Syllabus
Chapter 1 Basics of Geometry
1.1 Points, Lines, and Planes
“1.2 Measuring and Constructing Segments”
1.3 Using Midpoint and Distance Formulas
1.4 Perimeter and Area in the Coordinate Plane
1.5 Measuring and Constructing Angles
1.6 Describing Pairs of Angles
Chapter 2 Reasoning and Proofs
2.1 Conditional Statements
2.2 Inductive and Deductive Reasoning
2.3 Postulates and Diagrams
2.4 Algebraic Reasoning
2.5 Proving Statements about Segments and Angles
2.6 Proving Geometric Relationships
Chapter 3 Parallel and Perpendicular Lines
3.1 Pairs of Lines and Angles
3.2 Parallel Lines and Transversals
3.3 Proofs with Parallel Lines
3.4 Proofs with Perpendicular Lines
3.5 Equations of Parallel and Perpendicular Lines
Chapter 4 Transformations
4.1 Translations
4.2 Reflections
4.3 Rotations
4.4 Congruence and Transformations
4.5 Dilations
4.6 Similarity and Transformations
Chapter 5 Congruent Triangles
5.1 Angles of Triangles
5.2 Congruent Polygons
5.3 Proving Triangle Congruence by SAS
5.4 Equilateral and Isosceles Triangles
5.5 Proving Triangle Congruence by SSS
5.6 Proving Triangle Congruence by ASA and AAS
5.7 Using Congruent Triangles
5.8 Coordinate Proofs
Chapter 6 Relationships Within Triangles
6.1 Perpendicular and Angle Bisectors
6.2 Bisectors of Triangles
6.3 Medians and Altitudes of Triangles
6.4 The Triangle Midsegment Theorem
6.5 Indirect Proof and Inequalities in One Triangle
6.6 Inequalities in Two Triangles
Chapter 7 Quadrilaterals and Other Polygons
7.1 Angles of Polygons
7.2 Properties of Parallelograms
7.3 Proving That a Quadrilateral is a Parallelogram
7.4 Properties of Special Parallelograms
7.5 Properties of Trapezoids and Kites
Chapter 8 Similarity
8.1 Similar Polygons
8.2 Proving Triangle Similarity by AA
8.3 Proving Triangle Similarity by SSS and SAS
8.4 Proportionality Theorems
Chapter 9 Right Triangles and Trigonometry
9.1 The Pythagorean Theorem
9.2 Special Right Triangles
9.3 Similar Right Triangles
9.4 The Tangent Ratio
9.5 The Sine and Cosine Ratios
9.6 Solving Right Triangles
9.7 Law of Sines and Law of Cosines
Chapter 10 Circles
10.1 Lines and Segments That Intersect Circles
10.2 Finding Arc Measures
10.3 Using Chords
10.4 Inscribed Angles and Polygons
10.5 Angle Relationships in Circles
10.6 Segment Relationships in Circles
10.7 Circles in the Coordinate Plane
Chapter 11 Circumference, Area, and Volume
11.1 Circumference and Arc Length
11.2 Areas of Circles and Sectors
11.3 Areas of Polygons
11.4 Three-Dimensional Figures
11.5 Volumes of Prisms and Cylinders
11.6 Volumes of Pyramids
11.7 Surface Areas and Volumes of Cones
11.8 Surface Areas and Volumes of Spheres
Chapter 12 Probability
12.1 Sample Spaces and Probability
12.2 Independent and Dependent Events
12.3 Two-Way Tables and Probability
12.4 Probability of Disjoint and Overlapping Events
12.5 Permutations and Combinations
12.6 Binomial Distributions