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Math Help - Two Math Questions.

  1. #1
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    Two Math Questions.

    1. (-2, 2) reflected through the origin is:

    A. (2, 2)
    B. (2, -2)
    C. (-2, 2)
    D. (-2, -2)

    20. A picture measures 16 inches wide by 20 inches long. If the frame is to be 20 inches wide. What is the scale factor of the frame as a dilation of the picture, and what is the length of the frame?

    A. scale factor is 5/4, length of frame is 25 inches
    B. scale factor is 4/5, length of frame is 16 inches
    C. scale factor is 1/1, length of frame is 16 inches
    D. scale factor is 4/1, length of frame is 24 inches
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  2. #2
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    Quote Originally Posted by dgenerationx2 View Post
    1. (-2, 2) reflected through the origin is:

    A. (2, 2)
    B. (2, -2)
    C. (-2, 2)
    D. (-2, -2)
    Try graphing the point. (-2, 2) is 2 units left of the origin and 2 units up. Its reflection will be 2 units right of the origin and 2 units down.
    Quote Originally Posted by dgenerationx2 View Post
    20. A picture measures 16 inches wide by 20 inches long. If the frame is to be 20 inches wide. What is the scale factor of the frame as a dilation of the picture, and what is the length of the frame?

    A. scale factor is 5/4, length of frame is 25 inches
    B. scale factor is 4/5, length of frame is 16 inches
    C. scale factor is 1/1, length of frame is 16 inches
    D. scale factor is 4/1, length of frame is 24 inches
    Scale factor (dilation factor) is 16/20 or 4/5. We find this by using the ratio of the two widths.

    To find the new length solve this: \frac{20}{L}=\frac{4}{5}
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