The Congruence Axioms for Segments
Channel: Andrew Misseldine
Date: 2022-02-04

In this video, we introduce the notion of congruence of line segments and present the three congruence axioms related to segment congruence, namely Segment Translation, Transitivity of Segment Congruence, and Segment Addition. We define the notion of a congruence geometry but defer the coverage of the three remaining congruence axioms until the next lecture. We prove that segment congruence is an equivalence relation.

This is part 14 (1/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3130 - Modern Geometries at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1rIZL7t1H2sRR6-RkdwUQ69aAKZIOwn62/view

This lecture is loosely based upon Section 2.4 of Euclidean and Non-Euclidean Geometries by Greenberg. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.