) is equal to the sum of the squares of the other two sides ( a2+b2=c2a squared plus b squared equals c squared 2. Triangle Sum Theorem
: Used only to connect two existing points. Coordinate vs. Euclidean Geometry Geometry: Theorems and Constructions
📍 : Theorems provide the "why" (logic), while constructions provide the "how" (physical representation). ) is equal to the sum of the
: Finding the exact midpoint of a line. Angle Bisector : Dividing an angle into two equal parts. Perpendicular Lines : Creating a 90∘90 raised to the composed with power intersection. Euclidean Geometry 📍 : Theorems provide the "why"
: Statements accepted as true without proof (e.g., a straight line can be drawn between any two points). Essential Theorems
Theorems are geometric statements that have been proven using logic and previously established truths. 1. Pythagorean Theorem In a right-angled triangle, the square of the hypotenuse (