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WAEC Mathematics 2000 Question 22

Question 22

Triangles and Quadrilaterals

Which of the following triangles is congruent?

Diagram for this question
  1. A.I and III only
  2. B.II and IV only
  3. C.I and II only
  4. D.II and III only.
Show the answer and explanation

Answer: D (II and III only.)

Explanation

In II and III the 50° angle lies between the 2 cm and 3 cm sides, so they are congruent by SAS. In I and IV the 50° angle is not between those two sides.