Ideas in Geometry/Instructive examples

This page will serve as an index of all problems worked out as instructive examples of the concepts involved in the course Ideas in Geometry/.

List the examples here as links.

Group Examples
Proving the Pythagorean Theorem By Picture/

/Pythagorean Theorem Proof by Picture-Leonardo da Vinci Proof/

/Proving the Area of a Quadrilateral/

/Proving the Area of a Trapezoid/

/Proving Parallel Bisectors in Quadrilaterals/

/Proving Pythagorean Theorem Using Similar Angels/

Individual Examples
/Section 1.1/

/Section 3.2/

/Section 1.3/

/Section 1.3/

/Finding a Midset (21 from 1.3)/

/Section 3.2/

/Section 3.2 Number 28/

/3.2/

/Section 2.1/

/Section 3.1/

/9 from 2.1, Proof by Picture using Venn Diagrams/

/Problem/

/Section 2.1 Basic Set Theory number 10/

Section 2.3 #4

Section 2.4 problem 23

/Section 2.1/

/Section 1.2/

/Continued Fractions, Section 3.2/

/Proving Sets Equal, Section 2.1/

/If-Then Truth Tables, Section 2.2/

/Proof by Vienn Diagrams Section 2.1/

/Section 2.2/

/Section 2-3/

/Section 2.3/

/Monty Hall Lesson/

/Section 2.4/

/Section 2.4:/

/Section 2.1/

/Section 3.2 Problem 42 - Lattice Area, Pick's Theorem, and Probability/

/Section 3.2 Problem 7-Using Brahmagupta's Formula/

/Section 1.2 problem/

Lesson 10 logic

/Lesson 17- Properties of Triangles/

/Lesson 15: Tessellations/

/Lesson 6: Introduction to City Geometry/

/Lesson 4: Algebraic Geometry/

/Lesson twenty Eight: Fields/

/Lesson 1: Euclid's Axioms/

/Lesson 21: Wacky Dice/