Welcome to Geometry Theorems and Problems! Level: High School, SAT Prep, College geometry

Mind Map of How to Solve Problems
George Pólya's 1945 book How to Solve It is a book describing methods of problem solving.

 Mind Map of the Pythagorean Theorem Proofs by shears, translation, similarity. Facts. Brahmagupta Formula Extension Area of any quadrilateral. Brahmagupta's Theorem Cyclic quadrilateral. Brahmagupta's Corollary Cyclic quadrilateral. Brahmagupta's Formula  Area of a cyclic quadrilateral. Proposed Problem 50, 49, 48, 47, 46, 45, 44, 43. Proposed Problem 42. Angles and triangles. Sangaku Problem 41. "Mickey Mouse." Proposed Problem 40. Triangle, Incenter, Excenter, Angles 80, 40, Distances.
 Table of Content Triangles. Theorems and problems about triangles. Circles. Theorems and problems about circles. Apollonius' Tangency Problem for Three Circles Illustration with animation and sound. Butterfly Theorem. See also: Butterfly Theorem Puzzle Euler and his beautiful and extraordinary formula that links the 5 fundamental constants e, i, Pi , 1 and 0, together! Eyeball Theorem. Illustration Heron's Formula. Key facts and a purely geometric step-by-step proof. Langley Problem: 20° Isosceles Triangle Adventitious angles. Lemoine Theorem Animated Angle Miquel's Pentagram. Dynamic Geometry Cabri, GSP, Cinderella, C.a.R. Monge & d'Alembert Three Circles Theorem I - Dynamic Geometry Requires Java applet 1.3 or higher. Monge & d'Alembert Three Circles Theorem II - Dynamic Geometry Requires Java applet 1.3 or higher. Nagel Point Theorem. See also: Nagel Point Flowchart Proof, Nagel Point Puzzle. Pentagons and Pentagrams. Menelaus and Collinearity Platonic Solids. Interactive animation. Proposed Problems about congruence of line segments, angles, and triangles. Level: High School, SAT Prep, College geometry. Triangle & squares. 22 theorems, visual illustrations. Triangle with Squares 0 Two squares. Triangle with Squares 1 Two squares. Triangle with Squares 2 Two squares. Triangle with Squares 3 Three squares. Triangle with Squares 4 Finsler-Hadwiger Theorem. Triangle with Squares 5 Two squares, median and altitude. Triangle with Squares 6 Four squares.

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