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Math Help - I think logic is messing with me.

  1. #1
    Junior Member
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    I think logic is messing with me.

    I was given two diagrams and explanations.



    Given: \angle1=\angle2
    Implies: AB=CD and arc(AB)=arc(CD)

    Given: AB=CD
    Implies: \angle1=\angle2 and arc(AB)=arc(CD)

    Given: arc(AB)=arc(CD)
    Implies: \angle1=\angle2 and AB=CD


    Given; AB
    Implies: \angle1=\angle2

    Given: arc(AB)
    Implies: \angle1=\angle2

    Now I have to explain:

    1. Why is \angle1 equal to half of arc(AB)?
    2. Why is \angle2 equal to half of arc(CD)?
    3. If \angle1=\angle2, what can you say about arc(AB) and arc(CD)? Why?

    Like, I know the rules. I see the pictures, it's just there. It's always implied. Always the case. But I can't really EXPLAIN it or put it in words. It's so frustrating!

    Any help is appreciated. Thanks!
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  2. #2
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    Quote Originally Posted by nathan02079 View Post
    I was given two diagrams and explanations.

    ...

    Now I have to explain:

    1. Why is \angle1 equal to half of arc(AB)?
    2. Why is \angle2 equal to half of arc(CD)?
    3. If \angle1=\angle2, what can you say about arc(AB) and arc(CD)? Why?

    Like, I know the rules. I see the pictures, it's just there. It's always implied. Always the case. But I can't really EXPLAIN it or put it in words. It's so frustrating!

    Any help is appreciated. Thanks!
    Have a look here: Inscribed angle - Wikipedia, the free encyclopedia
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