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WAEC Mathematics 1996 Question 30

Question 30

Constructions

Which of the following is not true? You may construct a

  1. A.triangle given all the three sides
  2. B.triangle given one side and two angles
  3. C.triangle given two sides and the included angle
  4. D.quadrilateral given all the four sides
  5. E.parallelogram given two adjacent sides and the diagonal joining them.
Show the answer and explanation

Answer: D (quadrilateral given all the four sides)

Explanation

Four sides alone do not fix a quadrilateral: it can be pushed into many different shapes with the same sides. The other sets of data each fix one unique figure.