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Math Help - Isometry

  1. #1
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    Isometry

    What is isometry in high school geometry?

    Do you have one or two sample questions?
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  2. #2
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    Quote Originally Posted by symmetry View Post
    What is isometry in high school geometry?

    Do you have one or two sample questions?
    An isometry is a function (or a transformation) such that preserves distance.

    For example,
    A rotation is an isometry.

    Becuase if two points are rotated their new image is the same distance are it was before.
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  3. #3
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    Quote Originally Posted by ThePerfectHacker View Post
    An isometry is a function (or a transformation) such that preserves distance.

    For example,
    A rotation is an isometry.

    Becuase if two points are rotated their new image is the same distance are it was before.
    Rotation, Translation and Reflection. IIRC all others Isometries of the plane can be generated by
    a composition of these.

    RonL
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  4. #4
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    Quote Originally Posted by symmetry View Post
    What is isometry in high school geometry?

    Do you have one or two sample questions?
    Isometry is a bijective function (transformation) which transforms figure F_1 into figure F_2 while preserving congruence of line segments.

    Formally, for every two pair of points (A,B) and (A_1,B_1)
    I(A) = A_1  \wedge I(B) = B_1  \Rightarrow A_1 B_1  = AB
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  5. #5
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    Okay

    Good replies.

    OReilly, don't get too technical.

    Let's keep things simple.
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  6. #6
    Senior Member OReilly's Avatar
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    Quote Originally Posted by symmetry View Post
    Good replies.

    OReilly, don't get too technical.

    Let's keep things simple.
    You couldn't get simpler than that.

    You had to learn first functions and congruence in order to learn isometry.

    And math isn't simple...
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  7. #7
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    Yes...

    Math is not simple.

    You are right, OReilly.
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