Dilating Line Segments and Distance Exercise

Dilating Line Segments and Distance

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Dilating Line Segments and Distance

Measure and calculate distance changes when line segments undergo a dilation. Analyze segment lengths before and after scaling transformations.

Questions

  1. MultiChoice

    Segment AB has length 5 units. What is the length of A'B' after a dilation with k = 3?

  2. MultiChoice

    Segment CD has length 12 units. What is the length of C'D' after a dilation with k = 1/4?

  3. MultiChoice

    Points A(0,0) and B(3,4) form a segment of length 5. After dilation with k = 2 about origin, what is length A'B'?

  4. MultiChoice

    How does the distance from the center of dilation to any point change after dilation with scale factor k?

  5. MultiChoice

    A point P is 6 units away from the center of dilation. With k = 3, how far is P' from the center?

  6. MultiChoice

    Point Q' is 12 units from the center of dilation after scale factor k = 3. What was Q's original distance?

  7. MultiChoice

    Segment EF connects (1, 1) and (4, 5) with length 5. If dilated by k = 1.5, what is length E'F'?

  8. MultiChoice

    If length of segment GH is 7 and G'H' is 28, what is the scale factor k?

  9. MultiChoice

    Segment between (0, 0) and (5, 12) has length 13. What is its length after dilation by k = 1 about origin?

  10. MultiChoice

    Distance between A(2, 3) and B(8, 11) is 10 units. Dilated by k = 0.5, what is the distance A'B'?

  11. MultiChoice

    All lines connecting pre-image points to their corresponding image points intersect at what point?

  12. MultiChoice

    A segment of length 8 is dilated with k = 4. What is the length of the new segment?