Triangles 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

Triangles

What is the center of a triangle?  Do you need a straight forward method for finding the orthocenter of a triangle?  Do you need help with indirect proofs?  Do you need to see how the Law of Sines is developed?  Do you need to see how the geometric mean is applied to triangles?  Do you need to better understand triangle similarity?  Do you need to know triangle trigonometry?  What is the Hinge Theorem?  Need to understand what a midsegment is?  The Triangles Study Guide can help you.  The study guide is 45 pages long and has 68 worked problems.

Click to enlarge the title page.

How to find the orthocenter of a triangle. Click to enlarge.

Are a pair of congruent corresponding sides and a pair of congruent corresponding angles enough to determine triangle congruency? Click to enlarge.

What is the Hinge Theorem, and how is the theorem developed? Click to enlarge.

What is a triangle midsegment? Click to enlarge.

Using the Geometric Mean to find a part of a triangle side length. Click to enlarge.

The center of a triangle. Click to enlarge.

Finding the orthocenter of a triangle. Click to enlarge.

How is the Law of Sines developed? Click to enlarge.

Use the Hinge Theorem to find the variable of a triangle angle measure expression. Click to enlarge.

Why is a triangle midsegment parallel to the triangle base? Click to enlarge.

Distance from a vertex to the centroid. Click to enlarge.

Indirect proof that the Pythagorean Theorem holds true for a 3-4-5 right triangle. Click to enlarge.

Verification of the Side-Angle-Side Similarity Postulate. Click to enlarge.