Competition Mathematics Series
Competition Geometry
Euclidean Geometry and Competition Problem Solving
AMC 8 ReadyAngle ChasingTriangle TheoremsCircle Geometry
Grades 6–8
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About This Book
Comprehensive Euclidean geometry from angle basics through advanced competition theorems. Every problem includes a TikZ diagram. Covers all topics tested on AMC 8, MathCounts Sprint, and similar competitions for middle school students.
Table of Contents
1
Lines and Angles
2
Triangles — Fundamentals
3
Triangle Congruence
4
The Pythagorean Theorem and Special Right Triangles
5
Area and Perimeter
6
Polygon Properties
7
Quadrilaterals
8
Circles — Fundamentals
9
Three-Dimensional Geometry
10
Coordinate Geometry — Fundamentals
11
Similar Triangles
12
The Triangle Midsegment Theorem
13
The Angle Bisector Theorem
14
Quadrilaterals — Advanced Properties
15
Circle Angle Relationships
16
Lattice Geometry and Combinatorial Counting
17
Three-Dimensional Geometry — Advanced
18
Similar Triangles — Altitude to the Hypotenuse
19
Medians and the Centroid
20
Triangle Centers
21
Ceva's Theorem
22
Menelaus' Theorem
23
Stewart's Theorem
24
Heron's Formula and Brahmagupta's Formula
25
Ptolemy's Theorem
26
Radical Axis and Radical Center
27
British Flag Theorem
28
Mass Points
29
Area Methods and Routh's Theorem
30
Transformations
31
The Euler Line and Nine-Point Circle
32
Advanced Circle Theorems
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Why This Book?
Infinite Variations
Every practice set uses our AI-powered generator — the same numbers never appear twice.
Answers and Worked Methods
Every problem has an answer, and a full step-by-step solution for its method — nothing is left as just a number.
Competition Aligned
Difficulty and style are calibrated to AMC 8 and MathCounts standards.
Print Ready
Professionally typeset with LaTeX — sharp on any standard printer.