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Areas after a dilation

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Areas change by the square of the scale factor.

  1. A triangle with an area of 35 cm² is dilated by a scale factor of 2. What is the area of the image, in cm²?
  2. A triangle with an area of 13 cm² is dilated by a scale factor of 2. What is the area of the image, in cm²?
  3. A triangle with an area of 29 cm² is dilated by a scale factor of 2. What is the area of the image, in cm²?
  4. A triangle with an area of 14 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  5. A triangle with an area of 37 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  6. A triangle with an area of 42 cm² is dilated by a scale factor of 3. What is the area of the image, in cm²?
  7. A triangle with an area of 20 cm² is dilated by a scale factor of 5. What is the area of the image, in cm²?
  8. A triangle with an area of 27 cm² is dilated by a scale factor of 5. What is the area of the image, in cm²?
  9. A triangle with an area of 14 cm² is dilated by a scale factor of 3. What is the area of the image, in cm²?
  10. A triangle with an area of 48 cm² is dilated by a scale factor of 2. What is the area of the image, in cm²?
  11. A triangle with an area of 10 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  12. A triangle with an area of 4 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  13. A triangle with an area of 76 cm² is dilated by a scale factor of 5. What is the area of the image, in cm²?
  14. A triangle with an area of 60 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  15. A triangle with an area of 46 cm² is dilated by a scale factor of 6. What is the area of the image, in cm²?
  16. A triangle with an area of 6 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  17. A triangle with an area of 106 cm² is dilated by a scale factor of 4. What is the area of the image, in cm²?
  18. A triangle with an area of 177 cm² is dilated by a scale factor of 9. What is the area of the image, in cm²?
  19. A triangle with an area of 5 cm² is dilated by a scale factor of 3. What is the area of the image, in cm²?
  20. A triangle with an area of 137 cm² is dilated by a scale factor of 2. What is the area of the image, in cm²?
More free practice: fieldbooklearning.com/practice/grade-8/areas-after-a-dilation/

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Answer key: Areas after a dilation

  1. 140
  2. 52
  3. 116
  4. 224
  5. 592
  6. 378
  7. 500
  8. 675
  9. 126
  10. 192
  11. 160
  12. 64
  13. 1900
  14. 960
  15. 1656
  16. 96
  17. 1696
  18. 14337
  19. 45
  20. 548