The Wonderful World of the Triangle Inequality Theorem
Practice Questions: Can sides of lengths \(4 \text{ cm}\), \(7 \text{ cm}\), and \(13 \text{ cm}\) form a triangle? Can sides of lengths \(9 \text{ cm}\), \(11 \text{ cm}\), and \(20 \text{ cm}\) form a triangle? Can sides of lengths \(15 \text{ cm}\), \(17 \text{ cm}\), and \(31 \text{ cm}\) form a triangle? No No […]
Exploring the Fundamentals: Properties of Equality and Congruence in Geometry
TL;DR: The properties of equality and congruence sound like a list of obvious-sounding rules — a equals a, if a equals b then b equals a, and so on. Boring on paper. But they are the official toolkit you cite when you write a geometry proof. Every step needs a reason, and these properties are […]
