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Grade 9 · Geometry of 2D Shapes
Congruent & Similar Triangles: The Four Conditions
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Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    Name the four conditions for congruent triangles.
    (2)
  2. 2
    Why is AAA not a congruency condition?
    (2)
  3. 3
    In SAS, where must the equal angle be?
    (2)
  4. 4
    Which condition applies only to right-angled triangles?
    (2)
    R · H · Sequal hypotenuse, equal side
  5. 5
    If △ABC ≡ △PQR, which side equals BC?
    (2)
    A B C P Q R
  6. 6
    If △ABC ≡ △PQR, which angle equals ∠A?
    (2)
    A B C P Q R
  7. 7
    Two similar triangles: AB = 3, DE = 9, BC = 4. Find EF.
    (2)
    349?drawn at the same scale
  8. 8
    Two similar triangles have sides 6, 8 and 9, 12. Are they similar? Give the factor.
    (2)
    68912drawn at the same scale
TOTAL: 16 marks
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