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help with rotation in geometry.?

figure TUV is graphed T (1,1) U (2, 5) V (4,0)

1. Find the coordinates of the vertices of triangle TUV after a 90 degree counter clockwise rotation.

2.Find the coordinates of the vertices of triangle TUV after a 90 degree clockwise rotation.

3.find the coordinates of the vertices of triangle TUV after a 180 degree clockwise rotation.

1 Answer

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  • 1 decade ago
    Favorite Answer

    You may need to clarify what level you are working at.

    If I were asked to do that, I would write the points as column vectors and multiply by the rotation matrix:

    / cos(Angle) sin(Angle) \

    \-sin(Angle) cos(Angle) /

    Many calculators now do matrix multiplication, and I have computer programs I wrote for precisely these calculations. However, for the angles you request the matrix coefficients are all 0 or 1 or -1. Easy to multiply!

    Another alternative is to take a piece of graph paper, draw the figure, rotate the paper, and read off the new coordinates after relabeling the new x-axis and the new y-axis.

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