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		Geometry is just plane fun. There is no Royal Road to Geometry.- Euclid

Geometry

Geometry is the mathematics of points, lines, angles, shapes, curves, surfaces and the relationships between them.

Terms and Definitions

Assignments for 2007/08

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Class Notes

If time permits, class notes will be made available in PDF format. Be advised that these notes are not representative of all the material covered in class and are not a substitue for attending class. (In other words, do not expect them to make up for missed classes!)

These notes were started a couple of years ago and may no longer be up to date.

Section 1 - The Language of Geometry

1.1 Connections from Algebra: The Coordinate Plane
1.2 Points, Lines, and Planes
1.3 Problem Solving Strategies: List the Possibilities
1.4 Finding the Measures of Segments
1.5 Segment Relationships
1.6 Rays and Angles
1.7 Classifying Angles
1.8 Pairs of Angles
1.9 Right Angles and Perpendicular Lines
 

Section 2 - Reasoning and Introduction to Proof

2.1 Inductive Reasoning and Conjecturing
2.2 If-Then Statements, Converses, and Postulates
2.3 Deductive Reasoning (same as 2.2)
2.4 Properties from Algebra and Proof
2.5 Problem Solving Strategy: Process of Elimination
2.6 Two-Column Proof with Segments
2.7 Two-Column Proof with Angles
 

Section 3 - Paralles

3.1 Problem-Solving Strategy: Draw a Diagram
3.2 Paralles and Transversals
3.3 Using Parallel Lines
3.4 Proving Lines Parallel
3.5 Slopes of Lines
3.6 Paralles and Distance
 

Section 4 - Congurent Triangles

4.1 Classifying Triangles
4.2 Angle Measures in Triangles
4.3 Congruent Triangles
4.4 Tests for Congruent Triangles
4.5 Another Test for Congruent Triangles
4.6 Problem-Solving Strategy: Identify Subgoals
4.7 Isosceles Triangles
 

Section 5 - Applying Congruent Triangles

5.1 Special Segments in Triangles
5.2 Right Triangles
5.3 Problem-Solving Stragegy: Work Backward
5.4 Indirect Proof and Inequalities
5.5 Inequalities for Sides and Angles of a Triangle
5.6 The Triangle Inequality
5.7 Inequalities Involving Two Triangles
 

Section 6 - Applying Congruent Triangles

6.1 Parallelograms
6.2 Problem-Solving Strategy: Look for a Pattern
6.3 Tests for Paraellograms
6.4 Rectangles
6.5 Squares and Rhombi
6.6 Trapezoids
 

Section 7 - Similarity

7.1 Properties of Proportions
7.2 Applications of Proportions
7.3 Similar Polygons
7.4 Similar Triangles
7.5 Proportional Parts
7.6 Parts of Similar Triangles
7.7 Problem-Solving Strategy: Solve a Simpler Problem
 

Section 8 - Right Triangles and Trigonometry

8.1 The Geometric Mean
8.2 The Pythagorean Theorem
8.3 Special Right Triangles
8.4 Trigonometry
8.5 Application: Using Trigonometry
8.6 Law of Sines
8.7 Law of Cosines
8.8 Problem-Solving Strategy: Decision-Making
 

Section 9 - Circles

9.1 Parts of Circles
9.2 Angles and Arcs
9.3 Arcs and Chords
9.4 Inscribed Angles
9.5 Tangents
9.6 More Angle Measures
9.7 Special Segments in a Circle
9.8 Problem-Solving Strategy: Using Graphs
 

Section 10 - Polygons and Area

10.1 Polygons and Polyhedra
10.2 Angles of Polygons
10.3 Problem-Solving Strategy: Guess and Check
10.4 Area of Parallelograms
10.5 Area of Triangles, Rhombi, and Trapezoids
10.6 Area of Regular Polygons
10.7 Area and Circumference of a Circle
10.8 Geometric Probability
10.9 Polygons as Networks
 

Section 11 - Surface Area and Volume

11.1 Problem-Solving Strategy: Make a Model
11.2 Exploring Surface Area
11.3 Surface Area of Prisms and Cylinders
11.4 Surface Area of Pyramids and Cones
11.5 Volume of Prisms and Cylinders
11.6 Volume of Pyramids and Cones
11.7 Surface Area and Volume of Spheres
 

Section 12 - More Coordinate Geometry

12.1 Graphing Linear Equations
12.2 Writing Equations of Lines
12.3 Connections to Algebra and Statistics
12.4 Problem-Solving Strategy: Write an Equation
12.5 Coordinate Proof
12.6 Vectors
12.7 Coordinates in Space
 

Section 13 - Loci and Transformations

13.1 Locus
13.2 Locus and Systems of Equations
13.3 Intersection of Loci
13.4 Mappings
13.5 Reflections
13.6 Translations
13.7 Rotations
13.8 Dilations
13.9 Problem-Solving Strategy: Make a Table

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