Angle Bisector Theorem: Definition and Example


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question 1 of 3

Which of the following is the correct ratio for the angle bisector theorem for this triangle?

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1. If BD = 1, DC = 2, AB = 2, what must AC equal for line segment AD to be an angle bisector?

2. If line segment AD is an angle bisector and AB=6, AC = 8, and BD = 3, what must DC equal?

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About This Quiz & Worksheet

This quiz and corresponding worksheet will help you gauge your understanding of the geometrical uses of the angle bisector theorem. The quiz will include practice problems to help you apply what you've learned from the lesson.

Quiz & Worksheet Goals

Use these assessment tools to assess your knowledge of:

  • Finding the correct ratio for the angle bisector theorem given a triangle
  • Finding the length of a line in a specific triangle
  • What the angle bisector theorem can help you find

Skills Practiced

This worksheet and quiz will let you practice the following skills:

  • Defining key concepts - ensure that you can accurately define main phrases, such as angle bisector theorem and line segment
  • Reading comprehension - ensure that you draw the most important information from the related lesson on the angle bisector theorem
  • Problem solving - use what you've learned about the angle bisector theorem to solve triangle practice problems

Additional Learning

To learn more about uses of the angle bisector theorem for triangles, review the corresponding lesson. This lesson covers the following objectives:

  • Know what the angle bisector theorem states
  • Understand how to write the angle bisector theorem using ratios
  • Use the theorem to determine if a line segment is an angle bisector or not
  • Practice using the theorem to find the length of a missing side