3rd Preparatory Geometry

Term One | Term Two

TERM ONE

Unit One

	The Slope of a Straight Line Case
	The Slope of a Straight Line Case (2)
	The Slope of a Straight Line Case - Part Two
	The Relation Between the Slopes of Two Parallel Straight Lines - Part One
	The Relation Between the Slopes of Two Parallel Straight Lines - Part One (2)
	The Relation Between the Slopes of Two Parallel Straight Lines - Part Two
	The Relation Between the Slopes of Two Parallel Straight Lines - Part Two (2)
	The Relation Between the Slopes of Two Parallel Straight Lines - Part Three
	The Relation Between the Slopes of Two Parallel Straight Lines - Part Three (2)
	The Relation Between the Slopes of Two Orthogonal Straight Lines - Part One
	The Relation Between the Slopes of Two Orthogonal Straight Lines - Part One (2)
	The Relation Between the Slopes of Two Orthogonal Straight Lines - Part Two
	The Relation Between the Slopes of Two Orthogonal Straight Lines - Part Two (2)
	The Relation Between the Slopes of Two Orthogonal Straight Lines - Part Three
	The Coordinates of the Mid Point of a Line Segment - Part One
	The Coordinates of the Mid Point of a Line Segment - Part One (2)
	The Coordinates of the Mid Point of a Line Segment - Part Two
	The Coordinates of the Mid Point of a Line Segment - Part Two (2)
	The Coordinates of the Mid Point of a Line Segment - Part Three
	The Distance Between Two Points - Part One
	The Distance Between Two Points - Part One (2)
	The Distance Between Two Points - Part Two
	The Distance Between Two Points - Part Three

Unit Two

	Geometrical Concepts & Definitions of a Circle
	Geometrical Concepts & Definitions of a Circle (2)
	Important Corollaries
	Important Corollaries (2)
	Position of a Point with Respect to a Circle
	Position of a Stright Line with Respect to a Circle
	Position of a Stright Line with Respect to a Circle (2)
	Position of a Circle with Respect to Another Circle
	Position of a Circle with Respect to Another Circle (2)
	Identifying a Circle - Drawing a Circle Passing through a Given Point
	Identifying a Circle - Drawing a Circle Passing through Two Given Points
	Identifying a Circle - Drawing a Circle Passing through Two Given Points (2)
	Identifying a Circle - Drawing a Circle Passing through Three Given Points
	Identifying a Circle - Drawing a Circle Passing through Three Given Points (2)
	The Relation Between the Chords of a Circle and its Centre
	Theorem (2-1)
	Corollaries of Theorem (2-1)
	The Converse of Theorem (2-1)

Term One | Term Two

TERM TWO

Unit One

	The Concept of the Arc
	The Central Angle & the Inscribed Angle
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case One
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case One (2)
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two (2)
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Two (3)
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Three
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Three (2)
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc – Case Three (3)
	The Relation Between the Inscribed Angle & the Central Angle Subtended by the Same Arc
	The Relation Between the Inscribed Angle & the Arc Subtended on it
	The Relation Between the Inscribed Angle & the Arc Subtended on it (2)
	The Inscribed Angle in a Semi-Circle
	The Inscribed Angle in a Semi-Circle (2)
	A Well Known Problem on the Chords of the Circle
	A Well Known Problem on the Chords of the Circle (2)
	A Well Known Problem on the Chords of the Circle (3)
	A Well Known Problem on the Arcs of the Circle
	A Well Known Problem on the Arcs of the Circle (2)
	A Well Known Problem on the Arcs of the Circle (3)
	The Relation Between the Inscribed Angles on the Same Arc
	The Equality Between the Measures of Subtended Angles that Share the Same Arc
	The Equality Between the Measures of Subtended Angles that Share the Same Arc (2)
	The Inscribed Angles Subtended by the Same Base
	The Inscribed Angles Subtended by the Same Base (2)
	Concept of Cyclic Quadrilaterals
	Concept of Cyclic Quadrilaterals (2)
	The Properties of the Cyclic Quadrilaterals
	The Properties of the Cyclic Quadrilaterals (2)
	The Properties of the Cyclic Quadrilaterals (3)
	The Properties of the Cyclic Quadrilaterals
	The External Angle of the Cyclic Quadrilateral
	The External Angle of the Cyclic Quadrilateral (2)
	Cases for the Quadrilateral to be Cyclic

Unit Two

	Miscellaneous Exercises (1-1)
	Miscellaneous Exercises (1-1) (2)
	Miscellaneous Exercises (1-2)
	Miscellaneous Exercises (1-2) (2)
	Miscellaneous Exercises (1-2) (3)
	Tangents of a Circle
	Tangents of a Circle (2)
	The Two Tangents - Segments Drawn to a Circle From a Point Outside It
	The Two Tangents - Segments Drawn to a Circle From a Point Outside It (2)
	Corollaries on the Relation Between the Two Tangents of the Circle from a Point
	The Inscribed Circle of a Triangle
	The Inscribed Circle of a Triangle (2)
	Angles of Tangency
	The Relation Between the Angle of Tangency and the Inscribed Angle Subtended by the Same Arc
	The Relation Between the Angle of Tangency and the Inscribed Angle Subtended by the Same Arc (2)
	Determining if a ray is a Tangent for the Circle or Not
	Miscellaneous Exercises (2-1)
	Miscellaneous Exercises (2-1) (2)
	Exercises on the Angle of Tangency
	Exercises on the Angle of Tangency (2)
	Exercises on the Angle of Tangency (3)