Table of Contents
CONTENTS UNIT 1: BASICS OF GEOMETRY
- Introduction to Geometry
- Points, Lines, and Planes
- Angles
- Angle Pairs
- Constructions
- Logic and Reasoning
- Introduction to Geometric Proofs
UNIT 2: PARALLEL LINES
- Parallel Lines and Transversals
- Collecting and Using Information
- Parallel Line Theorems
- Proving Lines Parallel
UNIT 3: TRIANGLES AND CONGRUENCE
- Types of Triangles
- Interior and Exterior Angles
- Side Side Side (SSS) and Side Angle Side (SAS) Congruence
- Angle Side Angle (ASA) and Angle Angle Side (AAS) Congruence
- Triangle Bisectors
- Triangle Inequalities
UNIT 4: QUADRILATERALS AND POLYGONS
- Parallelograms
- Rhombuses, Rectangles, and Squares
- Trapezoids and Kites
- Polygons
UNIT 5: GEOMETRIC TRANSFORMATIONS
- Reflections
- Translations
- Rotations
- Compositions
- Congruence
UNIT 6: SIMILARITY
- Ratio and Proportion
- Dilations
- Similar Figures
- Similar Triangles
- Proportions in Triangles
UNIT 7: RIGHT TRIANGLES AND TRIGONOMETRY
- Slopes and Equations of Lines
- The Pythagorean Theorem
- Midpoint and Distance Formulas
- Coordinate Triangle Proofs
- Coordinate Quadrilateral Proofs
- Trigonometric Ratios
- Law of Sines and Cosines
UNIT 8: CIRCLES
- The Fundamentals of Circles
- Central Angles and Arcs
- Radian Measure
- Arcs and Chords
- Inscribed Angles
- Tangents
- Secants and Other Segments
- Equations of Circles
UNIT 9: AREA
- Area of Triangles and Parallelograms
- Area of Other Polygons
- Area of Circles and Sectors
- Area of Composite Figures
UNIT 10: SURFACE AREA AND VOLUME
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Volume of Prisms and Cylinders
- Surface Area and Volume of Spheres
- Volume of Composite 3-D Figures
- Surface Area and Volume in Solids of Revolution