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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.

24 weeks

#### Diagnostics

ARE YOU READY? DO YOU NEED THIS?

SYLLABUS
24 weeks

## Schedule

### AoPS Holidays

There are no classes May 27‐29, July 4, September 2‐4, October 31, November 20‐27, and December 21‐January 3, 2024.

### 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 really enjoyed taking my first AoPS class. I always thought that online classes weren't very good. I was mistaken after I took this class. Not only did Introduction to Geometry help me become a better math student, it also helped me to think more abstractly and look for multiple roads to solve a problem. I enjoy the way the classroom is run and the pace was very nice. The class wasn’t boring at all. This class challenged me to become a better thinker and was way more challenging than regular school courses. I am also very glad that AoPS also included a little bit of a social aspect to math with the message boards. I made a lot of friends through this course. In school, I am always made fun of for being ahead of all of the other students. On AoPS I actually feel accepted for once because I can interact with kids that are more advanced than I am and also I learn from them. I will definitely take another AoPS class. Sign In