# Plane Geometry

This course is designed to prepare students in the understanding of properties and applications in Euclidean geometry. Extensive use of definitions, postulates and theorems are used throughout this course to write proofs using deductive reasoning. Critical thinking skills are used in solving real world applications. Topics include parallel and perpendicular lines, congruence, similar and other properties of triangles, introduction to trigonometry, transformations, three dimensional concepts, conics, angles, polygons, circles, area, perimeter, surface area and volume. This course is equivalent to one year of High School Plane Geometry or one semester of college level Geometry.
Prerequisite: Either a year of high school Algebra l or one semester of Elementary Algebra with a grade of C or better.
UC Approved: Yes
Meets Common Core Requirements: Yes

## Chapter 1

Introduction to Geometry, Logic and Proofs

Lessons Homework HW Quiz
1.1   Defining Terms 1.1 1.1
1.2   Angles 1.2 1.2
1.3   Logic Statements 1.3 1.3
1.4   Algebra Properties 1.4 1.4
1.5   Introduction to Proofs 1.5 1.5
1.6   Angles Formed by Transversal, Parallel and Perpendicular Lines 1.6 1.6
1.7   Linear Equations 1.7 1.7

Chapter 1 Test (26 questions)

## Chapter 2

Triangles

Lessons Homework HW Quiz
2.1   Segments in a Triangle 2.1 2.1
2.2   Similar Triangles 2.2 2.2
2.3   Corresponding Parts and Congruency of Triangles 2.3 2.3
2.4   Right Triangle and Pythagorean Theorem 2.4 2.4
2.5   Isosceles and Equilateral Triangles 2.5 2.5
2.6   Proof by Contradiction 2.6 2.6

Chapter 2 Test (21 questions)

## Chapter 3

Introduction to Trigonometry

Lessons Homework HW Quiz
3.1   Special Right Triangles 3.1 3.1
3.2   Trigonometry 3.2 3.2
3.3   Applications of Trigonometry 3.3 3.3
3.4   Law of Cosines 3.4 3.4
3.5   Law of Sines 3.5 3.5

Chapter 3 Test (23 questions)

## Chapter 4

Polygons

Lessons Homework HW Quiz
4.1   Defining Polygons 4.1 4.1
4.3   Sum of Interior and Exterior Angles 4.3 4.3

Chapter 4 Test (18 questions)

## Chapter 5

Circles

Lessons Homework HW Quiz
5.1   Defining Circles 5.1 5.1
5.2   Circle Pairs 5.2 5.2
5.3   Objects in a Circle 5.3 5.3
5.4   Angles in a Circle 5.4 5.4

Chapter 5 Test (25 questions)

## Chapter 6

Constructions and Transformations

Lessons Homework HW Quiz
6.1   Constructions 6.1 6.1
6.2   Transformations - Rigid Motion 6.2 6.2
6.3   Transformations - Non-Rigid Motion 6.3 6.3

Chapter 6 Test (15 questions)

## Chapter 7

Perimeter of a Plane Figure

Lessons Homework HW Quiz
7.1   Polygons 7.1 7.1
7.2   Circles 7.2 7.2

Chapter 7 Test (14 questions)

## Chapter 8

Area of a Plane Figure

Lessons Homework HW Quiz
8.1   Triangles 8.1 8.1
8.2   Triangles using Trigonometry 8.2 8.2
8.3   Polygons 8.3 8.3
8.4   Circles 8.4 8.4
8.5   Applications 8.5 8.5

Chapter 8 Test (25 questions)

## Chapter 9

Surface Area

Lessons Homework HW Quiz
9.1   Polyhedrons 9.1 9.1
9.2   Cylinders, Cones & Spheres 9.2 9.2

Chapter 9 Test (16 questions)

## Chapter 10

Volume

Lessons Homework HW Quiz
10.1   Straight Solids 10.1 10.1
10.2   Pointed Solids 10.2 10.2
10.3   Spheres 10.3 10.3

Chapter 10 Test (18 questions)

## Chapter 11

Conic Sections

Lessons Homework HW Quiz
11.1   Circles 11.1 11.1
11.2   Parabolas 11.2 11.2
11.3   Ellipses 11.3 11.3
11.4   Hyperbolas 11.4 11.4

Chapter 11 Test (15 questions)

Final for Geometry (50 questions)