Chapter 1:Geometric Figures-What's My Name?

Section 1.1: Basic Geometric FiguresSection

1.2: More Geometric Figures

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Chapter 2:Logical Reasoning-Riddle Me This

Section 2.1: Inductive ReasoningSection

2.2: Deductive Reasoning

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Exercise 15Chapter 3:The Axiomatic System of Geometry- Back to the Beginning

Section 3.1: Geometric Definitions and Two-Column ProofsSection

3.2: Conditional StatementsSection

3.3: Converse, Inverse, and Contrapositive

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Chapter 4:Segment and Angle Measurement-It All Adds Up

Section 4.1: Segments and MidpointsSection

4.2: Angles and Angle Bisectors

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Chapter 5:The Distance and Midpoint Formulas-We ❤ Descartes

Section 5.1: Distance on the Coordinate PlaneSection

5.2: Midpoint on the Coordinate Plane

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Chapter 6:Proofs about Line Segments and Angles-Now I'm Convinced

Section 6.1: Justifying StatementsSection

6.2: Two-Column Geometric Proofs

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Chapter 7:Parallel and Perpendicular Lines-Patios By Madeline

Section 7.1: Parallel Lines and Angle RelationshipsSection

7.2: Proving Lines are ParallelSection

7.3: Perpendicular Lines

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Chapter 8:Equations of Parallel and Perpendicular Lines-Skateboard Geometry

Section 8.1: Slopes of Parallel and Perpendicular LinesSection

8.2: Writing Equations

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Chapter 9:Translations, Reflections, and Rotations-The Marching Cougars

Section 9.1: TransformationsSection

9.2: TranslationsSection

9.3: ReflectionsSection

9.4: Rotations

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Chapter 10:Compositions and Congruence-More Rigid Motions

Section 10.1: Compositions of TransformationsSection

10.2: Congruence

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Chapter 11:Congruence Transformations and Triangle Congruence-Truss Your Judgment

Section 11.1: Congruent TrianglesSection

11.2: Congruence CriteriaSection

11.3: Proving and Applying the Congruence CriteriaSection

11.4: Extending the Congruence Criteria

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Chapter 12:Flowchart Proofs-Go with the Flow

Section 12.1: Flowchart ProofsSection

12.2: Three Types of Proofs

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Chapter 13:Properties of Triangles-Best Two Out of Three

Section 13.1: Angle Relationships in TrianglesSection

13.2: Isosceles Triangle

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Chapter 14:Concurrent Segments in Triangles-What the Point?

Section 14.1: Altitudes of a TriangleSection

14.2: Medians of a TriangleSection

14.3: Perpendicular Bisectors and Angle Bisectors of a Triangle

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Chapter 15:Quadrilaterals and Their Properties-A 4-gon Hypothesis

Section 15.1: Kites and Triangle MidsegmentsSection

15.2: TrapezoidsSection

15.3: ParallelogramsSection

15.4: Rectangles, Rhombuses, and Square

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Chapter 16:More About Quadrilaterals-A 4-gon Conclusion

Section 16.1: Proving a Quadrilateral is a ParallelogramSection

16.2: Proving a Quadrilateral is a RectangleSection

16.3: Proving a Quadrilateral is a RhombusSection

16.4: Proving a Quadrilateral is a Square

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Chapter 17:Dilations and Similarity Transformations-Scaling Up/Scaling Down

Section 17.1: DilationsSection

17.2: Similarity TransformationsSection

17.3: Properties of Similar Figures

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Chapter 18:Similar Triangles-Measuring Up

Section 18.1: Similarity CriteriaSection

18.2: Using Similarity CriteriaSection

18.3: Triangle Proportionality

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Chapter 19:Geometric Mean-Do You Mean It?

Section 19.1: The Right Triangle Altitude TheoremSection

19.2: The Geometric Mean

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Chapter 20:The Pythagorean Theorem and Its Converse-Is That Right?

Section 20.1: Pythagorean TheoremSection

20.2: Converse of the Pythagorean Theorem

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Chapter 21:Special Right Triangles-The Community Quilting Project

Section 21.1: 45° 45° 90° TrianglesSection 21.2:

30° 60° 90° Triangles

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Chapter 22:Basic Trigonometric Relationships-The Sine of Things to Come

Section 22.1: Similar Right TrianglesSection

22.2: Trigonometric RatiosSection

22.3: Using Trigonometric RatiosSection

22.4: Solving Right Triangles

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Chapter 23:The Law of Sines and of Cosines-There Ought to Be a Law

Section 23.1: The Law of SinesSection

23.2: The Ambiguous CaseSection

23.3: The Law of CosinesSection

23.4: Solving Triangles

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Chapter 24:Tangents and Chords-Off On a Tangent

Section 24.1: Circle BasicsSection

24.2: Theorems About ChordsSection

24.3: Tangent Segments

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Chapter 25:Arcs and Angles-Coming Full Circle

Section 25.1: Arcs and Central AnglesSection

25.2: Inscribed AnglesSection

25.3: Angles Formed by ChordsSection

25.4: Angles Formed by Tangents and Secants

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Chapter 26:Coordinate Proofs-Prove It!

Section 26.1: Proving the Midpoint FormulaSection

26.2: Proofs about SlopeSection

26.3: Proving Concurrency of MediansSection

26.4: Points Along a Line Segment

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Chapter 27:Equation of a Circle-Round and Round

Section 27.1: Circles on the Coordinate PlaneSection

27.2: Completing the Square to Find the Center and Radius

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Chapter 28:Equations of Parabolas-Throwing a Curve

Section 28.1: Parabolas on the Coordinate PlaneSection

28.2: Parabolas with Vertex (h,k)

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Chapter 29:Constructions-Constructive Thinking

Section 29.1: Constructions with Segments and AnglesSection

29.2: Constructions with Parallel and Perpendicular LinesSection

29.3: Constructions with Circles

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Chapter 30:Deriving Area Formulas-Shape Up

Section 30.1: Areas of Rectangles and ParallelogramsSection

30.2: Areas of TrianglesSection

30.3: Areasof Rhombuses and Trapezoids

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Chapter 31:Regular Polygons-Plenty of Polygons

Section 31.1: Sum of the Measures of the Interior Angles of a PolygonsSection

31.2: Regular Polygons and Exterior AnglesSection

31.3: Area and Perimeter of Regular Polygons

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Chapter 32:Length and Area of Circles-Pi in the Sky

Section 32.1: Circumference and Area of a CircleSection

32.2: Sectors and ArcsSection

32.3: Circles and Similarity

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Chapter 33:Three-Dimensional Figures-What's Your View

Section 33.1: Prisms and PyramidsSection

33.2: Cylinders and ConesSection

33.3: Spheres and Solids of Rotation

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Chapter 34:Prisms and Cylinders-Exterior Experiences

Section 34.1: Surface Area of Prisms and CylindersSection

34.2: Volume of Prisms and Cylinders

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Chapter 35:Pyramids and Cones-Perfect Packaging

Section 35.1: Surface Area of Pyramids and ConesSection

35.2: Volumes of Pyramids and ConesSection

35.3: Density

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Chapter 36:Spheres-Isn't that Spatial

Section 36.1: Surface Area of SpheresSection

36.2: Volume of SpheresSection

36.3: Spherical Geometry

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Chapter 37:Changing Dimensions-Model Behavior

Section 37.1: Cubes and SpheresSection

37.2: Pyramids and Cylinders

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Chapter 38:Sample Spaces-SpringBoard Superstar and More

Section 38.1: Probability of a Single EventSection

38.2: Events Involving "And" and "Or"

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Chapter 39:Venn Diagrams and Probability Notation-Annabel HS

Section 39.1: Using a Venn Diagram to Represent a Sample SpaceSection

39.2: Using a Venn Diagram to Represent "And","Or", and "Not"

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Chapter 40:Addition Rule and Mutually Exclusive Events-Hector St.

Section 40.1: Applying the Addition RuleSection

40.2: Adapting the Addition Rule for Mutually Exclusive Events

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Chapter 41:Dependent Events-Coco Wildlife Conservation Trust

Section 41.1: Understanding Conditional ProbabilitySection

41.2: The Conditional Probability FormulaSection

41.3: Tree Diagrams

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Chapter 42:Independent Events-The Caribou, the Bear, and the Tyrannosaurus

Section 42.1: The Multiplaction RuleSection

42.2: Geometric ProbabilitySection

42.3: Permutations and Combinations

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