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Translate a triangle: find the image of a vertex

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Every vertex moves the same way. Add the shift to the coordinates of the vertex you need.

  1. Triangle ABC has vertices A(3, −4), B(2, −1) and C(−6, 1). It is translated 1 right and 3 down. What are the coordinates of C'?
  2. Triangle ABC has vertices A(5, 4), B(1, 2) and C(2, −5). It is translated 1 left and 6 up. What are the coordinates of B'?
  3. Triangle ABC has vertices A(3, −2), B(−4, −2) and C(2, −4). It is translated 5 right and 2 down. What are the coordinates of C'?
  4. Triangle ABC has vertices A(−1, −2), B(−3, −4) and C(6, 2). It is translated 4 left and 4 down. What are the coordinates of A'?
  5. Triangle ABC has vertices A(8, 6), B(1, −2) and C(−5, −8). It is translated 2 left and 1 up. What are the coordinates of A'?
  6. Triangle ABC has vertices A(−3, −5), B(1, 2) and C(1, −3). It is translated 1 left and 2 up. What are the coordinates of A'?
  7. Triangle ABC has vertices A(2, −3), B(2, −7) and C(8, 2). It is translated 6 left and 5 up. What are the coordinates of A'?
  8. Triangle ABC has vertices A(−4, 5), B(6, 8) and C(−1, 2). It is translated 4 left. What are the coordinates of C'?
  9. Triangle ABC has vertices A(6, 10), B(−3, −8) and C(9, 5). It is translated 2 right and 5 down. What are the coordinates of A'?
  10. Triangle ABC has vertices A(5, −4), B(6, 8) and C(−3, −8). It is translated 6 left and 10 down. What are the coordinates of C'?
  11. Triangle ABC has vertices A(−4, −3), B(2, −10) and C(−8, 1). It is translated 2 right and 1 down. What are the coordinates of C'?
  12. Triangle ABC has vertices A(5, −7), B(−3, 4) and C(2, 9). It is translated 4 right and 4 down. What are the coordinates of B'?
  13. Triangle ABC has vertices A(8, 2), B(2, 11) and C(−2, 9). It is translated 4 left and 12 up. What are the coordinates of A'?
  14. Triangle ABC has vertices A(−2, −9), B(−4, 6) and C(7, −11). It is translated 8 right and 6 down. What are the coordinates of B'?
  15. Triangle ABC has vertices A(1, 8), B(2, −6) and C(4, 1). It is translated 2 left and 1 down. What are the coordinates of B'?
  16. Triangle ABC has vertices A(−10, 8), B(10, 1) and C(−6, −10). It is translated 6 right and 12 down. What are the coordinates of C'?
  17. Triangle ABC has vertices A(−13, −14), B(−15, 12) and C(6, 1). It is translated 13 right and 6 up. What are the coordinates of A'?
  18. Triangle ABC has vertices A(2, 3), B(6, 12) and C(−15, 11). It is translated 15 left and 5 up. What are the coordinates of B'?
  19. Triangle ABC has vertices A(−12, −2), B(11, −9) and C(7, −8). It is translated 9 right and 10 up. What are the coordinates of A'?
  20. Triangle ABC has vertices A(−2, 6), B(7, 4) and C(−14, 2). It is translated 13 right and 12 down. What are the coordinates of B'?
More free practice: fieldbooklearning.com/au/practice/year-8/translate-a-triangle-find-the-image-of-a-vertex/

Answer key: Translate a triangle: find the image of a vertex

  1. (-5, -2)
  2. (0, 8)
  3. (7, -6)
  4. (-5, -6)
  5. (6, 7)
  6. (-4, -3)
  7. (-4, 2)
  8. (-5, 2)
  9. (8, 5)
  10. (-9, -18)
  11. (-6, 0)
  12. (1, 0)
  13. (4, 14)
  14. (4, 0)
  15. (0, -7)
  16. (0, -22)
  17. (0, -8)
  18. (-9, 17)
  19. (-3, 8)
  20. (20, -8)