Geometry Notes

Unit 1: Constructions and Rigid Transformations

1-1 Build It

1-2 Constructing Patterns

1-3 Construction Techniques 1: Perpendicular Bisectors

1-4 Construction Techniques 2: Equilateral Triangles

1-5 Construction Techniques 3: Perpendicular Lines and Angle Bisectors

1-6 Construction Techniques 4: Parallel and Perpendicular Lines

1-7 Construction Techniques 5: Squares

1-8 Using Technology for Constructions

1-9 Speedy Delivery

1-10 Rigid Transformations

1-11 Defining Reflections

1-12 Defining Translations

1-13 Incorporating Rotations

1-14 Defining Rotations

1-15 Symmetry

1-16 More Symmetry

1-17 Working with Rigid Transformations

1-18 Practicing Point by Point Transformations (skipped)

1-19 Evidence, Angles and Proof

1-20 Transformations, Transversals and Proof

1-21 One Hundred and Eighty

Unit 1 Review

Unit 2: Congruence

2-1 Congruent Parts, Part 1

2-2 Congruent Parts, Part 2

2-3 Congruent Triangles Part 1

2-4 Congruent Triangles, Part  2

2-5 Points, Segments and Zigzags

2-6 Side-Angle-Side Triangle Congruence

2-7 Angle-Side-Angle Triangle Congruence 

2-8 The Perpendicular Bisector Theorem

2-9 Side-Side-Side Congruence

2-10 Practicing Proofs

2-12 Proofs about Quadrilaterals

2-13 Proofs about Parallelograms

2-14 Bisect It

2-15 Congruence for Quadrilaterals 

Unit 3: Similarity

3-1 Scale Drawings

3-3 Measuring Dilations

3-4 Dilating Lines and Angles

3-5 Splitting Triangle Sides with Dilation, Part 1

Dream Room Project

3-6 Connecting Similarity and Transformations

3-7 Reasoning about Similarity with Transformations

3-8 Are They All Similar?

3-9 Conditions for Triangle Similarity

3-11 Splitting Triangle Sides with Dilation, Part 2

3-13 Using the Pythagorean Theorem and Similarity

3-14 Proving the Pythagorean Theorem

3-15 Finding all the Unknown Values in Triangles

Unit 4: Right Triangle Trigonometry

4-1 Angles and Steepness

4-2 Half a Square

4-3 Half an Equilateral Triangle

4-4 Ratios in Right Triangles 

4-5 Trig Ratios

4-6 Working with Trigonometric Ratios

4-7 Applying Ratios in Right Triangles

4-8 Sine and Cosine in the Same Right Triangle

4-9 Using Trigonometric Ratios to Find Angles

4-10 Solving Problems with Trigonometry 

Unit 5: Solid Geometry

5-1 Solids of Rotation

5-2 Slicing Solids

5-3 Creating Cross Sections by Dilating

5-4 Scaling and Area

5-5 Scaling and Unscaling

5-6 Scaling Solids

5-7 The Root of the Problem

5-8 Speaking of Scaling

5-9 Cylinder Volumes

5-10 Cross Sections and Volume

5-11 Prisms Practice

5-12 Prisms and Pyramids

5-13 Building a Volume Formula for a Pyramid

5-15 Putting all the Solids Together 

5-17 Volume and Density

Unit 6: Coordinate Geometry

6-1 Rigid Transformations in the Plane

6-2 Transformations as Functions

6-3 Types of Transformations

6-4 Distances and Circles

6-5 Squares and Circles

6-6 Completing the Square

6-7 Distances and Parabolas

6-8 Equations and Graphs

6-9 Equations of Lines

6-10 Parallel Lines in the Plane

6-11 Perpendicular Lines in the Plane

6-12 It's All on the Line

6-13 Intersection Points

6-14 Coordinate Proof

6-15 Weighted Averages

6-16 Weighted Averages in a Triangle

Unit 7: Circles

7-1 Lines, Angles, and Curves

7-2 Inscribed Angles

7-3 Tangent Lines

7-4 Quadrilaterals in Circles

7-5 Triangles in Circles

7-6 A Special Point

7-7 Circles in Triangles

7-8 Arcs and Sectors 

7-9 Part to Whole

7-10 Angles, Arcs, and Radii

7-11 A New Way to Measure Angles

7-12 Radian Sense

7-13 Using Radians 

7-14 Putting it All Together

Unit 8: Conditional Probability

8-1 Up to Chance

8-2 Playing with Probability

8-3 Sample Spaces

8-4 Tables of Relative Frequencies

8-5 Combining Events

8-6 The Addition Rule

8-7  Related Events

8-8 Conditional Probability

8-9 Using Tables for Conditional Probability

8-10 Using Probability to Determine Whether Events are Independent