Course Outline
Chapter 1 Essentials of Geometry
Lesson 1.1 Identify Points, Lines, and Planes
Lesson 1.2 Use Segments and Congruence
Lesson 1.3 Use Midpoint and Distance Formulas
Lesson 1.4 Measure and Classify Angles
Lesson 1.5 Describe Angle Pair Relationships
Lesson 1.6 Classify Polygons
Lesson 1.7 Find Perimeter, Circumference, and Area
Chapter 2 Reasoning and Proof
Lesson 2.1 Use Inductive Reasoning
Lesson 2.2 Analyze Conditional Statements
Lesson 2.3 Apply Deductive Reasoning
Lesson 2.4 Use Postulates and Diagrams
Lesson 2.5 Reason Using Properties from Algebra
Lesson 2.6 Prove Statements about Segments and Angles
Lesson 2.7 Prove Angle Pair Relationships
Chapter 3 Parallel and Perpendicular Lines
Lesson 3.1 Identify Pairs of Lines and Angles
Lesson 3.2 Use Parallel Lines and Transversals
Lesson 3.3 Prove Lines are Parallel
Lesson 3.4 Find and Use Slopes of Lines
Lesson 3.5 Write and Graph Equations of Lines
Lesson 3.6 Prove Theorems About Perpendicular Lines
Chapter 4 Congruent Triangles
Lesson 4.1 Apply Triangle Sum Properties
Lesson 4.2 Apply Congruence and Triangles
Lesson 4.3 Prove Triangle Congruence by SSS
Lesson 4.4 Prove Triangle Congruence by SAS and HL
Lesson 4.5 Prove Triangle Congruence by ASA and AAS
Lesson 4.6 Use Congruent Triangles
Lesson 4.7 Use Isosceles and Equilateral Triangles
Lesson 4.8 Perform Congruent Transformations
Chapter 5 Relationships within Triangles
Lesson 5.1 Midsegment Theorem and Coordinate Proof
Lesson 5.2 Use Perpendicular Bisectors
Lesson 5.3 Use Angle Bisectors of Triangles
Lesson 5.4 Use Medians and Altitudes
Lesson 5.5 Use Inequalities in a Triangle
Lesson 5.6 Inequalities in Two Triangles and Indirect Proof
Chapter 6 Similarity
Lesson 6.1 Ratios, Proportions, and Geometric Mean
Lesson 6.2 Use Proportions to Solve Geometry Problems
Lesson 6.3 Use Similar Polygons
Lesson 6.4 Prove Triangles Similar by AA
Lesson 6.5 Prove Triangles Similar by SSS and SAS
Lesson 6.6 Use Proportionality Theorems
Lesson 6.7 Perform Similarity Transformations
Chapter 7 Right Triangles and Trigonometry
Lesson 7.1 Apply the Pythagorean Theorem
Lesson 7.2 Use the Converse of the Pythagorean Theorem
Lesson 7.3 Use Similar Right Triangles
Lesson 7.4 Special Right Triangles
Lesson 7.5 Apply the Tangent Ratio
Lesson 7.6 Apply the Sine and Cosine Ratios
Lesson 7.7 Solve Right Triangles
Chapter 8 Quadrilaterals
Lesson 8.1 Find Angle Measures in Polygons
Lesson 8.2 Use Properties of Parallelograms
Lesson 8.3 Show that a Quadrilateral is a Parallelogram
Lesson 8.4 Properties of Rhombuses, Rectangles, and Squares
Lesson 8.5 Use Properties of Trapezoids and Kites
Lesson 8.6 Identify Special Quadrilaterals
Chapter 9 Properties of Transformations
Lesson 9.1 Translate Figures and Use Vectors
Lesson 9.2 Use Properties of Matrices
Lesson 9.3 Perform Reflections
Lesson 9.4 Perform Rotations
Lesson 9.5 Apply Compositions of Transformations
Lesson 9.6 Identify Symmetry
Lesson 9.7 Identify and Perform Dilations
Chapter 10 Properties of Circles
Lesson 10.1 Use Properties of Tangents
Lesson 10.2 Find Arc Measures
Lesson 10.3 Apply Properties of Chords
Lesson 10.4 Use Inscribed Angles and Polygons
Lesson 10.5 Apply Other Angle Relationships in Circles
Lesson 10.6 Find Segment Lengths in Circles
Lesson 10.7 Write and Graph Equations of Circles
Chapter 11 Measuring Length and Area
Lesson 11.1 Area of Triangles and Parallelograms
Lesson 11.2 Areas of Trapezoids, Rhombuses, and Kites
Lesson 11.3 Perimeter and Area of Similar Figures
Lesson 11.4 Circumference and Arc Length
Lesson 11.5 Areas of Circles and Sectors
Lesson 11.6 Areas of Regular Polygons
Lesson 11.7 Use Geometric Probability
Chapter 12 Surface Area and Volume of Solids
Lesson 12.1 Explore Solids
Lesson 12.2 Surface Area of Prisms and Cylinders
Lesson 12.3 Surface Area of Pyramids and Cones
Lesson 12.4 Volume of Prisms and Cylinders
Lesson 12.5 Volume of Pyramids and Cones
Lesson 12.6 Surface Area and Volume of Spheres
Lesson 12.7 Explore Similar Solids