**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