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Identify a translation or a reflection

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Compare the shapes: same size and just slid (translation), same size and a mirror image (reflection), same size and turned (rotation), or a different size (dilation).

  1. Triangle ABC has vertices A(−5, 4), B(1, 5) and C(3, 2). Its image has vertices A'(−5, −4), B'(1, −5) and C'(3, −2). Which transformation is it? Write translation, reflection, rotation or dilation.
  2. Triangle ABC has vertices A(−4, 6), B(−6, 4) and C(3, −4). Its image has vertices A'(−1, 4), B'(−3, 2) and C'(6, −6). Which transformation is it? Write translation, reflection, rotation or dilation.
  3. Triangle ABC has vertices A(−1, −6), B(−5, −1) and C(4, 6). Its image has vertices A'(−6, −7), B'(−10, −2) and C'(−1, 5). Which transformation is it? Write translation, reflection, rotation or dilation.
  4. Triangle ABC has vertices A(1, 3), B(5, 6) and C(5, −1). Its image has vertices A'(3, 1), B'(6, 5) and C'(−1, 5). Which transformation is it? Write translation, reflection, rotation or dilation.
  5. Triangle ABC has vertices A(−2, 3), B(3, 8) and C(−7, 4). Its image has vertices A'(0, −1), B'(5, 4) and C'(−5, 0). Which transformation is it? Write translation, reflection, rotation or dilation.
  6. Triangle ABC has vertices A(−7, −1), B(7, −5) and C(−7, −8). Its image has vertices A'(−8, −1), B'(6, −5) and C'(−8, −8). Which transformation is it? Write translation, reflection, rotation or dilation.
  7. Triangle ABC has vertices A(−1, 5), B(4, 7) and C(−4, 7). Its image has vertices A'(−3, 2), B'(2, 4) and C'(−6, 4). Which transformation is it? Write translation, reflection, rotation or dilation.
  8. Triangle ABC has vertices A(6, 4), B(8, −4) and C(−3, −8). Its image has vertices A'(9, 0), B'(11, −8) and C'(0, −12). Which transformation is it? Write translation, reflection, rotation or dilation.
  9. Triangle ABC has vertices A(−7, −4), B(−4, 5) and C(−7, −2). Its image has vertices A'(7, −4), B'(4, 5) and C'(7, −2). Which transformation is it? Write translation, reflection, rotation or dilation.
  10. Triangle ABC has vertices A(−5, −10), B(8, 9) and C(2, 10). Its image has vertices A'(5, −10), B'(−8, 9) and C'(−2, 10). Which transformation is it? Write translation, reflection, rotation or dilation.
  11. Triangle ABC has vertices A(−5, 3), B(1, −2) and C(−10, 5). Its image has vertices A'(−4, −2), B'(2, −7) and C'(−9, 0). Which transformation is it? Write translation, reflection, rotation or dilation.
  12. Triangle ABC has vertices A(4, 1), B(10, 4) and C(10, 9). Its image has vertices A'(1, 4), B'(4, 10) and C'(9, 10). Which transformation is it? Write translation, reflection, rotation or dilation.
  13. Triangle ABC has vertices A(−4, −9), B(11, −3) and C(6, −10). Its image has vertices A'(−1, −7), B'(14, −1) and C'(9, −8). Which transformation is it? Write translation, reflection, rotation or dilation.
  14. Triangle ABC has vertices A(9, −4), B(−10, −6) and C(−3, 8). Its image has vertices A'(12, −5), B'(−7, −7) and C'(0, 7). Which transformation is it? Write translation, reflection, rotation or dilation.
  15. Triangle ABC has vertices A(11, 3), B(3, 10) and C(−7, −11). Its image has vertices A'(3, 11), B'(10, 3) and C'(−11, −7). Which transformation is it? Write translation, reflection, rotation or dilation.
  16. Triangle ABC has vertices A(4, 10), B(−7, −1) and C(−4, 6). Its image has vertices A'(−4, 10), B'(7, −1) and C'(4, 6). Which transformation is it? Write translation, reflection, rotation or dilation.
  17. Triangle ABC has vertices A(13, −8), B(14, 3) and C(−8, 15). Its image has vertices A'(8, −3), B'(9, 8) and C'(−13, 20). Which transformation is it? Write translation, reflection, rotation or dilation.
  18. Triangle ABC has vertices A(5, 9), B(2, 12) and C(9, −12). Its image has vertices A'(5, −9), B'(2, −12) and C'(9, 12). Which transformation is it? Write translation, reflection, rotation or dilation.
  19. Triangle ABC has vertices A(7, 2), B(−1, −11) and C(2, −3). Its image has vertices A'(3, 7), B'(−5, −6) and C'(−2, 2). Which transformation is it? Write translation, reflection, rotation or dilation.
  20. Triangle ABC has vertices A(−6, 13), B(6, −2) and C(−9, 6). Its image has vertices A'(−10, 12), B'(2, −3) and C'(−13, 5). Which transformation is it? Write translation, reflection, rotation or dilation.
More free practice: fieldbooklearning.com/au/practice/year-8/identify-a-translation-or-a-reflection/

Answer key: Identify a translation or a reflection

  1. reflection
  2. translation
  3. translation
  4. reflection
  5. translation
  6. translation
  7. translation
  8. translation
  9. reflection
  10. reflection
  11. translation
  12. reflection
  13. translation
  14. translation
  15. reflection
  16. reflection
  17. translation
  18. reflection
  19. translation
  20. translation