The Basics of Dilation - Reduction and Enlargement - Scale Factors
Dilations with centers on lines and off lines
Centers of Dilation
Coordinate Rules for Dilation
Constructing a Dilation
Ratios and Proportions
Similarity Definition
Solving for angles and sides in similar triangles.
Criteria for Similarity
Identifying the Similarity Criteria
Proof of Similarity
Proving and understanding the side splitting theorem.
Proving the Angle Bisector Theorem and the Pythagorean Theorem
Using the side splitting and angle bisector theorem to solve problems.
The geometric mean
Special Right Triangles 45 - 45 - 90
Working with a 30 - 60 - 90 triangle.
Understanding Trigonometry
Using trigonometric ratios to solve problems
Sine and Cosine as co-functions.
Trigonometry Word Problems
Doing more complex word problems with trigonometry
Calculating the Area of a Triangle using sides and angles.
Derive the Law of Sines and Understand when it works.
Understanding when the Law of Sines works and the issues with ASS.
Using the Law of Sines with the congruent cases of AAS and ASA.
Understanding ASS Cases - What do we expect to have for solutions?
Working out the caases from ASS - No solution - 1 solution - 2 solutions (the ambiguous case)
Deriving the Law of Cosines and understanding positive and negative values.
Using the Law of Cosine - SAS problem and a SSS problem
Applications of Law of Cosines - Surveryor, Bearing, & Vectors
