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Homework Help: Composition of transformations

  1. Oct 6, 2009 #1
    1. The problem statement, all variables and given/known data
    Suppose T is a rotation by 30 degrees about the point 2, and S is a rotation by 45 degrees about the point 4. What is T composed with S? Can you describe this transformation geometrically?

    2. Relevant equations

    3. The attempt at a solution
    I know T composed with S means S is the first transformation we want to do, and T is second. But I'm not sure how we can rotate about the point 4, and then rotate about the point 2.
  2. jcsd
  3. Oct 6, 2009 #2


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    Science Advisor
    Homework Helper

    Hi fk378! :wink:

    Hold your hand out, and put in on a table … that's point 2.

    Now rotate your whole body (keeping your arm stiff) 30º about point 2.

    Let your feet now be at point 4.

    Rotate your whole body (keeping your arm stiff) 45º about point 4.

    What's the result? :smile:
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