Butterfly Theorem: History & Applications


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Finish the statement: The butterfly theorem states that For any chord PQ of a circle, let M be the midpoint of PQ. If we draw two other chords, RS and VT, through M, draw the line segments RV and ST, and call the intersection points of RV and ST with PQ Y and X, then _____.

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1. Where does the butterfly theorem get its name from?

2. Who is credited with the original proof of the butterfly theorem?

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About This Quiz & Worksheet

The butterfly theorem is an important mathematical concept. You will be tested on the origin of the theorem, its applications and more.

Quiz & Worksheet Goals

The quiz covers:

  • A fact about the original proof of the butterfly theorem
  • A statement related to this mathematical concept
  • The origin of the butterfly theorem's name

Skills Practiced

  • Problem solving - use your knowledge to solve a butterfly theorem practice problem
  • Critical thinking - apply concepts from the lesson to deduce information from a geometric diagram
  • Knowledge application - utilize your understanding to name the person who created the original proof of the butterfly theorem

Additional Learning

Deepen your understanding of this topic by reading the lesson named Butterfly Theorem: History & Applications. This lesson discusses:

  • An application of the butterfly theorem that involves a hiking trail
  • Fields of study that have benefited from this mathematical concept
  • Early publications that referenced the butterfly theorem