6.6Proportional Segments in Triangles
Quick Answer
The Triangle Proportionality Theorem states that a line parallel to one side of a triangle divides the other two sides proportionally. The converse is also true.
Essential Question
How does a line parallel to one side of a triangle create proportional segments, and how can you use this to find missing lengths?
Learning Goals
- 1State the Triangle Proportionality Theorem.
- 2Apply the theorem to find missing segment lengths.
- 3State and apply the converse.
- 4Use the theorem in multi-step problems.
Key Vocabulary
Triangle Proportionality Theorem
A line parallel to one side of a triangle divides the other two sides proportionally.
Proportional segments
Segments whose lengths form equal ratios.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.