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Grade 8 · Geometry
Transformation Geometry: All Four Transformations
MEMORANDUM
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Class: 
Date: 
Mark
  / 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    Reflect (2, 7) in the y-axis. (reflect)
    (2)
    xy-6-666(2 ; 7)?reflect in the y-axis (dashed)
    (−2, 7)✓✓ (2)
  2. 2
    Reflect (4, −1) in the x-axis. (reflect)
    (2)
    xy-4-444(4 ; −1)?reflect in the x-axis (dashed)
    (4, 1)✓✓ (2)
  3. 3
    Reflect (5, 2) in the line y = x. (reflect)
    (2)
    xy-5-555(5 ; 2)?reflect in the line y = x (dashed)
    (2, 5)✓✓ (2)
  4. 4
    Reflect (−3, 6) in the y-axis. (reflect)
    (2)
    (3, 6)✓✓ (2)
  5. 5
    Translate (1, 4) by 5 right and 2 up. (translate)
    (2)
    xy-6-666(1 ; 4)?translate 5 right, 2 up
    (1+5, 4+2) = (6, 6)✓✓ (2)
  6. 6
    Translate (3, −2) by 2 left and 3 up. (translate)
    (2)
    (3−2, −2+3) = (1, 1)✓✓ (2)
  7. 7
    Rotate (2, 5) by 180° about the origin. (rotate)
    (2)
    xy-5-555(2 ; 5)?rotate 180° about the origin
    (−2, −5)✓✓ (2)
  8. 8
    Rotate (−4, 1) by 180° about the origin. (rotate)
    (2)
    (4, −1)✓✓ (2)
  9. 9
    Enlarge (3, 4) by scale factor 2 from the origin. (enlarge)
    (2)
    xy-7-777(3 ; 4)?enlarge by factor 2 from the origin
    (6, 8)✓✓ (2)
  10. 10
    Enlarge (4, 6) by scale factor 12 from the origin. (reduce)
    (2)
    (2, 3)✓✓ (2)
TOTAL: 20 marks
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