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, cylinders and spheres. |
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)
A Line is one-dimensional
A Plane is two dimensional (2D)
A Solid is three-dimensional (3D)
Why?
Why do we do Geometry? To discover patterns, find areas, volumes, lengths and angles, and better understand the world around us.
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
Using Drafting Tools |
Transformations and Symmetry
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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