Geometry. Chapter 1 Foundations for Geometry. Chapter 2 Geometric Reasoning. Chapter 3 Parallel and Perpendicular Lines. Chapter 4 Triangle Congruence

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1 Geometry 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 Chapter 9 Extending Transformational Geometry Chapter 10 Extending Perimeter, Circumference, and Area Chapter 11 Spatial Reasoning Chapter 12 Circles Chapter 13 Probability! 1

2 Chapter 1 Foundations for 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

3 Chapter 2 Geometric Reasoning 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 2.7 Lesson EXT Introduction to Symbolic Logic! 3

4 Chapter 3 Parallel and Perpendicular Lines 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

5 Chapter 4 Triangle Congruence 4.1 Congruence and Transformations 4.2 Classifying Triangles 4.3 Angle Relationships in Triangles 4.4 Congruent Triangles 4.5 Triangle Congruence: SSS and SAS 4.6 Triangle Congruence: ASA, AAS, and HL 4.7 Triangle Congruence: CPCTC 4.7 Lesson EXT Lines and Slopes 4.8 Introduction to Coordinate Proof 4.9 Isosceles and Equilateral Triangles 4.9 Lesson EXT Proving Constructions Valid! 5

6 Chapter 5 Properties and Attributes of Triangles 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

7 Chapter 6 Polygons and Quadrilaterals 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

8 Chapter 7 Similarity 7.1 Ratios in Similar Polygons 7.2 Similarity and Transformations 7.3 Triangle Similarity: AA, SSS, SAS 7.3 Lesson EXT Proving the Pythagorean Theorem 7.4 Applying Properties of Similar Triangles 7.5 Using Proportional Relationships 7.6 Dilations and Similarity in the Coordinate Plane 7.6 Lesson EXT Segment Partition! 8

9 Chapter 8 Right Triangles and Trigonometry 8.1 Similarity in Right Triangles 8.2 Trigonometric Ratios 8.2 Lesson EXT Trigonometric Ratios of Complementary Angles 8.3 Solving Right Triangles 8.4 Angles of Elevation and Depression 8.5 Law of Sines and Law of Cosines 8.6 Vectors! 9

10 Chapter 9 Extending Transformational Geometry 9.1 Reflections 9.2 Translations 9.3 Rotations 9.4 Compositions of Transformations 9.5 Symmetry 9.5 Lesson EXT Solids of Revolution 9.6 Tesellations 9.7 Dilations! 10

11 Chapter 10 Extending Perimeter, Circumference, and Area 10.1 Developing Formulas for Triangles and Quadrilaterals 10.2 Developing Formulas for Circles and Regular Polygons 10.3 Composite Figures 10.4 Perimeter and Area in the Coordinate Plane 10.5 Effects of Changing Dimensions Proportionally 10.6 Geometric Probability! 11

12 Chapter 11 Spatial Reasoning 11.1 Solid Geometry 11.2 Volume of Prisms and Cylinders 11.3 Volumes of Pyramids and Cones 11.4 Spheres! 12

13 Chapter 12 Circles 12.1 Lines That Intersect Circles 12.2 Arcs and Chords 12.3 Sector Area and Arc Length 12.3 Lesson EXT Measuring Angles in Radians 12.4 Inscribed Angles 12.5 Angle Relationships in Circles 12.6 Segment Relationships in Circles 12.7 Circles in the Coordinate Plane! 13

14 Chapter 13 Probability 13.1 Permutations and Combinations 13.2 Theoretical and Experimental Probability 13.3 Independent and Dependent Events 13.4 Two Way Tables 13.5 Compound Events! 14

Assignment List. Chapter 1 Essentials of Geometry. Chapter 2 Reasoning and Proof. Chapter 3 Parallel and Perpendicular Lines

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