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Foundations for Geometry
- Are You Ready?
- Understanding Points, Lines, and Planes
- Technology Lab: Explore Properties Associated with Points
- Measuring and Constructing Segments
- Measuring and Constructing Angles
- Pairs of Angles
- Multi-Step Test Prep
- Ready To Go On?
- Using Formulas in Geometry
- Connecting Geometry to Algebra: Graphing in the Coordinate Plane
- Midpoint and Distance in the Coordinate Plane
- Transformations in the Coordinate Plane
- Technology Lab: Explore Transformations
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Geometric Reasoning
- Are You Ready?
- Using Inductive Reasoning to Make Conjectures
- Connecting Geometry to Number Theory: Venn Diagrams
- Conditional Statements
- Using Deductive Reasoning to Verify Conjectures
- Geometry Lab: Solve Logic Puzzles
- Biconditional Statements and Definitions
- Multi-Step Test Prep
- Ready To Go On?
- Algebraic Proof
- Geometric Proof
- Geometry Lab: Design Plans for Proofs
- Flowchart and Paragraph Proofs
- Extension: Introduction to Symbolic Logic
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Parallel and Perpendicular Lines
- Are You Ready?
- Lines and Angles
- Connecting Geometry to Algebra: Systems of Equations
- Technology Lab: Explore Parallel Lines and Transversals
- Angles Formed by Parallel Lines and Transversals
- Proving Lines Parallel
- Geometry Lab: Construct Parallel Lines
- Perpendicular Lines
- Geometry Lab: Construct Perpendicular Lines
- Multi-Step Test Prep
- Ready To Go On?
- Slopes of Lines
- Technology Lab: Explore Parallel and Perpendicular Lines
- Lines in the Coordinate Plane
- Connecting Geometry to Data Analysis: Scatter Plots and Lines of Best Fit
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Triangle Congruence
- Are You Ready?
- Classifying Triangles
- Geometry Lab: Develop the Triangle Sum Theorem
- Angle Relationships in Triangles
- Congruent Triangles
- Multi-Step Test Prep
- Geometry Lab: Explore SSS and SAS Triangle Congruence
- Triangle Congruence: SSS and SAS
- Technology Lab: Predict Other Triangle Congruence Relationships
- Triangle Congruence: ASA, AAS, and HL
- Triangle Congruence: CPCTC
- Connecting Geometry to Algebra: Quadratic Equations
- Introduction to Coordinate Proof
- Isosceles and Equilateral Triangles
- Ready To Go On?
- Extension: Proving Constructions Valid
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Properties and Attributes of Triangles
- Are You Ready?
- Perpendicular and Angle Bisectors
- Bisectors of Triangles
- Medians and Altitudes of Triangles
- Technology Lab: Special Points in Triangles
- The Triangle Midsegment Theorem
- Multi-Step Test Prep
- Ready To Go On?
- Connecting Compound Inequalities: Solving Compound Inequalities
- Geometry Lab: Explore Triangle Inequalities
- Indirect Proof and Inequalities in One Triangle
- Inequalities in Two Triangles
- Connecting Geometry to Algebra: Simplest Radical Form
- Geometry Lab: Hands-on Proof of the Pythagorean Theorem
- The Pythagorean Theorem
- Applying Special Right Triangles
- Geometry Lab: Graph Irrational Numbers
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Polygons and Quadrilaterals
- Are You Ready?
- Geometry Lab: Construct Regular Polygons
- Properties and Attributes of Polygons
- Connecting Geometry to Algebra: Relations and Functions
- Geometry Lab: Explore Properties of Parallelograms
- Properties of Parallelograms
- Conditions for Parallelograms
- Multi-Step Test Prep
- Ready To Go On?
- Properties of Special Parallelograms
- Technology Lab: Predict Conditions for Special Parallelograms
- Conditions for Special Parallelograms
- Technology Lab: Explore Isosceles Trapezoids
- Properties of Kites and Trapezoids
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Similarity
- Are You Ready?
- Ratio and Proportion
- Technology Lab: Explore the Golden Ratio
- Ratios in Similar Polygons
- Technology Lab: Predict Triangle Similarity Relationships
- Triangle Similarity: AA, SSS, and SAS
- Multi-Step Test Prep
- Ready To Go On?
- Technology Lab: Investigate Angle Bisectors of a Triangle
- Applying Properties of Similar Triangles
- Using Proportional Relationships
- Dilations and Similarity in the Coordinate Plane
- Connecting Geometry to Algebra: Direct Variation
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Right Triangles and Trigonometry
- Are You Ready?
- Similarity in Right Triangles
- Technology Lab: Explore Trigonometric Ratios
- Trigonometric Ratios
- Connecting Geometry to Algebra: Inverse Functions
- Solving Right Triangles
- Multi-Step Test Prep
- Ready To Go On?
- Angles of Elevation and Depression
- Geometry Lab: Indirect Measurement Using Trigonometry
- Law of Sines and Law of Cosines
- Vectors
- Extension: Trigonometry and the Unit Circle
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Extending Perimeter, Circumference, and Area
- Are You Ready?
- Connecting Geometry to Algebra: Literal Equations
- Developing Formulas for Triangles and Quadrilaterals
- Geometry Lab: Develop π
- Developing Formulas for Circles and Regular Polygons
- Composite Figures
- Geometry Lab: Develop Pick's Theorem for Area of Lattice Polygons
- Multi-Step Test Prep
- Ready To Go On?
- Perimeter and Area in the Coordinate Plane
- Effects of Changing Dimensions Proportionally
- Connecting Geometry to Probability: Probability
- Geometric Probability
- Geometry Lab: Use Geometric Probability to Estimate π
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Spatial Reasoning
- Are You Ready?
- Solid Geometry
- Representations of Three-Dimensional Figures
- Geometry Lab: Use Nets to Create Polyhedrons
- Formulas in Three Dimensions
- Multi-Step Test Prep
- Ready To Go On?
- Surface Area of Prisms and Cylinders
- Geometry Lab: Model Right and Oblique Cylinders
- Surface Area of Pyramids and Cones
- Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
- Connecting Geometry to Algebra: Functional Relationships in Formulas
- Spheres
- Technology Lab: Compare Surface Areas and Volumes
- Extension: Spherical Geometry
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Circles
- Are You Ready?
- Lines That Intersect Circles
- Connecting Geometry to Data Analysis: Circle Graphs
- Arcs and Chords
- Sector Area and Arc Length
- Multi-Step Test Prep
- Ready To Go On?
- Inscribed Angles
- Technology Lab: Explore Angle Relationships in Circles
- Angle Relationships in Circles
- Technology Lab: Explore Segment Relationships in Circles
- Segment Relationships in Circles
- Circles in the Coordinate Plane
- Extension: Polar Coordinates
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Extending Transformational Geometry
- Are You Ready?
- Reflections
- Translations
- Connecting Geometry to Algebra: Transformations of Functions
- Rotations
- Technology Lab: Explore Transformations with Matrices
- Compositions of Transformations
- Multi-Step Test Prep
- Ready To Go On?
- Symmetry
- Tessellations
- Geometry Lab: Use Transformations to Extend Tessellations
- Dilations
- Extension: Using Patterns to Generate Fractals
- Study Guide: Review
- Chapter Test
- College Entrance Exam Practice
- Test Tackler
- Standardized Test Prep
Extra Practice
Problem-Solving Handbook
- Draw a Diagram
- Make a Model
- Guess and Test
- Work Backward
- Find a Pattern
- Make a Table
- Solve a Simpler Problem
- Use Logical Reasoning
- Use a Venn Diagram
- Make an Organized List
Skills Bank
- Operations with Real Numbers
- Order of Operations
- Properties
- Estimation, Rounding, and Reasonableness
- Classify Real Numbers
- Exponents
- Properties of Exponents
- Powers of 10 and Scientific Notation
- Square Roots
- Simplifying Square Roots
- The Coordinate Plane
- Connecting Words with Algebra
- Variables and Expressions
- Solving Linear Equations
- Solving Equations for a Variable
- Writing and Graphing Inequalities
- Solving Linear Inequalities
- Absolute Value
- Inverse Functions
- Direct Variation
- Functional Relationships in Formulas
- Transformations of Functions
- Polynomials
- Quadratic Functions
- Factoring to Solve Quadratic Equations
- The Quadratic Formula
- Solving Systems of Equations
- Solving Systems of Linear Inequalities
- Solving Radical Equations
- Matrix Operations
- Structure of Measurement Systems
- Rates and Derived Measurements
- Unit Conversions
- Accuracy, Precision, and Tolerance
- Relative and Absolute Error
- Significant Digits
- Choose Appropriate Units
- Nonstandard Units
- Use Tools for Measurement
- Choose Appropriate Measuring Tools
- Measures of Central Tendency
- Probability
- Organizing and Describing Data
- Displaying Data
- Scatter Plots and Trend Lines
- Quartiles and Box-and-Whisker Plots
- Circle Graphs
- Misleading Graphs and Statistics
- Venn Diagrams