Unit 3: Tools and Rules

The System of Euclidean Geometry

A working document on the system (including definitions and theorems) is here.

Unit 3 Practice Problems

In order to really learn the material, you need to practice!

Project on Systems and Construction

Here is the link to the project description: Project Description

Unit 3 Slideshow

Lesson 1 - The Tools

In this lesson we'll introduce the tools for doing geometry: paper, pencil, straightedge and compass.

Lesson 2 - The Rules

In this lesson we'll look at the rules that form the foundation of our axiomatic system of geometry.

Lesson 3 - Triangle Equality

In this lesson you will learn about triangle equality/congruence assumptions such as SAS and SSS. In addition the the video below, here are some lessons that may be helpful: https://schoolyourself.org/learn/geometry/triangles-sss

Lesson 4 - Constructing Bisectors

In this lesson we'll go over the key technique of dividing things in half.

Lesson 5 - Constructing Perpendiculars

In this lesson we'll look at the constructions and proofs of creating perpendiculars to given lines.

Lesson 6 - Constructing Centers

In this lesson we'll use our techniques for constructing bisectors and perpendiculars to construct the different centers of a triangle.

Practice Quiz

Practice Quiz 3a

Practice Quiz 3a Solutions

Practice Quiz 3b Solutions