- Definition of Space (Points, Lines, and Planes)
- Coordinate Plane Overview
- Collinear/Noncollinear and Coplanar/Noncoplanar
- The Intersection of Lines and Planes
- Postulates with Points, Lines, and Planes
- Measuring Segments
- Segment Addition Postulate
- Definition of a Midpoint
- Midpoint Formula
- Midpoint Theorem
- Segment Bisectors
- Pythagorean Theorem
- Distance Formula
- Introduction to Angles
- Measuring Angles
- Angle Bisectors
- Angle Addition Postulate
- Different Types of Angles (Acute, Right, and Obtuse)
- Angle Relationship Names (Adjacent, Vertical, and Linear Pairs)
- Vertical Angles and Linear Pairs
- Complementary and Supplementary Angles
- Definition of Congruent Angles and Congruent Segments
- Perpendicular Lines
- Geometric Notation

- Inductive Reasoning
- If-Then Conditional Statements
- The Converse of Conditional Statements
- Biconditional Statements
- The Negation of a Statement
- The Inverse and Contrapositive of a Conditional Statement
- Truth Tables for If-Then Conditional Statements
- Deductive Reasoning (Law of Detachment and Law of Syllogism)
- Different Types of Proofs
- An Introduction to Geometric Proofs
- Proving Algebraic Steps Using Algebraic Properties
- Theorems Involving Angle Relationships
- Introduction to Geometric Proofs with Angles
- Introduction to Geometric Proofs with Segments

- Definition of Parallel, Perpendicular, and Skew
- Lines with Transversals and Angles Formed
- Parallel Lines with Transversals and Angle Theorems
- Proving Angles Congruent
- Converse Theorems with Parallel Lines and Transversals
- Proving Lines are Parallel
- Perpendicular Transversal Theorem
- Parallel and Perpendicular Postulate
- Slopes of Parallel and Perpendicular Lines
- The Distance Between a Point and a Line

- Definition of a Triangle
- Classifying Triangles
- Angle Sum Theorem for Triangles
- Third Angle Theorem for Triangles
- Exterior Angles Theorem for Triangles
- Triangle Corollaries
- Congruent Triangles (CPCTC)
- Properties of Congruent Triangles (Reflexive, Symmetric, and Transitive)
- Side-Side-Side (SSS) Postulate
- Side-Angle-Side (SAS) Postulate
- Angle-Side-Angle (ASA) Postulate
- Angle-Angle-Side (AAS) Postulate
- Leg-Leg (LL) Theorem with Right Triangles
- Hypotenuse-Acute Angle (HA) and Leg-Acute Angle (LA) Theorems
- Hypotenuse Leg (HL) Theorem with Right Triangles
- Isosceles Triangle Theorem and Its Converse
- Equilateral Triangle Postulates

- Medians and Altitudes of Triangles
- Angle Bisectors of a Triangle
- Perpendicular Bisectors of a Triangle
- The Incenter of a Triangle
- The Circumcenter of a Triangle
- The Orthocenter and Centroid of a Triangle
- Exterior Angle Inequality Theorem for Triangles
- Angle-Side Correspondance Theorem for Triangles
- Shortest Distance from a Point to a Line
- Triangle Inequality Theorem
- Side-Angle-Side (SAS) Inequality Theorem (Hinge Theorem)
- Side-Side-Side (SSS) Inequality Theorem

- Properties of Quadrilaterals
- Properties of Parallelograms
- Four Theorems to Prove Quadrilaterals are Parallelograms
- Problems with Parallelograms
- Properties of Rectangles
- Problems with Rectangles
- Properties of Rhombi
- Problems with Rhombi
- Properties of Squares
- Problems with Squares
- Properties of Trapezoids
- Properties of an Isosceles Trapezoids
- Problems with Trapezoids
- Trapezoid Midsegment Theorem
- Properties of Kites

- Ratios and Proportions
- Similar Figures
- Angle-Angle (AA) Similiarity with Triangles
- Side-Side-Side (SSS) Similarity with Triangles
- Side-Angle-Side (SAS) Similiarity with Triangles
- Triangle Proportionality and Its Converse (Side Splitter Theorem)
- Parallel Lines and Transversal Proportionality
- The Triangle Midsegment Theorem
- Proportional Perimeters of Similar Figures
- Proportional Altitudes of Similar Triangles
- Proportional Angle Bisectors of Similar Triangles
- Proportional Medians of Similar Triangles
- Angle Bisector Proportionality Theorem
- Similarity within a Right Triangle

- The Geometric Mean between Two Numbers
- The Length of a Right Triangle's Altitude (Geometric Mean)
- The Length of a Right Triangle's Leg (Geometric Mean)
- Pythagorean Theorem
- Pythagorean Inequality Theorem
- Pythagorean Triples
- 45-45-90 Special Right Triangle
- 30-60-90 Special Right Triangles
- The Tangent Ratio of Right Triangles
- The Sine Ratio of Right Triangles
- The Cosine Ratio of Right Triangles
- How to use SOH-CAH-TOA
- Determining the Measure of a Angle Using Inverse Trig Ratios
- Angle of Elevation and Depression
- Law of Sines
- Law of Cosines

- Parts of a Circle
- Properties of Tangent Lines to a Circle
- Central Angles and Arcs
- Arcs and Chords
- Inscribed Angles
- Angle Relationships in Circles
- Segment Relationships in Circles
- Circles in the Coordinate Plane
- Circumference and Area of Circles
- Area of Sectors of Circles
- Area of a Segments of a Circle
- Arc Length

- Classifying Polygons
- Interior Angle Sum Theorem for Polygons
- Exterior Angle Sum Theorem for Polygons
- Area of Rectangles and Squares
- Area of Parallelograms
- Area of Triangles
- Area of Trapezoids
- Area of Rhombi
- Area of Kites
- Area of Regular Polygons
- Using Trigonometry to Find Area
- Area of Circles
- Area of Non-Regular Polygons
- Finding the Area of Shaded Region
- Perimeter and Area Ratios of Similar Figures
- Inscribed and Circumscribed Figures

- Exploring Solid Three-Dimensional Figures
- Cross Sections of Solid Three-Dimensional Figures
- Eurler's Formula
- Three Dimensional Distance and Midpoint Formulas
- Representations of Three-Dimensional Figures
- Nets of Three-Dimensional Figures
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
- Surface Area and Volume of Spheres
- Similar Solids