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Math Help - Chords and Minor Arcs

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    Chords and Minor Arcs

    If two chords of a circle have the same length, then their minor arcs have the same length too. True or false? Explain. What about the converse statement? Is it true? Why?

    I am able to prove the first part of this problem, but I am having trouble with the converse. How would I go about proving the converse?
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  2. #2
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    Quote Originally Posted by thamathkid1729 View Post
    If two chords of a circle have the same length, then their minor arcs have the same length too. True or false? Explain. What about the converse statement? Is it true? Why? How would I go about proving the converse?
    Without knowing the theorems you have proven, this is just a guess.
    The two minor arcs have the same length.
    Join each endpoint to the center. Why are those two central angles congruent? Can you use SAS?
    That should do it.
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