1: Reasoning and Proof

1.1: Basic Constructions

Segment and Angle Bisectors

1.3: Conditional Statements

Biconditional Statements
Conditional Statements

1.4: Biconditional Statements

Biconditional Statements
Conditional Statements

2: Proving Theorems About Lines and Angles

2.1: Lines and Angles

Slope

2.2: Properties of Parallel Lines

Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Parallel, Intersecting, and Skew Lines

2.4: Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Parallel, Intersecting, and Skew Lines

2.6: Constructing Parallel and Perpendicular Lines

Constructing Congruent Segments and Angles
Constructing Parallel and Perpendicular Lines
Parallel, Intersecting, and Skew Lines

3: Congruent Triangles

3.1: Congruent Figures

Constructing Congruent Segments and Angles

3.2: Triangle Congruence by SSS and SAS

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent

3.3: Triangle Congruence by ASA and AAS

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent

3.4: Using Corresponding Parts of Congruent Triangles

Congruence in Right Triangles
Proving Triangles Congruent
Similar Figures

3.5: Isosceles and Equilateral Triangles

Classifying Triangles
Concurrent Lines, Medians, and Altitudes
Isosceles and Equilateral Triangles
Triangle Inequalities

3.6: Congruence in Right Triangles

Congruence in Right Triangles
Proving Triangles Congruent

3.7: Congruence in Overlapping Triangles

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent

3.8: Congruence Transformations

Dilations
Reflections
Rotations, Reflections, and Translations
Translations

4: Proving Theorems About Triangles

4.2: Perpendicular and Angle Bisectors

Concurrent Lines, Medians, and Altitudes
Constructing Parallel and Perpendicular Lines
Segment and Angle Bisectors

4.3: Bisectors in Triangles

Concurrent Lines, Medians, and Altitudes

4.4: Medians and Altitudes

Concurrent Lines, Medians, and Altitudes
Similarity in Right Triangles

4.6: Inequalities in One Triangle

Triangle Inequalities

4.7: Inequalities in Two Triangles

Triangle Inequalities

5: Proving Theorems About Quadrilaterals

5.1: The Polygon Angle-Sum Theorems

Polygon Angle Sum
Triangle Angle Sum

5.2: Properties of Parallelograms

Classifying Quadrilaterals
Parallelogram Conditions
Special Parallelograms

5.3: Proving That a Quadrilateral is a Parallelogram

Parallelogram Conditions
Special Parallelograms

5.4: Properties of Rhombuses, Rectangles, and Squares

Classifying Quadrilaterals
Perimeter and Area of Rectangles
Special Parallelograms

5.5: Conditions for Rhombuses, Rectangles, and Squares

Area of Parallelograms
Classifying Quadrilaterals
Perimeter and Area of Rectangles
Special Parallelograms
Square Roots

5.6: Trapezoids and Kites

Classifying Quadrilaterals

6: Similarity

6.1: Ratios and Proportions

Beam to Moon (Ratios and Proportions)
Perimeters and Areas of Similar Figures

6.2: Similar Polygons

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

6.3: Proving Triangles Similar

Similar Figures

6.4: Similarity in Right Triangles

Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Similarity in Right Triangles

6.6: Dilations

Dilations

6.7: Similarity Transformations

Circles
Dilations

7: Right Triangles and Trigonometry

7.1: The Pythagorean Theorem and Its Converse

Circles
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Surface and Lateral Areas of Pyramids and Cones

7.3: Trigonometry

Sine, Cosine, and Tangent Ratios

7.4: Angles of Elevation and Depression

Sine, Cosine, and Tangent Ratios

7.5: Areas of Regular Polygons

Area of Triangles

8: Circles

8.1: Circles and Arcs

Chords and Arcs
Circles
Inscribed Angles

8.2: Areas of Circles and Sectors

Circumference and Area of Circles

8.4: Chords and Arcs

Chords and Arcs
Inscribed Angles

8.5: Inscribed Angles

Circumference and Area of Circles
Inscribed Angles

8.6: Angle Measures and Segment Length

Inscribed Angles