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 Geometry is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper
	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

	Activity: Sorting Shapes
	Triangles
	Interactive Triangles
	Right Angled Triangles
	Quadrilaterals (Rhombus, Parallelogram, etc)
	Interactive Quadrilaterals
	Circle
	Pi
	Circle Sector and Segment
	Circle Theorems
	Circle Area by Sectors
	Area
	Area of Plane Shapes
	Area Calculation Tool
	Activity: Garden Area Activity: Dropping a Coin onto a Grid

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   Pentagram   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

Types of Angles

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

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

	Transformations and Symmetry Transformations: Rotation Reflection Translation Resizing Symmetry: Reflection Symmetry Rotational Symmetry Point Symmetry Lines of Symmetry of Plane Shapes Symmetry Artist
	Activity: Symmetry of Shapes Activity: Make a Mandala Activity: Coloring (The Four Color Theorem)
	Tessellations Tessellation Artist

Trigonometry

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:

• Cube
• Cuboid
• Volume of a Cuboid

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

	Polyhedra : (they must have flat faces)	Platonic Solids Prisms Pyramids
	Non-Polyhedra: (if any surface is not flat)	Sphere Torus Cylinder Cone