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 |
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Solid Geometry is about three dimensional objects like cubes, prisms and pyramids. |
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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 |
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| Perimeter | |
| General Drawing Tool |
Shapes
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: | |||||||||
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| 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
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Using Drafting ToolsUsing the Protractor |
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Conic Sections
| Set of all points | |
| Conic Sections | |
| Ellipse | |
| Parabola | |
| Hyperbola |
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Transformations and Symmetry |
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Activity: Symmetry of Shapes Activity: Make a Mandala Activity: Coloring (The Four Color Theorem) |
| Tessellations Tessellation Artist |
Trigonometry
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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) |
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| Non-Polyhedra: (if any surface is not flat) |
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| Vertices, Faces, and Edges | |
| Euler's Theorem |