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# Introduction to Geometry

Fundamentals of geometry, including angles, triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more.

This course is University of California a-g approved. Click here for more details.

24 weeks

#### Diagnostics

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SYLLABUS
24 weeks

### AoPS Holidays

There are no classes May 29 or July 4.

### Who Should Take?

This is the most challenging of our Introduction series of classes. We recommend that students complete our Introduction to Algebra B course, or are able to pass the Introduction to Algebra B post-test, prior to taking Introduction to Geometry.

### Lessons

 Lesson 1 Angles Lesson 2 Triangle Angles and Congruent Triangles Lesson 3 Isosceles & Equilateral Triangles, Perimeter, and Area Lesson 4 Similar Triangles Lesson 5 Similar Triangles and Right Triangles Lesson 6 More Right Triangles! Lesson 7 Special Parts of a Triangle Lesson 8 Special Parts of a Triangle, Continued! Lesson 9 Quadrilaterals Lesson 10 More Quadrilaterals Lesson 11 Polygons Lesson 12 Geometric Inequalities Lesson 13 Introduction to Circles Lesson 14 Circles and Angles Lesson 15 Tangents Lesson 16 Power of a Point Lesson 17 3D Geometry Part 1 Lesson 18 3D Geometry Part 2 Lesson 19 Transformations Lesson 20 Analytic Geometry Lesson 21 More Analytic Geometry Lesson 22 Basic Trigonometry Lesson 23 Problems! Lesson 24 More Problems!

### Required Textbook

 Introduction to Geometry By Richard Rusczyk A full course in challenging geometry for students in grades 7-10, including topics such as similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, introductory trigonometry, and more.

I don't even know where to begin! This class has really given me a better outlook on geometric topics and made me learn to love geometry just as much as algebra! I love how the class provided us more material to cover than regular school curriculums and also gave us problem solving strategies along the way! The teachers helped me a lot and as this is my fourth AoPS class, I really enjoyed spending 24 weeks together learning and soaking in all that the teacher had to say! Unfortunately, it makes me sad to see the class ending because I couldn't have asked for a better way to spend my Tuesday nights! I absolutely loved this class and I can't wait to see what else AoPS has in store! :)

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