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Extra Examples
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Chapter 1 - Points, Lines, Planes, and Angles
Lesson 1 - Points, Lines, and Planes
Lesson 2 - Linear Measure and Precision
- G.1.2, G.8.9
Lesson 3 - Distance and Midpoints
- G.1.1, G.5.1, G.8.9
Lesson 4 - Angle Measure
- G.1.2, G.8.9
Lesson 5 - Angle Relationships
- G.1.2, G.8.9
Lesson 6 - Polygons
- G.2.1, G.2.5
Chapter 2 - Reasoning and Proof
Lesson 1 - Inductive Reasoning and Conjecture
- G.8.3, G.8.7
Lesson 2 - Logic
- G.8.7
Lesson 3 - Conditional Statements
- G.8.4, G.8.5, G.8.7
Lesson 4 - Deductive Reasoning
- G.8.4, G.8.5, G.8.7
Lesson 5 - Postulates and Paragraph Proofs
- G.8.2, G.8.3, G.8.6, G.8.7, G.8.8
Lesson 6 - Algebraic Proof
-G.8.3, G.8.6, G.8.7, G.8.8
Lesson 7 - Proving Segment Relationships
- G.8.3, G.8.6, G.8.7, G.8.8
Lesson 8 - Proving Angle Relationships
- G.8.3, G.8.6, G.8.7, G.8.8
Chapter 3 - Parallel and Perpendicular Lines
Lesson 1 - Parallel Lines and Transversals
Lesson 2 - Angles and Parallel Lines
- G.1.3, G.8.8
Lesson 3 - Slopes of Lines
- G.1.4
Lesson 4 - Equations of Lines
- G.1.4
Lesson 5 - Proving Lines Parallel
- G.1.2, G.1.3, G.1.4, G.8.8, G.8.9
Lesson 6 - Perpendiculars and Distance
- G.1.1, G.1.2, G.1.3, G.8.9
Chapter 4 - Congruent Triangles
Lesson 1 - Classifying Triangles
- G.4.1
Lesson 2 - Angles of Triangles
- G.8.6, G.8.7
Lesson 3 - Congruent Triangles
- G.2.4, G.3.4, G.4.6, G.8.6, G.8.7
Lesson 4 - Proving Congruence —SSS, SAS
- G.4.3, G.4.6, G.4.9, G.8.6, G.8.7
Lesson 5 - Proving Congruence —ASA, AAS
- G.3.4, G.4.3, G.4.6, G.8.2, G.8.6, G.8.7
Lesson 6 - Isosceles Triangles
- G.4.6, G.8.6, G.8.7
Lesson 7 - Triangles and Coordinate Proof
- G.1.1, G.1.4, G.2.6, G.4.9, G.8.7
Chapter 5 - Relationships in Triangles
Lesson 1 - Bisectors, Medians, and Altitudes
- G.4.2
Lesson 2 - Inequalities and Triangles
- G.4.8, G.8.7, G.8.8
Lesson 3 - Indirect Proof
- G.4.8
Lesson 4 - The Triangle Inequality
- G.4.8
Lesson 5 - Inequalities Involving Two Triangles
- G.4.8
Chapter 6 - Proportions and Similarity
Lesson 1 - Proportions
Lesson 2 - Similar Polygons
- G.2.3, G.2.4, G.2.6, G.8.2, G.8.8
Lesson 3 - Similar Triangles
- G.4.4, G.4.6, G.5.6, G.8.6, G.8.8
Lesson 4 - Parallel Lines and Proportional Parts
-G.1.2, G.1.3, G.4.4, G.4.5, G.8.6,
G.8.8, G.8.9
Lesson 5 - Parts of Similar Triangles
- G.4.4, G.4.6, G.5.2, G.8.6, G.8.8
Lesson 6 - Fractals and Self-Similarity
- G.8.1
Chapter 7 - Right Triangles and Trigonometry
Lesson 1 - Geometric Mean
- G.4.4, G.4.5, G.4.6, G.5.2, G.5.6
Lesson 2 - The Pythagorean Theorem and Its Converse
- G.5.1, G.5.6
Lesson 3 - Special Right Triangles
- G.5.3, G.5.6
Lesson 4 - Trigonometry
- G.5.4, G.5.6
Lesson 5 - Angles of Elevation and Depression
- G.5.4, G.5.6
Lesson 6 - The Law of Sines
- G.5.4
Lesson 7 - The Law of Cosines
- G.5.4, G.5.5
Chapter 8 - Quadrilaterals
Lesson 1 - Angles of Polygons
- G.2.1, G.2.2, G.2.6
Lesson 2 - Parallelograms
- G.3.1, G.3.4, G.8.6, G.8.8
Lesson 3 - Tests for Parallelograms
- G.3.1, G.3.4, G.8.6, G.8.8
Lesson 4 - Rectangles
- G.3.1, G.3.4, G.8.6, G.8.8
Lesson 5 - Rhombi and Squares
- G.3.1, G.3.4, G.8.6, G.8.8
Lesson 6 - Trapezoids
- G.3.1, G.3.4, G.8.6, G.8.8
Lesson 7 - Coordinate Proof and Quadrilaterals
- G.1.1, G.1.4, G.2.6, G.3.4, G.4.9, G.8.8
Chapter 9 - Transformations
Lesson 1 - Reflections
- G.2.4
Lesson 2 - Translations
- G.2.4
Lesson 3 - Rotations
- G.2.4
Lesson 4 - Tessellations
- G.2.4
Lesson 5 - Dilations
- G.2.4
Lesson 6 - Vectors
- G.1.1, G.5.4, G.5.6
Lesson 7 - Transformations with Matrices
- G.2.4
Chapter 10 - Circles
Lesson 1 - Circles and Circumference
- G.6.1, G.6.2, G.6.5, G.6.6, G.6.7
Lesson 2 - Angles and Arcs
- G.6.1, G.6.2, G.6.5,G.6.7
Lesson 3 - Arcs and Chords
- G.6.2, G.6.3, G.6.5
Lesson 4 - Inscribed Angles
- G.6.3, G.6.4, G.6.5
Lesson 5 - Tangents
- G.6.2, G.6.4, G.6.5
Lesson 6 - Secants, Tangents, and Angle Measures
- G.6.2, G.6.3, G.6.5
Lesson 7 - Special Segments in a Circle
- G.6.2, G.6.5
Lesson 8 - Equations of Circles
- G.6.8
Chapter 11 - Area and Volume
Lesson 1 - Areas of Parallelograms
- G.2.3, G.2.5, G.3.2, G.3.3
Lesson 2 - Areas of Triangles, Trapezoids, and Rhombi
- G.2.3, G.2.5, G.3.2, G.3.3,
G.4.4, G.4.7
Lesson 3 - Areas of Regular Polygons and Circles
- G.2.3, G.2.5, G.3.2, G.3.3
Lesson 4 - Areas of Irregular Figures
- G.2.5, G.3.3, G.6.7
Lesson 5 - Geometric Probability
- G.6.7
Chapter 12 - Surface Area
Lesson 1 - Three-Dimensional Figures
- G.7.1, G.7.3, G.7.4
Lesson 2 - Nets and Surface Area
- G.7.1, G.7.2, G.7.7
Lesson 3 - Surface Areas of Prisms
- G.7.7
Lesson 4 - Surface Areas of Cylinders
- G.7.7
Lesson 5 - Surface Areas of Pyramids
- G.7.7
Lesson 6 - Surface Areas of Cones
- G.7.7, G.8.2
Lesson 7 - Surface Areas of Spheres
- G.7.5, G.7.7
Chapter 13 - Volume
Lesson 1 - Volumes of Prisms and Cylinders
- G.7.7
Lesson 2 - Volumes of Pyramids and Cones
- G.7.7
Lesson 3 - Volumes of Spheres
- G.7.7
Lesson 4 - Congruent and Similar Solids
- G.7.6, G.7.7
Lesson 5 - Coordinates in Space
- G.1.1
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