1: Foundations of Geometry
1.1: Measuring Segments and Angles
Investigating Angle Theorems
1.2: Basic Constructions
Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Segment and Angle Bisectors
1.3: Midpoint and Distance
Distance Formula
1.4: Inductive Reasoning
Finding Patterns
1.5: Conditional Statements
Biconditional Statements
Conditional Statements
1.7: Writing Proofs
Investigating Angle Theorems
2: Parallel and Perpendicular Lines
2.3: Parallel Lines and Triangle Angle Sums
Triangle Angle Sum
2.4: Slopes of Parallel and Perpendicular Lines
Solving Linear Systems (Slope-Intercept Form)
3: Transformations
3.1: Reflections
Reflections
Rotations, Reflections, and Translations
3.2: Translations
Rotations, Reflections, and Translations
Translations
3.3: Rotations
Rotations, Reflections, and Translations
3.4: Classification of Rigid Motion
Rotations, Reflections, and Translations
3.5: Symmetry
Quilting Bee (Symmetry)
4: Triangle Congruence
4.1: Congruence
Reflections
Rotations, Reflections, and Translations
Translations
4.2: Isosceles and Equilateral Triangles
Isosceles and Equilateral Triangles
4.3: Proving and Applying the SAS and SSS Congruence Criteria
Proving Triangles Congruent
4.4: Proving and Applying the ASA and AAS Congruence Criteria
Proving Triangles Congruent
4.5: Congruence in Right Triangles
Congruence in Right Triangles
5: Relationships in Triangles
5.1: Perpendicular and Angle Bisectors
Segment and Angle Bisectors
5.2: Bisectors in Triangles
Concurrent Lines, Medians, and Altitudes
5.3: Medians and Altitudes
Concurrent Lines, Medians, and Altitudes
5.4: Inequalities in One Triangle
Triangle Inequalities
6: Quadrilaterals and Other Polygons
6.1: The Polygon Angle-Sum Theorems
Polygon Angle Sum
6.2: Kites and Trapezoids
Classifying Quadrilaterals
6.3: Properties of Parallelograms
Parallelogram Conditions
6.4: Proving a Quadrilateral202s a Parallelogram
Parallelogram Conditions
6.5: Properties of Special Paralellograms
Special Parallelograms
6.6: Conditions of Special Parallelograms
Special Parallelograms
7: Similarity
7.1: Dilations
Dilations
7.2: Similarity Transformations
Dilations
Similar Figures
7.3: Proving Triangles Similar
Similar Figures
7.4: Similarity in Right Triangles
Similarity in Right Triangles
8: Right Triangles and Trigonometry
8.1: Right Triangles and the Pythagorean Theorem
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
8.2: Trigonometric Ratios
Sine, Cosine, and Tangent Ratios
8.5: Problem Solving With Trigonometry
Sine, Cosine, and Tangent Ratios
9: Coordinate Geometry
9.1: Polygons in the Coordinate Plane
Distance Formula
9.3: Circles in the Coordinate Plane
Circles
9.4: Parabolas in the Coordinate Plane
Parabolas
10: Circles
10.1: Arcs and Sectors
Chords and Arcs
Radians
10.3: Chords
Chords and Arcs
10.4: Inscribed Angles
Inscribed Angles
11: Two- and Three-Dimensional Models
11.2: Volumes of Prisms and Cylinders
Prisms and Cylinders
11.3: Pyramids and Cones
Pyramids and Cones
11.4: Spheres
Measuring Volume
12: Probability
12.1: Probability Events
Independent and Dependent Events
12.2: Conditional Probability
Independent and Dependent Events
12.3: Permutations and Combinations
Permutations and Combinations
12.4: Probability Distributions
Binomial Probabilities
12.5: Expected Value
Lucky Duck (Expected Value)
12.6: Probability and Decision Making
Binomial Probabilities
Lucky Duck (Expected Value)
Probability Simulations