Slope and Parallelism in Dilated Lines Exercise

Slope and Parallelism in Dilated Lines

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Slope and Parallelism in Dilated Lines

Investigate how dilations preserve slope and maintain parallelism between lines. Practice determining the slopes and equations of dilated lines.

Questions

  1. MultiChoice

    When a line not passing through the center of dilation is dilated, the resulting line is:

  2. MultiChoice

    When a line passing through the center of dilation is dilated, the resulting line is:

  3. MultiChoice

    A line has slope m = 2. After dilation centered at origin with scale factor k = 2, what is the slope of the image line?

  4. MultiChoice

    What is the relationship between the slope of a line segment and the slope of its dilated image?

  5. MultiChoice

    Line L has equation y = 3x + 4. After dilation centered at origin with k = 3, what is equation of L'?

  6. MultiChoice

    Line y = -2x + 6 is dilated centered at origin with k = 0.5. What is the equation of the new line?

  7. MultiChoice

    Segment AB has slope -3/4. After dilation with scale factor k = 5, what is the slope of A'B'?

  8. MultiChoice

    When line y = mx + b is dilated with center (0,0) and scale factor k, what happens to the y-intercept b?

  9. MultiChoice

    Line y = 5x passes through origin. What is its equation after dilation centered at origin with k = 2?

  10. MultiChoice

    A horizontal line segment has slope 0. What is the slope of its image after dilation?

  11. MultiChoice

    Vertical line x = 4 is dilated centered at origin with scale factor k = 2. What is equation of the image line?

  12. MultiChoice

    Line y = 2x + 3 is dilated centered at origin into y = 2x + 12. What was the scale factor k?