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Grade 10 · Euclidean Geometry
Congruent & Similar Triangles (Grade 10)
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  / 18

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

  1. 1
    State the four conditions for congruency.
    (4)
  2. 2
    In △ABC and △DEF, AB = DE, BC = EF and CA = FD. Prove that the triangles are congruent.
    (3)
    ABCDEF△ABC ≡ △DEF — three pairs of equal sides (SSS)
  3. 3
    Explain why SSA is not a valid congruency condition.
    (2)
  4. 4
    What is the difference between congruent and similar triangles?
    (2)
  5. 5
    △ABC ||| △DEF with AB = 6, DE = 9 and BC = 8. Calculate EF.
    (3)
  6. 6
    Two triangles have all three angles equal. Are they congruent?
    (2)
  7. 7
    Which condition uses a right angle, the hypotenuse and one other side?
    (1)
  8. 8
    In SAS, where must the angle be?
    (1)
TOTAL: 18 marks
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