangular pyramidsquare pyramidpentagonal pyramid Pyramids
     
  Non-Polyhedra:
(if any surface is not flat)
sphere Sphere torus Torus
cylinder Cylinder cone Cone

 

  Vertices, Faces, and Edges
  Euler's Theorem