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Lengths after a dilation

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Multiply every length by the scale factor.

  1. A segment 10 cm long is dilated by a scale factor of 2. How long is the image, in cm?
  2. A segment 4 cm long is dilated by a scale factor of 3. How long is the image, in cm?
  3. A segment 18 cm long is dilated by a scale factor of 0.5. How long is the image, in cm?
  4. A segment 28 cm long is dilated by a scale factor of 0.5. How long is the image, in cm?
  5. A segment 4 cm long is dilated by a scale factor of 1.5. How long is the image, in cm?
  6. A segment 6 cm long is dilated by a scale factor of 1.5. How long is the image, in cm?
  7. A segment 17 cm long is dilated by a scale factor of 3. How long is the image, in cm?
  8. A segment 27 cm long is dilated by a scale factor of 2. How long is the image, in cm?
  9. A segment 39 cm long is dilated by a scale factor of 1.5. How long is the image, in cm?
  10. A segment 22 cm long is dilated by a scale factor of 2. How long is the image, in cm?
  11. A segment 27 cm long is dilated by a scale factor of 1.5. How long is the image, in cm?
  12. A segment 56 cm long is dilated by a scale factor of 0.5. How long is the image, in cm?
  13. A segment 45 cm long is dilated by a scale factor of 2.5. How long is the image, in cm?
  14. A segment 15 cm long is dilated by a scale factor of 2. How long is the image, in cm?
  15. A segment 36 cm long is dilated by a scale factor of 3. How long is the image, in cm?
  16. A segment 54 cm long is dilated by a scale factor of 3. How long is the image, in cm?
  17. A segment 194 cm long is dilated by a scale factor of 0.25. How long is the image, in cm?
  18. A segment 71 cm long is dilated by a scale factor of 4. How long is the image, in cm?
  19. A segment 61 cm long is dilated by a scale factor of 1.5. How long is the image, in cm?
  20. A segment 54 cm long is dilated by a scale factor of 0.25. How long is the image, in cm?
More free practice: fieldbooklearning.com/uk/practice/year-9/lengths-after-a-dilation/

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Answer key: Lengths after a dilation

  1. 20
  2. 12
  3. 9
  4. 14
  5. 6
  6. 9
  7. 51
  8. 54
  9. 58.5
  10. 44
  11. 40.5
  12. 28
  13. 112.5
  14. 30
  15. 108
  16. 162
  17. 48.5
  18. 284
  19. 91.5
  20. 13.5