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WAEC Mathematics 1997 Question 37

Question 37

Triangles and Quadrilaterals

Which of the following is not necessarily true of a rectangle?

  1. A.The diagonals are equal
  2. B.The diagonals bisect each other
  3. C.The diagonals are perpendicular
  4. D.Each diagonal divides the area of the rectangle equally
  5. E.Each diagonal divides the rectangle into two congruent triangles.
Show the answer and explanation

Answer: C (The diagonals are perpendicular)

Explanation

A rectangle's diagonals cross at right angles only when it is a square.