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JAMB Mathematics 1979 Question 24

Question 24

Triangles and Quadrilaterals

One of the following statements is wrong. Which is it?

  1. A.If a triangle is equiangular then it is also equilateral
  2. B.If a triangle is equilateral then it is also equiangular.
  3. C.If two triangles are congruent, then they are also similar
  4. D.If two triangles are similar then they are also congruent
  5. E.The sum of the interior angles of any triangle is 80 degrees.
Show the answer and explanation

Answer: D (If two triangles are similar then they are also congruent)

Explanation

Similar triangles have the same shape but can be different sizes, so they need not be congruent.