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A triangle has vertices with coordinates (2, 0), (3, -1), and (-2, -5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image.

  • math -

    If the scale factor is 3, then

    A(2,0) ----> A' (6,0)
    B(3,-1) ---> B' (9,-3)
    C(-2,-5) --> C' (-6,-15)

    Can't get any simpler than that.

    Might be a good idea to graph the original triangle and the new triangle.
    What do you notice ?

  • math -

    The vertices of triangle ABC are A(3, -6), B(6,3), C(9,-3). Find the image matrix that represents the dilation of triangle ABC centered at the origin with a scale factor of 2/3. Then graph the triangle and its image

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