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Grade 8 · Geometry of 2D Shapes
Congruent & Similar 2D Shapes
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  / 14

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

  1. 1
    What does it mean if two shapes are congruent?
    (2)
  2. 2
    What does it mean if two shapes are similar?
    (2)
  3. 3
    Are all congruent shapes also similar?
    (1)
  4. 4
    Are all similar shapes congruent?
    (1)
  5. 5
    Two similar triangles: sides 5 cm and 8 cm; the matching side to 5 is 15 cm. Find the other.
    (2)
    5815?drawn at the same scale
  6. 6
    A rectangle 4 cm × 6 cm is enlarged by scale factor 2. What are the new sides?
    (2)
  7. 7
    Triangle A has sides 3, 4 and 5. Triangle B has sides 9, 12 and 15. Are they similar?
    (2)
    34591215drawn at the same scale
  8. 8
    Right-angled triangle A has legs 2 and 4. Right-angled triangle B has legs 6 and 10. Are they similar?
    (2)
    24610drawn at the same scale
TOTAL: 14 marks
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