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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.
    (4)
  2. 2
    Why is AAA not a congruency condition?
    (2)
  3. 3
    In SAS, where must the equal angle be?
    (1)
  4. 4
    Which condition applies only to right-angled triangles?
    (1)
    R · H · Sequal hypotenuse, equal side
  5. 5
    If △ABC ≡ △PQR, which side equals BC?
    (1)
    A B C P Q R
  6. 6
    If △ABC ≡ △PQR, which angle equals Â?
    (1)
    A B C P Q R
  7. 7
    △ABC ||| △DEF with AB = 3, DE = 9 and BC = 4. Find EF.
    (2)
    349?drawn at the same scale
  8. 8
    The two triangles below are drawn to the same scale. Determine whether they are similar, giving a reason, and write down the scale factor from the smaller to the larger.
    (3)
    68912drawn at the same scale1015
TOTAL: 15 marks
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