Something You Didn't Learn About Reflections from School!

Рет қаралды 1,915

Ай бұрын

An in depth look at reflections in geometry. Also, how do objects transform to preserve congruence? Here is a GeoGebra 3D program that can be used for the classroom: www.geogebra.org/3d/syvjnOK.
Errata: @ 6:24 the equation is correct, but the diagram is a bit off. The adjacent side of the triangle would be r-x where 'r' is the root. Otherwise you can always drop the y-int (amounting to a shift left or right) making it 0 and then the equation follows b/c then the line goes through the origin.
----------------------------------------------------------
Check out my new book -- Learning Isn't Linear: The Essential Problem, Solution, and Project Book for Students, Teachers, and Parents available on amazon.com.
Softcover - www.amazon.com/Learning-Isnt-...
Softcover (color ed.) - www.amazon.com/Learning-Isnt-...
eBook - www.amazon.com/Learning-Isnt-...
(The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.)
---------------------------------------------------------
"Prioritize long-term learning over short-term test-taking."
-----------------------------
#manim_community
-----------------------------
#ai
#education
#mathematics
#geometry
#desmos
#books
#teacher
#code
#grid
#python

Пікірлер: 7

@learning.isnt.linear 25 күн бұрын

Errata: @ 6:24 the equation is correct, but the diagram is a bit off. The adjacent side of the triangle would be r-x where 'r' is the root. Otherwise you can always drop the y-int (amounting to s shift left or right) making it 0 and then the equation follows b/c then the line goes through the origin.

@EccentricTuber 27 күн бұрын

This is great! Have you seen the recent paper in Geometric Algebra that composes motion as k-reflections? I think you'd really like it. The paper is called "Graded Symmetry Groups: Plane and Simple"

@learning.isnt.linear 26 күн бұрын

Thanks so much. I will definitely check out that paper.

@crix_h3eadshotgg992 8 күн бұрын

“Plane and simple” 😂😂😂 humanity has fallen