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Math Help - Describing transformations

  1. #1
    Senior Member Mukilab's Avatar
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    Describing transformations

    Triangle P is reflexted in the x=1 to give triangle Q
    t Q is reflected in the x axis to give t R
    Describe fully the single transformation that maps t P onto t R

    I know it's rotated 180 degrees about a single point but I don't know which point that is. Could someone give me a method for this?
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  2. #2
    MHF Contributor
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    Experiment a little.

    If one point on P is (0,1), then
    That point on Q is (2,1), and
    That point on R is (2,-1)

    Are you sure it has to be a 180 rotation? How about a simple reflection through a point? Does it make any difference?

    Of course, it's always fortuitous to find a point that doesn't go anywhere.

    If one point on P is (x,y), then
    That point on Q is (1-(x-1),y), and
    That point on R is (1-(x-1),-y)

    Necessarily, then, we have y = -y and x = 1-(x-1). What do you get for x and y? What does that tell us?
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