- How do we know that a set of lengths forms an acute, obtuse, right, or nonexistent triangle?
- What are special types of right triangles and their properties?
- What is trigonometry and how can we use it to solve problems?
- How do we know when two triangles are similar, and how can we use similarity to solve for missing information?
- The distance formula
- The Pythagorean Theorem and its converse
- 30-60-90 and 45-45-90 triangles
- Sine, cosine, and tangent
- Ratios and proportions
Skills and Processes:
- Using the Pythagorean Theorem and its converse
- Determining whether a triangle exists, and if so, what type it is, by its side lengths
- Using the special properties of 30-60-90 and 45-45-90 triangles to solve problems
- Discovering interior and exterior angle properties of triangles.
- Using sine, cosine, and tangent to solve right triangle problems.
- Using the SSS, SAS, and AA similarity conjectures to solve triangle problems.