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Dilate a point by a fractional scale factor

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Multiply both coordinates by the scale factor.

  1. Dilate the point (4, 10) by a scale factor of 0.5 from the origin. What are the coordinates of the image?
  2. Dilate the point (4, −4) by a scale factor of 2 from the origin. What are the coordinates of the image?
  3. Dilate the point (−1, 1) by a scale factor of 2 from the origin. What are the coordinates of the image?
  4. Dilate the point (−10, −4) by a scale factor of 0.5 from the origin. What are the coordinates of the image?
  5. Dilate the point (24, −32) by a scale factor of 0.25 from the origin. What are the coordinates of the image?
  6. Dilate the point (7, −4) by a scale factor of 2 from the origin. What are the coordinates of the image?
  7. Dilate the point (12, 20) by a scale factor of 0.25 from the origin. What are the coordinates of the image?
  8. Dilate the point (−5, −4) by a scale factor of 2 from the origin. What are the coordinates of the image?
  9. Dilate the point (−5, 6) by a scale factor of 1.5 from the origin. What are the coordinates of the image?
  10. Dilate the point (−6, 5) by a scale factor of 2 from the origin. What are the coordinates of the image?
  11. Dilate the point (−1, 2) by a scale factor of 1.5 from the origin. What are the coordinates of the image?
  12. Dilate the point (10, 7) by a scale factor of 1.5 from the origin. What are the coordinates of the image?
  13. Dilate the point (−2, −11) by a scale factor of 2 from the origin. What are the coordinates of the image?
  14. Dilate the point (−36, 28) by a scale factor of 0.25 from the origin. What are the coordinates of the image?
  15. Dilate the point (5, 4) by a scale factor of 2 from the origin. What are the coordinates of the image?
  16. Dilate the point (16, 28) by a scale factor of 0.25 from the origin. What are the coordinates of the image?
  17. Dilate the point (−10, −9) by a scale factor of 1.5 from the origin. What are the coordinates of the image?
  18. Dilate the point (11, 7) by a scale factor of 3 from the origin. What are the coordinates of the image?
  19. Dilate the point (13, 7) by a scale factor of 3 from the origin. What are the coordinates of the image?
  20. Dilate the point (2, 5) by a scale factor of 1.5 from the origin. What are the coordinates of the image?
More free practice: fieldbooklearning.com/au/practice/year-8/dilate-a-point-by-a-fractional-scale-factor/

Answer key: Dilate a point by a fractional scale factor

  1. (2, 5)
  2. (8, -8)
  3. (-2, 2)
  4. (-5, -2)
  5. (6, -8)
  6. (14, -8)
  7. (3, 5)
  8. (-10, -8)
  9. (-7.5, 9)
  10. (-12, 10)
  11. (-1.5, 3)
  12. (15, 10.5)
  13. (-4, -22)
  14. (-9, 7)
  15. (10, 8)
  16. (4, 7)
  17. (-15, -13.5)
  18. (33, 21)
  19. (39, 21)
  20. (3, 7.5)