- 1 Basics of Geometry Contents
- 1.1 Basic Geometric Definitions
- 1.2 Distance Between Two Points
- 1.3 Congruent Angles and Angle Bisectors
- 1.4 Midpoints and Segment Bisectors
- 1.5 Angle Measurement
- 1.6 Angle Classification
- 1.7 Complementary Angles
- 1.8 Supplementary Angles
- 1.9 Linear Pairs
- 1.10 Vertical Angles
- 1.11 Triangle Classification
- 1.12 Polygon Classification
- 2 Reasoning and Proof
- 2.1 Conjectures and Counterexamples
- 2.2 If-Then Statements
- 2.3 Converse, Inverse, and Contrapositive
- 2.4 Inductive Reasoning from Patterns
- 2.5 Deductive Reasoning
- 2.6 Truth Tables
- 2.7 Properties of Equality and Congruence
- 2.8 Two-Column Proofs
- 3 Parallel and Perpendicular Lines
- 3.1 Parallel and Skew Lines
- 3.2 Perpendicular Lines
- 3.3 Corresponding Angles
- 3.4 Alternate Interior Angles
- 3.5 Alternate Exterior Angles
- 3.6 Same Side Interior Angles
- 3.7 Slope in the Coordinate Plane
- 3.8 Parallel Lines in the Coordinate Plane
- 3.9 Perpendicular Lines in the Coordinate Plane
- 3.10 Distance Formula in the Coordinate Plane
- 3.11 Distance Between Parallel Lines
- 4 Triangles and Congruence
- 4.1 Triangle Sum Theorem
- 4.2 Exterior Angles Theorems
- 4.3 Congruent Triangles
- 4.4 Congruence Statements
- 4.5 Third Angle Theorem http://www.ck12.org Contents
- 4.6 SSS Triangle Congruence
- 4.7 SAS Triangle Congruence
- 4.8 ASA and AAS Triangle Congruence
- 4.9 HL Triangle Congruence
- 4.10 Isosceles Triangles
- 4.11 Equilateral Triangles
- 5 Relationships with Triangles
- 5.1 Midsegment Theorem
- 5.2 Perpendicular Bisectors
- 5.3 Angle Bisectors in Triangles
- 5.4 Medians
- 5.5 Altitudes
- 5.6 Comparing Angles and Sides in Triangles
- 5.7 Triangle Inequality Theorem
- 5.8 Indirect Proof in Algebra and Geometry
- 6 Polygons and Quadrilaterals
- 6.1 Interior Angles in Convex Polygons
- 6.2 Exterior Angles in Convex Polygons
- 6.3 Parallelograms
- 6.4 Quadrilaterals that are Parallelograms
- 6.5 Parallelogram Classification
- 6.6 Trapezoids
- 6.7 Kites
- 6.8 Quadrilateral Classification
- 7 Similarity
- 7.1 Forms of Ratios
- 7.2 Proportion Properties
- 7.3 Similar Polygons and Scale Factors
- 7.4 AA Similarity
- 7.5 Indirect Measurement
- 7.6 SSS Similarity
- 7.7 SAS Similarity
- 7.8 Triangle Proportionality
- 7.9 Parallel Lines and Transversals
- 7.10 Proportions with Angle Bisectors
- 7.11 Dilation
- 7.12 Dilation in the Coordinate Plane
- 7.13 Self-Similarity
- 8 Right Triangle Trigonometry
- 8.1 Pythagorean Theorem and Pythagorean Triples
- 8.2 Applications of the Pythagorean Theorem
- 8.3 Inscribed Similar Triangles
- 8.4 45-45-90 Right Triangles
- 8.5 30-60-90 Right Triangles
- 8.6 Sine, Cosine, Tangent
- 8.7 Trigonometric Ratios with a Calculator
- 8.8 Trigonometry Word Problems
- 8.9 Inverse Trigonometric Ratios Contents http://www.ck12.org
- 8.10 Laws of Sines and Cosines
- 9 Circles
- 9.1 Parts of Circles
- 9.2 Tangent Lines
- 9.3 Arcs in Circles
- 9.4 Chords in Circles
- 9.5 Inscribed Angles in Circles
- 9.6 Inscribed Quadrilaterals in Circles
- 9.7 Angles On and Inside a Circle
- 9.8 Angles Outside a Circle
- 9.9 Segments from Chords
- 9.10 Segments from Secants
- 9.11 Segments from Secants and Tangents
- 9.12 Circles in the Coordinate Plane
- 10 Perimeter and Area
- 10.1 Area and Perimeter of Rectangles
- 10.2 Area of a Parallelogram
- 10.3 Area and Perimeter of Triangles
- 10.4 Area of Composite Shapes
- 10.5 Area and Perimeter of Trapezoids
- 10.6 Area and Perimeter of Rhombuses and Kites
- 10.7 Area and Perimeter of Similar Polygons
- 10.8 Circumference
- 10.9 Arc Length
- 10.10 Area of a Circle
- 10.11 Area of Sectors and Segments
- 10.12 Area of Regular Polygons
- 11 Surface Area and Volume
- 11.1 Polyhedrons
- 11.2 Cross-Sections and Nets
- 11.3 Prisms
- 11.4 Cylinders
- 11.5 Pyramids
- 11.6 Cones
- 11.7 Spheres
- 11.8 Composite Solids
- 11.9 Area and Volume of Similar Solids
- 12 Rigid Transformations
- 12.1 Reflection Symmetry
- 12.2 Rotation Symmetry
- 12.3 Geometric Translations
- 12.4 Rotations
- 12.5 Reflections
- 12.6 Composition of Transformations
- 12.7 Tessellations
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