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Holt McDougal Geometry, 2009

Chapter 1

Foundation for Geometry

Are You Ready?
Understanding Point, Lines, and Planes
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
Midpoint and Distance in the Coordinate Plane
Transformations in the Coordinate Plane
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 2

Geometric Reasoning

Are You Ready?
Using Inductive Reasoning to Make Conjectures
Connecting Geometry to Number Theory
Conditional Statements
Using Deductive Reasoning to Verify Conjectures
Biconditional Statements and Definitions
Multi-Step Test Prep
Ready To Go On?
Algebraic Proof
Geometric Proof
Flowchart and Paragraph Proofs
Extension
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep
Real-World Connections

Chapter 3

Parallel and Perpendicular Lines

Are You Ready?
Lines and Angles
Connecting Geometry to Algebra
Angles Formed by Parallel Lines and Transversals
Proving Lines Parallel
Perpendicular Lines
Multi-Step Test Prep
Ready To Go On?
Slopes of Lines
Parallel and Perpendicular Lines
Scatter Plots and Lines of Best Fit
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 4

Triangle Congruence

Are You Ready?
Study Guide: Preview
Classifying Triangles
Angle Relationships in Triangles
Congruent Triangles
Multi-Step Test Prep
Ready To Go On?
Triangle Congruence: SSS and SAS
Triangle Congruence: ASA, AAS, and HL
Triangle Congruence: CPCTC
Connecting Geometry to Algebra
Introduction to Coordinate Proof
Isosceles and Equilateral Triangles
Extension
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep
Real-World Connections

Chapter 5

Properties and Attributes of Triangles

Are You Ready?
Perpendicular and Angle Bisectors
Bisectors of Triangles
Medians and Altitudes of Triangles
The Triangle Midsegment Theorem
Multi-Step Test Prep
Ready To Go On?
Connecting Geometry to Algebra
Indirect Proof and Inequalities in One Triangle
Inequalities in Two Triangles
The Pythagorean Theorem
Applying Special Right Triangles
Multi-Step Test Prep
Ready To Go On?
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 6

Polygons and Quadrilaterals

Are You Ready?
Properties and Attributes of Polygons
Connecting Geometry to Algebra
Properties of Parallelograms
Conditions for Parallelograms
Multi-Step test Prep
Ready To Go On?
Properties of Special Parallelograms
Conditions for Special Parallelograms
Properties of Kites and Trapezoids
Multi-Step Test Prep436
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep
Real-World Connections

Chapter 7

Similarity

Are You Ready?
Ratio and Proportion
Ratios in Similar Polygons
Triangle Similarity: AA, SSS, and SAS
Multi-Step Test Prep
Ready To Go On?
Applying Properties of Similar Triangles
Using Proportional Relationships
Dilations and Similarity in the Coordinate Plane
Connecting Geometry to Algebra
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 8

Right Triangles and Trigonometry

Are You Ready?
Similarity in Right Triangles
Trigonometric Ratios
Connecting Geometry to Algebra
Solving Right Triangles
Multi-Step Test Prep
Ready To Go On?
Angles of Elevation and Depression
Law of Sines and Law of Cosines
Vectors
Extension
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep
Real-World Connections

Chapter 9

Extending Perimeter, Circumference, and Area

Are You Ready?
Connecting Geometry to Algebra
Developing Formulas for Triangles and Quadrilaterals
Developing Formulas for Circles and Regular Polygons
Composite Figures
Connecting Geometry to Trigonometry
Multi-Step Test Prep
Ready To Go On?
Perimeter and Area in the Coordinate Plane
Effects of Changing Dimensions Proportionally
Connecting Geometry to Probability
Geometric Probability
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 10

Spatial Reasoning

Are You Ready?
Solid Geometry
Representations of Three-Dimensional Figures
Formulas in Three Dimensions
Multi-Step Test Prep
Ready To Go On?
Surface Area of Prisms and Cylinders
Surface Area of Pyramids and Cones
Volume of Prisms and Cylinders
Volume of Pyramids and Cones
Connecting Geometry to Algebra
Spheres
Extension
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep
Real-World Connections

Chapter 11

Circles

Are You Ready?
Lines That Intersects Circles
Connecting Geometry to Data Analysis
Arcs and Chords
Sector Area and Arc Length
Multi-Step Test Prep
Ready To Go On?
Inscribed Angles
Angle Relationships in Circles
Segment Relationships in Circles
Circles in the Coordinate Plane
Multi-Step Test Prep
Ready To Go On?
Extension
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 12

Extending Transformational Geometry

Are You Ready?
Reflections
Translations
Connecting Geometry to Algebra
Rotations
Compositions of Transformations
Multi-Step Test Prep
Ready To Go On?
Symmetry
Extension
Tessellations
Dilations
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep
Real-World Connections

Chapter

Additional Topics

Loci
Technology Lab: Trisect Line Segments
Technology Lab: Develop Pick's Theorem for Area of Lattice Polygons
Introduction to Graph Theory
Hamiltonian Circuits
Weighted Graphs
Lines Perpendicular to Planes
Perpendicular Planes

Chapter 1

Student Handbook

Skills Practice
Applications Practice

Chapter 2

Student Handbook

Skills Practice
Applications Practice

Chapter 3

Student Handbook

Skills Practice
Applications Practice

Chapter 4

Student Handbook

Skills Practice
Applications Practice

Chapter 5

Student Handbook

Skills Practice
Applications Practice

Chapter 6

Student Handbook

Skills Practice
Applications Practice

Chapter 7

Student Handbook

Skills Practice
Applications Practice

Chapter 8

Student Handbook

Skills Practice
Applications Practice

Chapter 9

Student Handbook

Skills Practice
Applications Practice

Chapter 10

Student Handbook

Skills Practice
Applications Practice

Chapter 11

Student Handbook

Skills Practice
Applications Practice

Chapter 12

Student Handbook

Skills Practice
Applications Practice

Chapter

Student 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

About this book

Publisher:

Houghton Mifflin Harcourt

Author:

Burger, Chard, Kennedy, Leinwand, Renfro, Roby, Waits

ISBN:

9780030995750

ISBN10:

0030995752

Course:

Geometry