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.


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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Pregunta abierta 1

What theorem did we use to compare the length of the chord with when does not pass through ?

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Pregunta abierta 2

Why are and both equal to ?

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Pregunta abierta 3

When does ? What kind of chord is MN in that case?

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Pregunta abierta 4

Can you find a chord longer than the diameter? Explain why or why not.

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