Shapes & Geometry Shapes

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.

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Point, Line, Plane and Solid

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A Point has no dimensions, only position 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.

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Plane Geometry

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

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Polygons

A Polygon is a 2-dimensional shape made of straight lines. Triangles and Rectangles are polygons.

Here are some more:

Pentagon

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Pentagram

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Hexagon

The Circle

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Circle Theorems (Advanced Topic)

Symbols

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

Geometric Symbols

Congruent and Similar

Angles

Types of Angles

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Using Drafting Tools

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Transformations and Symmetry

Transformations:

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Symmetry:

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Coordinates

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See also  S2 Geometry I.O - S2 Cell Statistics

More Advanced Topics in Plane Geometry

Pythagoras

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Conic Sections

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Circle Theorems

Triangle Centers

Trigonometry

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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:

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Common 3D Shapes

Polyhedra and Non-Polyhedra

There are two main types of solids, “Polyhedra”, and “Non-Polyhedra”:

Polyhedra (they must have flat faces):

Cubes and Cuboids (Volume of a Cuboid)
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Platonic Solids
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Prisms
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Pyramids

Non-Polyhedra (when any surface is not flat):

See more articles in category: Geometry

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