Basics of Geometry
- Points, Lines, and Planes
- Segments
- Midpont Formula
- Distance Formula
- Perimeter and Area of Simple Figures
- Measuring Angles
- Angle Pairs
Reasoning and Proof
- Conditional Statements
- Inductive and Deductive Reasoning
- Using Postulates and Diagrams
- Algebraic Reasoning
- Proving Statements About Segments and Angles
- Proving Geometric Relationships
Parallel and Perpendicular Lines
- Pairs of Lines and Angles
- Parallel Lines and Transversals
- Proofs with Parallel Lines
- Proofs with Perpendicular Lines
- Equations of Parallel and Perpendicular Lines
Transformations
- Translations
- Reflections
- Rotations
- Congruence and Transformations
- Dilations
- Similarity
Congruent Triangles
- Angles of Triangles
- Congruent Polygons
- Side Angle Side (SAS)
- Equilateral and Isosceles
- Side Side Side (SSS)
- Angle Side Angle (ASA)
- Angle Angle Side (AAS)
- Using Congruent Triangles
- Coordinate Proofs
Relationships Within Triangles
- Perpendicular and Angle Bisectors
- Bisectors of Triangles
- Medians and Altitudes of Triangles
- The Triangle Midsegment Theorem
- Indirect Proof and Inequalities in One Triangle
- Inequalities in Two Triangles
Quadrilaterals and Other Polygons
- Angles of Polygons
- Properties of Parallelograms
- Proofs with Parallelograms
- Special Parallelograms
- Trapezoids and Kites
Similarity
- Similar Polygons
- Similarity via Angle Angle (AA)
- Similarity via Side Side Side (SSS) and Side Angle Side (SAS)
- Proportionality Theorems
Right Triangles and Pythagorean Theorem
- Pythagorean Theorem
- Special Right Triangles
- Similar Right Triangles
- Tangent Ratio
- Sine and Cosine Ratios
- Solving Right Triangles
- Law of Sines and Cosines
Circles
- Lines and Segments That Intersect Circles
- Finding Arc Measures
- Using Chords
- Inscribed Angles and Polygons
- Angle relationships in Circles
- Segment Relationships in Circles
- Circles in the Coordinate Plane
Circumference, Area, and Volume
- Circumference and Arc Length
- Areas of Circles and Sectors
- Areas of Polygons
- 3D Figures
- Volumes of Prisms and Cylinders
- Volumes of Pyramids
- Surface Area and Volume of Cones
- Surface Area and Volume of Spheres
Probability
- Intro to Probability
- Independent and Dependent
- Two-way Tables
- Disjoint and Overlapping Events
- Permutations and Combinations
- Binomial Distributions
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