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Holt Geometry, 2007

Answers, hints and solutions to all chapter exercises

Chapter 1

Foundations for Geometry

Are You Ready?
1. Understanding Points, Lines, and Planes
Technology Lab: Explore Properties Associated with Points
2. Measuring and Constructing Segments
3. Measuring and Constructing Angles
4. Pairs of Angles
Multi-Step Test Prep
Ready To Go On?
5. Using Formulas in Geometry
Connecting Geometry to Algebra: Graphing in the Coordinate Plane
6. Midpoint and Distance in the Coordinate Plane
7. Transformations in the Coordinate Plane
Technology Lab: Explore Transformations
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 2

Geometric Reasoning

Are You Ready?
1. Using Inductive Reasoning to Make Conjectures
Connecting Geometry to Number Theory: Venn Diagrams
2. Conditional Statements
3. Using Deductive Reasoning to Verify Conjectures
Geometry Lab: Solve Logic Puzzles
4. Biconditional Statements and Definitions
Multi-Step Test Prep
Ready To Go On?
5. Algebraic Proof
6. Geometric Proof
Geometry Lab: Design Plans for Proofs
7. Flowchart and Paragraph Proofs
Extension: Introduction to Symbolic Logic
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 3

Parallel and Perpendicular Lines

Are You Ready?
1. Lines and Angles
Connecting Geometry to Algebra: Systems of Equations
Technology Lab: Explore Parallel Lines and Transversals
2. Angles Formed by Parallel Lines and Transversals
3. Proving Lines Parallel
Geometry Lab: Construct Parallel Lines
4. Perpendicular Lines
Geometry Lab: Construct Perpendicular Lines
Multi-Step Test Prep
Ready To Go On?
5. Slopes of Lines
Technology Lab: Explore Parallel and Perpendicular Lines
6. 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

Chapter 4

Triangle Congruence

Are You Ready?
1. Classifying Triangles
Geometry Lab: Develop the Triangle Sum Theorem
2. Angle Relationships in Triangles
3. Congruent Triangles
Multi-Step Test Prep
Geometry Lab: Explore SSS and SAS Triangle Congruence
4. Triangle Congruence: SSS and SAS
Technology Lab: Predict Other Triangle Congruence Relationships
5. Triangle Congruence: ASA, AAS, and HL
6. Triangle Congruence: CPCTC
Connecting Geometry to Algebra: Quadratic Equations
7. Introduction to Coordinate Proof
8. 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

Chapter 5

Properties and Attributes of Triangles

Are You Ready?
1. Perpendicular and Angle Bisectors
2. Bisectors of Triangles
3. Medians and Altitudes of Triangles
Technology Lab: Special Points in Triangles
4. The Triangle Midsegment Theorem
Multi-Step Test Prep
Ready To Go On?
Connecting Compound Inequalities: Solving Compound Inequalities
Geometry Lab: Explore Triangle Inequalities
5. Indirect Proof and Inequalities in One Triangle
6. Inequalities in Two Triangles
Connecting Geometry to Algebra: Simplest Radical Form
Geometry Lab: Hands-on Proof of the Pythagorean Theorem
7. The Pythagorean Theorem
8. Applying Special Right Triangles
Geometry Lab: Graph Irrational Numbers
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 6

Polygons and Quadrilaterals

Are You Ready?
Geometry Lab: Construct Regular Polygons
1. Properties and Attributes of Polygons
Connecting Geometry to Algebra: Relations and Functions
Geometry Lab: Explore Properties of Parallelograms
2. Properties of Parallelograms
3. Conditions for Parallelograms
Multi-Step Test Prep
Ready To Go On?
4. Properties of Special Parallelograms
Technology Lab: Predict Conditions for Special Parallelograms
5. Conditions for Special Parallelograms
Technology Lab: Explore Isosceles Trapezoids
6. Properties of Kites and Trapezoids
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 7

Similarity

Are You Ready?
1. Ratio and Proportion
Technology Lab: Explore the Golden Ratio
2. Ratios in Similar Polygons
Technology Lab: Predict Triangle Similarity Relationships
3. Triangle Similarity: AA, SSS, and SAS
Multi-Step Test Prep
Ready To Go On?
Technology Lab: Investigate Angle Bisectors of a Triangle
4. Applying Properties of Similar Triangles
5. Using Proportional Relationships
6. 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

Chapter 8

Right Triangles and Trigonometry

Are You Ready?
1. Similarity in Right Triangles
Technology Lab: Explore Trigonometric Ratios
2. Trigonometric Ratios
Connecting Geometry to Algebra: Inverse Functions
3. Solving Right Triangles
Multi-Step Test Prep
Ready To Go On?
4. Angles of Elevation and Depression
Geometry Lab: Indirect Measurement Using Trigonometry
5. Law of Sines and Law of Cosines
6. Vectors
Extension: Trigonometry and the Unit Circle
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 9

Extending Perimeter, Circumference, and Area

Are You Ready?
Connecting Geometry to Algebra: Literal Equations
1. Developing Formulas for Triangles and Quadrilaterals
Geometry Lab: Develop π
2. Developing Formulas for Circles and Regular Polygons
3. Composite Figures
Geometry Lab: Develop Pick's Theorem for Area of Lattice Polygons
Multi-Step Test Prep
Ready To Go On?
4. Perimeter and Area in the Coordinate Plane
5. Effects of Changing Dimensions Proportionally
Connecting Geometry to Probability: Probability
6. Geometric Probability
Geometry Lab: Use Geometric Probability to Estimate π
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 10

Spatial Reasoning

Are You Ready?
1. Solid Geometry
2. Representations of Three-Dimensional Figures
Geometry Lab: Use Nets to Create Polyhedrons
3. Formulas in Three Dimensions
Multi-Step Test Prep
Ready To Go On?
4. Surface Area of Prisms and Cylinders
Geometry Lab: Model Right and Oblique Cylinders
5. Surface Area of Pyramids and Cones
6. Volume of Prisms and Cylinders
7. Volume of Pyramids and Cones
Connecting Geometry to Algebra: Functional Relationships in Formulas
8. 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

Chapter 11

Circles

Are You Ready?
1. Lines That Intersect Circles
Connecting Geometry to Data Analysis: Circle Graphs
2. Arcs and Chords
3. Sector Area and Arc Length
Multi-Step Test Prep
Ready To Go On?
4. Inscribed Angles
Technology Lab: Explore Angle Relationships in Circles
5. Angle Relationships in Circles
Technology Lab: Explore Segment Relationships in Circles
6. Segment Relationships in Circles
7. Circles in the Coordinate Plane
Extension: Polar Coordinates
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter 12

Extending Transformational Geometry

Are You Ready?
1. Reflections
2. Translations
Connecting Geometry to Algebra: Transformations of Functions
3. Rotations
Technology Lab: Explore Transformations with Matrices
4. Compositions of Transformations
Multi-Step Test Prep
Ready To Go On?
5. Symmetry
6. Tessellations
Geometry Lab: Use Transformations to Extend Tessellations
7. Dilations
Extension: Using Patterns to Generate Fractals
Study Guide: Review
Chapter Test
College Entrance Exam Practice
Test Tackler
Standardized Test Prep

Chapter

Extra Practice

Skills Practice
Applications Practice

Chapter

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

Chapter

Skills Bank

About this book

Publisher:

Holt, Rinehart and Winston

Author:

Burger, Chard, Hall, Kennedy, Leinwand, Renfro, Seymour, Waits

ISBN:

9780030358289

ISBN10:

0030358280

Course:

Geometry