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

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)

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)

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)

Polygons

Lessons | Homework | HW Quiz |
---|---|---|

4.1 Defining Polygons |
4.1 | 4.1 |

4.2 Quadrilaterals |
4.2 | 4.2 |

4.3 Sum of Interior and Exterior Angles |
4.3 | 4.3 |

**Chapter 4 Test** (18 questions)

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)

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)

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)

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)

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)

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)

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)

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