GEOMETRY-- BASIC MATHEMATICS.
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:
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Plane Geometry is about flat shapes like lines, circles and triangles ... shapes that can be drawn on a piece of paper |
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Solid Geometry is about three dimensional objects like cubes, prisms, cylinders and spheres. |
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Hint: Try drawing some of the shapes and angles as you learn ... it helps. |
Point, Line, Plane and Solid
A Point has no dimensions, only position
A Line is one-dimensional
A Plane is two dimensional (2D)
A Solid is three-dimensional (3D)
Plane Geometry
Plane Geometry is all about shapes on a flat surface (like on an endless piece of paper).
Polygons
A Polygon is a 2-dimensional shape made of straight lines. Triangles and Rectangles are polygons.
Here are some more:
The Circle
Circle Theorems (Advanced Topic)
Symbols
There are many special symbols used in Geometry. Here is a short reference for you:
Congruent and Similar
Angles
Transformations and Symmetry
Transformations:
Symmetry:
Activity: Symmetry of Shapes
Activity: Make a Mandala
Activity: Coloring (The Four Color
Theorem)
Coordinates
More Advanced Topics in Plane Geometry
Pythagoras
Conic Sections
Trigonometry
Trigonometry is a special subject of its own, so you might like to visit:
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:
Polyhedra and Non-Polyhedra
There are two main types of solids, "Polyhedra", and "Non-Polyhedra":
| Polyhedra :
(they must have flat faces) |
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| Non-Polyhedra:
(if any surface is not flat) |
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Activity: Sorting Shapes
