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Identify a transformation: translation, reflection, rotation or dilation

Year 9 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(3, 5), B(−2, −4) and C(2, −1). Its image has vertices A'(2, 9), B'(−3, 0) and C'(1, 3). Which transformation is it? Write translation, reflection, rotation or dilation.
  2. Triangle ABC has vertices A(−5, 6), B(2, 6) and C(4, −1). Its image has vertices A'(6, −5), B'(6, 2) and C'(−1, 4). Which transformation is it? Write translation, reflection, rotation or dilation.
  3. Triangle ABC has vertices A(−2, −3), B(3, −1) and C(−1, 4). Its image has vertices A'(2, −3), B'(−3, −1) and C'(1, 4). Which transformation is it? Write translation, reflection, rotation or dilation.
  4. Triangle ABC has vertices A(−5, 4), B(5, −6) and C(−2, −3). Its image has vertices A'(−15, 12), B'(15, −18) and C'(−6, −9). Which transformation is it? Write translation, reflection, rotation or dilation.
  5. Triangle ABC has vertices A(−5, 1), B(−8, −4) and C(2, 8). Its image has vertices A'(−5, −1), B'(−8, 4) and C'(2, −8). Which transformation is it? Write translation, reflection, rotation or dilation.
  6. Triangle ABC has vertices A(7, 6), B(4, 8) and C(3, −8). Its image has vertices A'(7, −6), B'(4, −8) and C'(3, 8). Which transformation is it? Write translation, reflection, rotation or dilation.
  7. Triangle ABC has vertices A(1, −3), B(−1, −4) and C(2, 4). Its image has vertices A'(4, 0), B'(2, −1) and C'(5, 7). Which transformation is it? Write translation, reflection, rotation or dilation.
  8. Triangle ABC has vertices A(−7, −6), B(−3, 2) and C(−5, 7). Its image has vertices A'(−6, −7), B'(2, −3) and C'(7, −5). Which transformation is it? Write translation, reflection, rotation or dilation.
  9. Triangle ABC has vertices A(−1, −7), B(2, 9) and C(3, 9). Its image has vertices A'(1, −7), B'(−2, 9) and C'(−3, 9). Which transformation is it? Write translation, reflection, rotation or dilation.
  10. Triangle ABC has vertices A(−6, −8), B(−7, −5) and C(7, −9). Its image has vertices A'(−12, −16), B'(−14, −10) and C'(14, −18). Which transformation is it? Write translation, reflection, rotation or dilation.
  11. Triangle ABC has vertices A(−10, 3), B(−8, 6) and C(6, −2). Its image has vertices A'(−3, −10), B'(−6, −8) and C'(2, 6). Which transformation is it? Write translation, reflection, rotation or dilation.
  12. Triangle ABC has vertices A(−5, −6), B(7, 6) and C(3, −6). Its image has vertices A'(0, −11), B'(12, 1) and C'(8, −11). Which transformation is it? Write translation, reflection, rotation or dilation.
  13. Triangle ABC has vertices A(−6, 11), B(5, 12) and C(12, 10). Its image has vertices A'(6, 11), B'(−5, 12) and C'(−12, 10). Which transformation is it? Write translation, reflection, rotation or dilation.
  14. Triangle ABC has vertices A(5, −11), B(2, 1) and C(−5, 1). Its image has vertices A'(−11, 5), B'(1, 2) and C'(1, −5). Which transformation is it? Write translation, reflection, rotation or dilation.
  15. Triangle ABC has vertices A(12, −2), B(−8, −6) and C(−4, 11). Its image has vertices A'(−2, −12), B'(−6, 8) and C'(11, 4). Which transformation is it? Write translation, reflection, rotation or dilation.
  16. Triangle ABC has vertices A(12, 4), B(5, 9) and C(−12, −11). Its image has vertices A'(−12, −4), B'(−5, −9) and C'(12, 11). Which transformation is it? Write translation, reflection, rotation or dilation.
  17. Triangle ABC has vertices A(−3, 9), B(15, 1) and C(−5, −9). Its image has vertices A'(−6, 18), B'(30, 2) and C'(−10, −18). Which transformation is it? Write translation, reflection, rotation or dilation.
  18. Triangle ABC has vertices A(−15, −12), B(−4, −6) and C(13, 3). Its image has vertices A'(−18, −8), B'(−7, −2) and C'(10, 7). Which transformation is it? Write translation, reflection, rotation or dilation.
  19. Triangle ABC has vertices A(−10, 15), B(−14, −12) and C(12, 11). Its image has vertices A'(−15, −10), B'(12, −14) and C'(−11, 12). Which transformation is it? Write translation, reflection, rotation or dilation.
  20. Triangle ABC has vertices A(−3, 15), B(11, 5) and C(12, 5). Its image has vertices A'(−3, −15), B'(11, −5) and C'(12, −5). Which transformation is it? Write translation, reflection, rotation or dilation.
More free practice: fieldbooklearning.com/uk/practice/year-9/identify-a-transformation-translation-reflection-rotation-or-dilation/

Answer key: Identify a transformation: translation, reflection, rotation or dilation

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