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March 30, 2017

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The coordinates of the vertices of CDE are C(1, 4), D(3, 6), and E(7, 4). If the triangle is reflected over the line y = 3, what are the coordinates of the image of D?

  • Geometry - ,

    This one is fairly easy. The x-coordinates do not change, since we are rotating around a horizontal axis.

    For the y-coordinates, just figure the distance above or below y=3, and change them to the same distance below or above.

    (1,4) is 1 unit above y=3. Make it one unit below: (1,2)

    similarly,
    (3,6) -> (3,3-(6-3)) = (3,0)
    (7,4) -> (7,3-(4-3)) = (7,2)

  • Geometry - ,

    (3,-6)

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