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PinkMonkey.com Geometry Study Guide

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Introduction

Chapter 1 Basic Concepts in Geometry
1.1 Points, Lines and Planes
1.2 Line Segment
1.3 Rays and Angles
1.4 Some Special Angles
1.5 Angles Made By A Transversal
1.6 Transversal Across Two Parallel Lines
1.7 Conditions For Parallelism

Chapter 2 Triangles
2.1 Introduction
2.2 Sum Of The Angles Of A Triangle
2.3 Types of Triangles
2.4 Attitude, Median And Angle Bisector
2.5 Congruence Of Triangles
2.6 Sides Opposite Congruent Angles

Chapter 3 Polygons
3.1 Definition
3.2 Terminology
3.3 Sum Of Interior Angles Of A Polygon
3.4 Sum Of Exterior Angles Of A Polygon
3.5 Trapezoids
3.6 Parallelogram
3.7 Square, Rectangle And Rhombus

Chapter 4 Perimeter And Area
4.1 Perimeter
4.2 Square
4.3 Rectangle
4.4 Parallelogram
4.5 Triangle
4.6 Trapezoids
4.7 Circles

Chapter 5 Similarity
5.1 Introduction
5.2 Ratio And Proportionality
5.3 Similar Polygons
5.4 Basic Proportionality Theorem
5.5 Angle Bisector Theorem
5.6 Similar Triangles
5.7 Properties Of Similar Triangles

Chapter 6 Theorem of Pythagoras And The Right Triangle
6.1 The Right Triangle
6.2 The Theorem of Pythagoras
6.3 Special Right Triangles

Chapter 7 Circle
7.1 Introduction
7.2 Lines Of A Circle
7.3 Arcs
7.4 Inscribed Angles
7.5 Some Properties Of Tangents, Secants And Chords
7.6 Chords And Their Arcs
7.7 Segments Of Chords, Secants And Tangents
7.8 Lengths of Arcs And Areas Of Sectors

Chapter 8 Surface Area And Volume
8.1 Introduction to Solid Geometry
8.2 Prism
8.3 The Cuboid And The Cube
8.4 Cylinders
8.5 Pyramids
8.6 Right Circular Cone
8.7 Sphere

Chapter 9 Co-Ordinate Geometry
9.1 Points And Co-ordinates
9.2 Co-ordinates and Axes
9.3 Quadrants
9.4 Distances And Distances Formula
9.5 Mid Point Formula
9.6 Slope Of A Line
9.7 Equation Of A Line

 

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