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Reflect a point in an axis or the line y = x

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Reflecting in the x-axis changes the sign of y. In the y-axis it changes the sign of x. In the line y = x it swaps x and y.

  1. Apply a reflection in the x-axis to the point (2, 1). What are the coordinates of the image?
  2. Apply a reflection in the y-axis to the point (5, 8). What are the coordinates of the image?
  3. Apply a reflection in the x-axis to the point (−5, −1). What are the coordinates of the image?
  4. Apply a reflection in the y-axis to the point (6, 4). What are the coordinates of the image?
  5. Apply a reflection in the line y = x to the point (−1, 8). What are the coordinates of the image?
  6. Apply a reflection in the x-axis to the point (−10, 10). What are the coordinates of the image?
  7. Apply a reflection in the x-axis to the point (4, −7). What are the coordinates of the image?
  8. Apply a reflection in the y-axis to the point (−4, 6). What are the coordinates of the image?
  9. Apply a reflection in the y-axis to the point (9, 5). What are the coordinates of the image?
  10. Apply a reflection in the y-axis to the point (−6, 7). What are the coordinates of the image?
  11. Apply a reflection in the x-axis to the point (8, 4). What are the coordinates of the image?
  12. Apply a reflection in the line y = x to the point (−6, 10). What are the coordinates of the image?
  13. Apply a reflection in the line y = x to the point (−15, −1). What are the coordinates of the image?
  14. Apply a reflection in the x-axis to the point (5, 5). What are the coordinates of the image?
  15. Apply a reflection in the line y = x to the point (5, −14). What are the coordinates of the image?
  16. Apply a reflection in the y-axis to the point (−13, −15). What are the coordinates of the image?
  17. Apply a reflection in the line y = x to the point (−3, −15). What are the coordinates of the image?
  18. Apply a reflection in the line y = x to the point (19, 17). What are the coordinates of the image?
  19. Apply a reflection in the y-axis to the point (−15, 20). What are the coordinates of the image?
  20. Apply a reflection in the line y = x to the point (−3, −13). What are the coordinates of the image?
More free practice: fieldbooklearning.com/ca/practice/grade-8/reflect-a-point-in-an-axis-or-the-line-y-x/

Answer key: Reflect a point in an axis or the line y = x

  1. (2, -1)
  2. (-5, 8)
  3. (-5, 1)
  4. (-6, 4)
  5. (8, -1)
  6. (-10, -10)
  7. (4, 7)
  8. (4, 6)
  9. (-9, 5)
  10. (6, 7)
  11. (8, -4)
  12. (10, -6)
  13. (-1, -15)
  14. (5, -5)
  15. (-14, 5)
  16. (13, -15)
  17. (-15, -3)
  18. (17, 19)
  19. (15, 20)
  20. (-13, -3)