Key Concepts:
- Similar Triangles Definition – Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional.
- Triangle Similarity Theorem:
- AA (Angle-Angle) – Two angles of one triangle match two angles of another.
- SSS (Side-Side-Side) – All three sides of two triangles are proportional.
- SAS (Side-Angle-Side) – Two corresponding sides of two triangles are proportional and their included angle match.
Skills Covered:
- Identifying similar triangles using triangle similarity theorem.
- Setting up and solving proportions to find missing side lengths.
- Applying similar triangle properties to real-world problems (e.g., shadow length, building height, breaking down a quadrilateral into triangles for easier calculations).