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Grade 9 · Transformation Geometry
Transformation Geometry (Grade 9)
MEMORANDUM
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  / 18

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 (3 ; 5) in the x-axis.
    (2)
    (3 ; −5)✓✓ (2)
  2. 2
    Reflect (−2 ; 7) in the y-axis.
    (2)
    (2 ; 7)✓✓ (2)
  3. 3
    Reflect (4 ; 1) in the line y = x.
    (2)
    (1 ; 4)✓✓ (2)
  4. 4
    Rotate (3 ; −6) by 180° about the origin.
    (2)
    (−3 ; 6)✓✓ (2)
  5. 5
    Translate (5 ; 3) by 2 left and 4 up.
    (2)
    (3 ; 7)✓✓ (2)
  6. 6
    A point is reflected in the x-axis; its image is (6 ; −2). Find the original.
    (2)
    (6 ; 2)✓✓ (2)
  7. 7
    Enlarge (3 ; −4) by scale factor 3 from the origin.
    (2)
    (9 ; −12)✓✓ (2)
  8. 8
    A rectangle 4 cm × 3 cm is enlarged by factor 3. Find the new area.
    (2)
    12 × 32 = 108 cm2✓✓ (2)
  9. 9
    Which transformations leave the figure congruent?
    (2)
    AA′translation: 7 right and 2 down
    Reflection, translation and rotation (enlargement changes size).✓✓ (2)
TOTAL: 18 marks
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