106 Geometry Problems
From the AwesomeMath Summer Program

106 Geometry Problems is probably the best geometry book I've ever read so far. It's a very through book, and covers many theorems and useful corollaries and propositions that can be applied. The example problems demonstrate the proved theorems very well, giving good insight to how the theorem was applied in this problem. The two problem sets, the "Introductory" and "Advanced" problems also were well chosen, giving me many good practice with the theorems that I learned, as well as proving a few new theorems as well. Overall, I recommend it, it's pretty useful for late AMC 10 to mid-late AIME.

A lot of the books I've had were quite basic and weren't very thought provoking with the problems and required less creativity processes. This book includes a fair amount of proof problems to ensure that you don't just memorize what to do in certain situations but you understand the concepts and greatly helps you learn when to apply them. This book also covers a lot of more advanced theorems and expands a bit on more widely used theorems such as showing how we can use the pythagorean theorem in non-right triangles to deduce more information. I prefer the concepts-first then problems format a lot better instead of the normal some concepts and then problems format repeated because there are more problems that mix and match ideas and concepts. This helps a lot especially with the last few problems of AMC 10 which often require combining multiple ideas and concepts together.

The 106 Geometry Problems from AMSP is a great book to expand and strengthen fundamental geometry knowledge for competitions. This book focuses on problem solving, with 106 geometry problems(introductory and advanced) to review the foundations covered in the beginning. The contents in the book are provided in great detail, with one specific chapter being Metric Relationships. This chapter provides a detailed proof on the Law of Cosine and Law of Sine formula and follows up with many applications of it in proofs, along with an USAMO problem that showed an exemplary problem of the benefit of the two formulas in competitions. This helped me understand the use of the formula and how to apply it to problems with difficulty below and above the example problem.

"106 Geometry Problems from the AwesomeMath Summer Program is one of the best geometry books that I have ever seen. This book targets people hoping to learn new, advanced concepts in geometry that they would not normally see in a school geometry course. The problems in this book are taken from contests from the AIMEs to IMO, along with some from other regional and national olympiads such as USAMO.

The book starts off with around 60 pages of concepts and theorems, and then around 10 pages of problems. Then the majority of the book is around 90 pages of detailed solutions, with some problems even having more than one solution!

What I like about this book is that the learning part of the book doesn’t just cover all of the possible configurations and teach a specific technique for every single imaginable problem, and instead, the book lets you figure out new results. The problems, even the introductory ones, are not trivial and are very high quality and hard. 106 Geometry Problems from the AwesomeMath Summer Program is definitely a book I would recommend to anyone, even an adult, who wants to learn more geometry.

Geometry has been my weakest subject for math competition. After going through the book slowly, I have been able to solve almost all geometry related problems in AMC 10. It helped me to grasp the concepts and think rationally toward geometry problems. It deserves a re-read after I finish this competition season before I move up to the next level geometry book."