Proving the Diameter Is the Longest Chord
Proving the Diameter Is the Longest Chord
Investigate why no chord of a circle can be longer than its diameter.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
What theorem did we use to compare the length of the chord with when does not pass through ?
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Open-ended question 2
Why are and both equal to ?
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Open-ended question 3
When does ? What kind of chord is MN in that case?
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Open-ended question 4
Can you find a chord longer than the diameter? Explain why or why not.
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Prerequisite Resources
More from Circle and its Parts
