Plane Geometry

If you like drawing, then geometry is for you!

Two-dimensional flat plane with geometric shapes drawn on it


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

right arrow Hint: Try drawing some of the shapes and angles as you learn ... it helps.

Progression from 0D point to 1D line, 2D square, and 3D cube

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

Two-dimensional regular pentagon

Geometric kite with marked diagonals



Rectangle divided into unit squares to show area

Polygons

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

Here are some more:

Regular five-sided pentagon Pentagon
Five-pointed star pentagram enclosed in a pentagon Pentagram
Regular six-sided hexagon Hexagon

Circle unrolling along a straight line measuring Pi times diameter

The Circle

Circle Theorems (Advanced Topic)

Symbols

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

Geometric Symbols

Congruent and Similar

Angles

Types of Angles
Angle types: acute, right, obtuse, straight, reflex, and full rotation






Using Drafting Tools

Semicircular degree protractor drafting tool

Transformations and Symmetry

Transformations:

Symmetric mandala pattern showing reflection and rotational symmetry

Symmetry:



Activity

Coordinates

Cartesian coordinate grid with labeled x and y axes

More Advanced Topics in Plane Geometry

Pythagoras

Right triangle with sides a, b, and hypotenuse c

Conic Sections

Drawing an ellipse using pins, string loop, and a pencil

Circle showing radius, chord, secant, and tangent lines

Circle Theorems

Triangle Concepts

Triangle Centers

Trigonometry

Right triangle labeling opposite, adjacent, and hypotenuse sides

Trigonometry is a special subject of its own, so you might like to visit: