Dilations Centered at the Origin Exercise

Dilations Centered at the Origin

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Dilations Centered at the Origin

Practice dilating points and shapes on the coordinate plane when the center of dilation is at the origin. Multiply coordinate values by scale factors to find new positions.

Questions

  1. MultiChoice

    What is the image of point (3, 4) after a dilation centered at the origin with scale factor k = 2?

  2. MultiChoice

    What is the image of point (6, -9) after a dilation centered at the origin with scale factor k = 1/3?

  3. MultiChoice

    Find the image of point P(-4, 6) under a dilation centered at the origin with k = 2.5.

  4. MultiChoice

    If the center of dilation is the origin (0, 0), what is the image of (0, 0) for any scale factor k?

  5. MultiChoice

    Point A is at (3, 4). After dilation centered at the origin with scale factor k = 4, what are the coordinates of A'?

  6. MultiChoice

    Dilate the point B(-6, -8) by scale factor k = 0.5 centered at the origin.

  7. MultiChoice

    What is the result of dilating (10, -4) with scale factor k = 1/2 about the origin?

  8. MultiChoice

    Point C(-3, 4) is dilated by k = 3 with center at (0, 0). What is C'?

  9. MultiChoice

    Which general rule represents a dilation centered at the origin with scale factor k?

  10. MultiChoice

    Dilate point (3, -2) centered at the origin with scale factor k = 1.5.

  11. MultiChoice

    If point D is at (0, 5), what are the coordinates of D' after dilation centered at origin with k = 2?

  12. MultiChoice

    Dilate the point E(-28, 0) by scale factor k = 1/4 centered at (0, 0).