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Grade 8 · Transformation Geometry
Transformation Geometry: All Four Transformations
WORKSHEET
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  / 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Reflect (2 ; 7) in the y-axis. (reflect)
    (1)
    xy−6−666(2 ; 7)reflect in the y-axis (dashed)
  2. 2
    Reflect (4 ; −1) in the x-axis. (reflect)
    (1)
    xy−4−444(4 ; −1)reflect in the x-axis (dashed)
  3. 3
    Reflect (5 ; 2) in the line y = x. (reflect)
    (1)
    xy−5−555(5 ; 2)reflect in the line y = x (dashed)
  4. 4
    Reflect (−3 ; 6) in the y-axis. (reflect)
    (1)
  5. 5
    Translate (1 ; 4) by 5 right and 2 up. (translate)
    (1)
    xy−6−666(1 ; 4)translate 5 right, 2 up
  6. 6
    Translate (3 ; −2) by 2 left and 3 up. (translate)
    (1)
  7. 7
    Rotate (2 ; 5) by 180° about the origin. (rotate)
    (1)
    xy−5−555(2 ; 5)rotate 180° about the origin
  8. 8
    Rotate (−4 ; 1) by 180° about the origin. (rotate)
    (1)
  9. 9
    Enlarge (3 ; 4) by scale factor 2 from the origin. (enlarge)
    (1)
    xy−7−777(3 ; 4)enlarge by factor 2 from the origin
  10. 10
    Enlarge (4 ; 6) by scale factor 1/2 from the origin. (reduce)
    (2)
  11. 11
    Write down the number of lines of symmetry of a square, a rectangle and a parallelogram.
    (3)
  12. 12
    Explain why a diagonal of a rectangle is NOT a line of symmetry.
    (2)
  13. 13
    How many lines of symmetry does a regular hexagon have, and how many does an isosceles triangle have?
    (2)
  14. 14
    A parallelogram has no lines of symmetry but still looks balanced. Explain.
    (2)
TOTAL: 20 marks
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