# Chapter 1Foundations for Geometry Chapter 2Geometric Reasoning - PowerPoint PPT Presentation

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Chapter 1Foundations for Geometry Chapter 2Geometric Reasoning Chapter 3Parallel and Perpendicular Lines Chapter 4Triangle Congruence Chapter 5Properties and Attributes of Triangles Chapter 6Polygons and Quadrilaterals Chapter 7Similarity Chapter 8Right Triangles and Trigonometry

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Chapter 1Foundations for Geometry Chapter 2Geometric Reasoning

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#### Presentation Transcript

Chapter 1Foundations for Geometry

Chapter 2Geometric Reasoning

Chapter 3Parallel and Perpendicular Lines

Chapter 4Triangle Congruence

Chapter 5Properties and Attributes of Triangles

Chapter 7Similarity

Chapter 8Right Triangles and Trigonometry

Chapter 9Extending Perimeter, Circumference, and Area

Chapter 10Spatial Reasoning

Chapter 11Circles

Chapter 12Extending Transformational Geometry

Chapter 1Foundations for Geometry

1-1Understanding Points, Lines, and Planes

1-2Measuring and Constructing Segments

1-3Measuring and Constructing Angles

1-4Pairs of Angles

1-5Using Formulas in Geometry

1-6Midpoint and Distance in the Coordinate Plane

1-7Transformations in the Coordinate Plane

Chapter 2Geometric Reasoning

2-1Using Inductive Reasoning to Make Conjectures

2-2Conditional Statements

2-3Using Deductive Reasoning to Verify Conjectures

2-4Biconditional Statements and Definitions

2-5Algebraic Proof

2-6Geometric Proof

2-7Flowchart and Paragraph Proofs

2-ExtIntroduction to Symbolic Logic

Chapter 3Parallel and Perpendicular Lines

3-1Lines and Angles

3-2Angles Formed by Parallel Lines and Transversals

3-3Proving Lines Parallel

3-4Perpendicular Lines

3-5Slopes of Lines

3-6Lines in the Coordinate Plane

Chapter 4Triangle Congruence

4-1Classifying Triangles

4-2Angle Relationships in Triangles

4-3Congruent Triangles

4-4Triangle Congruence: SSS and SAS

4-5Triangle Congruence: ASA, AAS, and HL

4-6Triangle Congruence: CPCTC

4-7Introduction to Coordinate Proof

4-8Isosceles and Equilateral Triangles

4-ExtProving Constructions Valid

Chapter 5Properties and Attributes of Triangles

5-1Perpendicular and Angle Bisectors

5-2Bisectors of Triangles

5-3Medians and Altitudes of Triangles

5-4The Triangle Midsegment Theorem

5-5Indirect Proof and Inequalities in One Triangle

5-6Inequalities in Two Triangles

5-7The Pythagorean Theorem

5-8Applying Special Right Triangles

6-1Properties and Attributes of Polygons

6-2Properties of Parallelograms

6-3Conditions for Parallelograms

6-4Properties of Special Parallelograms

6-5Conditions for Special Parallelograms

6-6Properties of Kites and Trapezoids

Chapter 7Similarity

7-1Ratio and Proportion

7-2Ratios in Similar Polygons

7-3Triangle Similarity: AA, SSS, and SAS

7-4Applying Properties of Similar Triangles

7-5Using Proportional Relationships

7-6Dilations and Similarity in the Coordinate Plane

Chapter 8Right Triangles and Trigonometry

8-1Similarity in Right Triangles

8-2Trigonometric Ratios

8-3Solving Right Triangles

8-4Angles of Elevation and Depression

8-5Law of Sines and Law of Cosines

8-6Vectors

8-ExtTrigonometry and the Unit Circle

Chapter 9Extending Perimeter, Circumference, and Area

9-1Developing Formulas for Triangles and Quadrilaterals

9-2Developing Formulas for Circles and Regular Polygons

9-3Composite Figures

9-4Perimeter and Area in the Coordinate Plane

9-5Effects of Changing Dimensions Proportionally

9-6Geometric Probability

Chapter 10 Spatial Reasoning

10-1Solid Geometry

10-2Representations of Three-Dimensional Figures

10-3Formulas in Three Dimensions

10-4Surface Area of Prisms and Cylinders

10-5Surface Area of Pyramids and Cones

10-6Volume of Prisms and Cylinders

10-7Volume of Pyramids and Cones

10-8Spheres

10-ExtSpherical Geometry

Chapter 11 Circles

11-1Lines That Intersect Circles

11-2Arcs and Chords

11-3Sector Area and Arc Length

11-4Inscribed Angles

11-5Angle Relationships in Circles

11-6Segment Relationships in Circles

11-7Circles in the Coordinate Plane

11-ExtPolar Coordinates

Chapter 12 Extending Transformational Geometry

12-1Reflections

12-2Translations

12-3Rotations

12-4Compositions of Transformations

12-5Symmetry

12-6Tessellations

12-7Dilations

12-ExtUsing Patterns to Generate Fractals