6.7Triangle Proportionality Theorem
Quick Answer
Extensions of the Triangle Proportionality Theorem: the Angle Bisector Theorem states that an angle bisector divides the opposite side in the ratio of the adjacent sides.
Essential Question
How does the Angle Bisector Theorem extend proportional reasoning from parallel lines to angle bisectors within a triangle?
Learning Goals
- 1State the Angle Bisector Theorem.
- 2Apply the Angle Bisector Theorem to find missing lengths.
- 3Apply the Three Parallel Lines Theorem.
- 4Solve multi-step proportionality problems.
Key Vocabulary
Angle Bisector Theorem
An angle bisector of a triangle divides the opposite side into segments proportional to the adjacent sides.
Three Parallel Lines Theorem
Three parallel lines cut two transversals into proportional segments.
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.