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

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

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Chapter 2 Geometric Reasoning

Chapter 3 Parallel and Perpendicular Lines

Chapter 4 Triangle Congruence

Chapter 5 Properties and Attributes of Triangles

Chapter 6 Polygons and Quadrilaterals

Chapter 7 Similarity

Chapter 8 Right Triangles and Trigonometry

Chapter 9 Extending Perimeter, Circumference, and Area

Chapter 10 Spatial Reasoning

Chapter 11 Circles

Chapter 12 Extending Transformational Geometry

1-1 Understanding Points, Lines, and Planes

1-2 Measuring and Constructing Segments

1-3 Measuring and Constructing Angles

1-4 Pairs of Angles

1-5 Using Formulas in Geometry

1-6 Midpoint and Distance in the Coordinate Plane

1-7 Transformations in the Coordinate Plane

2-1 Using Inductive Reasoning to Make Conjectures

2-2 Conditional Statements

2-3 Using Deductive Reasoning to Verify Conjectures

2-4 Biconditional Statements and Definitions

2-5 Algebraic Proof

2-6 Geometric Proof

2-7 Flowchart and Paragraph Proofs

2-Ext Introduction to Symbolic Logic

3-1 Lines and Angles

3-2 Angles Formed by Parallel Lines and Transversals

3-3 Proving Lines Parallel

3-4 Perpendicular Lines

3-5 Slopes of Lines

3-6 Lines in the Coordinate Plane

4-1 Classifying Triangles

4-2 Angle Relationships in Triangles

4-3 Congruent Triangles

4-4 Triangle Congruence: SSS and SAS

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

4-6 Triangle Congruence: CPCTC

4-7 Introduction to Coordinate Proof

4-8 Isosceles and Equilateral Triangles

4-Ext Proving Constructions Valid

5-1 Perpendicular and Angle Bisectors

5-2 Bisectors of Triangles

5-3 Medians and Altitudes of Triangles

5-4 The Triangle Midsegment Theorem

5-5 Indirect Proof and Inequalities in One Triangle

5-6 Inequalities in Two Triangles

5-7 The Pythagorean Theorem

5-8 Applying Special Right Triangles

6-1 Properties and Attributes of Polygons

6-2 Properties of Parallelograms

6-3 Conditions for Parallelograms

6-4 Properties of Special Parallelograms

6-5 Conditions for Special Parallelograms

6-6 Properties of Kites and Trapezoids

7-1 Ratio and Proportion

7-2 Ratios in Similar Polygons

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

7-4 Applying Properties of Similar Triangles

7-5 Using Proportional Relationships

7-6 Dilations and Similarity in the Coordinate Plane

8-1 Similarity in Right Triangles

8-2 Trigonometric Ratios

8-3 Solving Right Triangles

8-4 Angles of Elevation and Depression

8-5 Law of Sines and Law of Cosines

8-6 Vectors

8-Ext Trigonometry and the Unit Circle

9-1 Developing Formulas for Triangles and Quadrilaterals

9-2 Developing Formulas for Circles and Regular Polygons

9-3 Composite Figures

9-4 Perimeter and Area in the Coordinate Plane

9-5 Effects of Changing Dimensions Proportionally

9-6 Geometric Probability

10-1 Solid Geometry

10-2 Representations of Three-Dimensional Figures

10-3 Formulas in Three Dimensions

10-4 Surface Area of Prisms and Cylinders

10-5 Surface Area of Pyramids and Cones

10-6 Volume of Prisms and Cylinders

10-7 Volume of Pyramids and Cones

10-8 Spheres

10-Ext Spherical Geometry

11-1 Lines That Intersect Circles

11-2 Arcs and Chords

11-3 Sector Area and Arc Length

11-4 Inscribed Angles

11-5 Angle Relationships in Circles

11-6 Segment Relationships in Circles

11-7 Circles in the Coordinate Plane

11-Ext Polar Coordinates

12-1 Reflections

12-2 Translations

12-3 Rotations

12-4 Compositions of Transformations

12-5 Symmetry

12-6 Tessellations

12-7 Dilations

12-Ext Using Patterns to Generate Fractals