BASIC GEOMETRY – ENGLISH – CHAPTER 3
BASIC GEOMETRY
CHAPTER 3 – PART 1
Basic Triangle Definitions
Definition of Triangle Perimeter
Equilateral Triangle definition
Building a Triangle Equilateral
Isosceles triangle definition
Definition of a Scalene Triangle
Definitions of Triangle Types based on angle values
Rectangle Triangle Definition
Similar Triangles
BASIC GEOMETRY
CHAPTER 3 – PART 2
Sum of the three Interior Angles of a Triangle
Conditions for Congruence of Triangles
Construction of Triangle given One Side and Two Angles
Definition of Exterior Angles of a Triangle
Relations between Interior and Exterior angles of a Triangle
BASIC GEOMETRY
CHAPTER 3 – PART 3
Definitions of Height and Orthocenter of a Triangle
Definition of Circumcenter of a Triangle and of a Circumference Exterior Circumscribed to a Triangle
Definition of a Centroid and Median of a Triangle
Relations between Median segments and Centroid
Relations between dimensions of the Hypotenuse and dimensions of the Median, in a Rectangle Triangle
BASIC GEOMETRY
CHAPTER 3 – PART 4
Concept of the bisector of an angle and Inscribed Circumference
Definition of Incenter of a Triangle
Calculation of the Area of an Acute Triangle
Calculation of the Area for a Right Triangle
Calculation of the Area of a Obtuse Triangle
BASIC GEOMETRY
CHAPTER 3 – PART 5
Theorem of Equivalence of the Areas of Parallelograms and Triangles between Parallel Lines
Theorem of Pythagoras of Samos, that proves the relation between the Hypotenuse and the Catheti or legs in a Rectangle Triangle.
BASIC GEOMETRY
CHAPTER 3 – PART 6
Carnot Theorem
BASIC GEOMETRY
CHAPTER 3 – PART 7
17 Problems to be Solved