Proofs Study Guide
$1 Geometry Study Guide Downloads
1) Circles Study Guide
2) Triangles Study Guide
3) Proofs Study Guide
4) Angles Study Guide
5) Original Problem 20 for the Triangles Study Guide
6) 2-D Maps of the Prime Numbers
7) Fractal Distribution of Prime Numbers
8) Mathematical Model of Edward Leedskalnin's Perpetual Motion Holder
Proofs
What is a proof? What is the purpose of a proof? What is the basic structure of a mathematical proof? Why are the steps of a proof needed? Why is the order of the steps of a proofs important? Knowing these details, and more, regarding proofs will help better understand writing proofs in geometry. If you need to better understand writing geometry proofs, the Proofs Study Guide is very helpful. Some samples of the study guide are shown below.
Click to enlarge the title page.
Developing the formula for the height of an equilateral triangle. Click to enlarge.
Why is the interior angle measure sum of a planar triangle equal to 180 degrees? Click to enlarge.
Why is a planar line straight? Click to enlarge.
Why does the side opposite an angle for a triangle increase in size when the angle increases is size? Click to enlarge.
Why does an infinite amount of lines pass through a single point? Click to enlarge.
Why are vertical angles congruent? Click to enlarge.
Proof of the Centroid Theorem. Click to enlarge.
Why are opposite dihedral angles of a rectangular prism are congruent? Click to enlarge.
Why does only a single parallel line pass through a non-collinear point? Click to enlarge.
Why can only a single line pass through two points? Click to enlarge.
How can a 3-D angle have the same measure as a 2-D angle? Click to enlarge.
Why is the Midsegment Theorem true? Click to enlarge.
Why does the Pythagorean Theorem hold true only for right triangles? Click to enlarge.
