Math with Bad DrawingsCartoon Archive

Greatest Triangles: The Triangle Proved Isosceles by Self-Congruence

October 8, 2025

One entry from the 10 Greatest Triangles countdown: The Triangle Proved Isosceles by Self-Congruence.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2025-10-08-the-10-greatest-triangles-of-the-21st-century--greatest-triangles-the-triangle-proved-isosceles-by-self-congruence/ (CC BY-NC 4.0)
Transcript

#4: The triangle proved isosceles by its congruence to itself. "As angle B = angle C, we deduce △ABC is congruent to △ACB by AAS, and thus AB = AC. One of the first proofs found by computer. A harbinger of things to come."

Topics
Geometry › Triangles › Isosceles Triangle TheoremLogic & Proof › Proofs & Theorems
Level
Middle SchoolHigh SchoolCollege
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Pop CulturePunsLanguage & WordplayMathematicians