Between Preservation of Segment Congruence
Channel: Andrew Misseldine
Date: 2022-02-04

In this video, we state and prove the Between Preservation Theorem of segment congruence, which states that when two segments are congruence any point on the first segment can be translated onto the other so that corresponding parts are congruent. We also define the notion of a linear ordering of segments.

This is part 14 (2/3) 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.