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
Individual Examples
/Section 1.1/#3
/Section 3.2/#7
/Section 1.3/#19
/Section 1.3/#21
Finding a Midset (21 from 1.3)
/Section 3.2/#26
/3.2/#44
/Section 2.1/#6
/Section 3.1/#23
9 from 2.1, Proof by Picture using Venn Diagrams
/Problem/#22 from Section 1.3, Drawing a Parabola
Section 2.1 Basic Set Theory number 10
/Section 2.1/#7
/Section 1.2/#11
/Continued Fractions, Section 3.2/#30
/Proving Sets Equal, Section 2.1/#11
/If-Then Truth Tables, Section 2.2/#3
/Proof by Vienn Diagrams Section 2.1/#5
/Section 2.2/#2
Section 2-3/#3 Tessellating Nonregular Hexagons
/Section 2.3/#6
/Section 2.4/#14
/Section 2.4:/#24
/Section 2.1/#12
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/#17
Lesson 17- Properties of Triangles