Geometry2018-05-13T00:27:55+00:00

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

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

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
2-7 Flowchart and Paragraph Proofs

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

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
4-8 Introduction to Coordinate Proof
4-9 Isosceles and Equilateral Triangles

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

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

Chapter 7 Similarity

7-1 Ratios in Similar Polygons
7-2 Similarity and Transformations
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

Chapter 8 Right Triangles and Trigonometry

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

Chapter 9 Extending Transformational Geometry

9-1 Reflections
9-2 Translations
9-3 Rotations
9-4 Compositions of Transformations
9-5 Symmetry
9-6 Tessellations
9-7 Dilations

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

Chapter 11 Spatial Reasoning

11-1 Solid Geometry
11-2 Volume of Prisms and Cylinders
11-3 Volume of Pyramids and Cones
11-4 Spheres

Chapter 12 Circles

12-1 Lines That Intersect Circles
12-2 Arcs and Chords
12-3 Sector Area and Arc Length
12-4 Inscribed Angles
12-5 Angle Relationships in Circles
12-6 Segment Relationships in Circles
12-7 Circles in the Coordinate Plane

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

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