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Thread: Transformation notation question

  1. #1
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    Transformation notation question

    Transformation notation question-geo-mapping-ask-help.jpg

    I taught middle school math and I'm somewhat familiar with transformations, but I have no idea what the notations in this problem mean. I looked in two geometry books with no luck. Google, no luck. Khan Academy, well, you get the idea. I'm tutoring two students who are doing distance learning, and I don't have access to their materials. I don't mind admitting that I don't know something, but I hate to look REALLY stupid.
    I meet with them tomorrow.
    rsn
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  2. #2
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    Re: Transformation notation question

    looks like $T_{a,b}$ is a translation $a$ units in the $x$-direction and $b$ units in the $y$-direction

    and $r_{x=y}$ a reflection across the line $x=y$
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  3. #3
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    Re: Transformation notation question

    Thank you for your helpful and rapid response. I'm attaching my work. I think that I have a proper explanation.Transformation notation question-geo-mapping-ask-help.jpg

    mrmac
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  4. #4
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    Re: Transformation notation question

    Looks good

    the inverse of a translation

    $$\left(T_{a,b}\right){}^{-1}=T_{-a,-b}$$

    the inverse of a reflection

    $$r^{-1}=r$$
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