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WAEC Mathematics 2013 Question 20

Question 20

Triangles and Quadrilaterals

In the diagrams, |XZ| = |MN|, |ZY| = |MO| and |XY| = |NO|. Which of the following statements is true?

Diagram for this question
  1. A.ΔZYX ≡ ΔOMN
  2. B.ΔYZX ≡ ΔNOM
  3. C.ΔZXY ≡ ΔMON
  4. D.ΔXYZ ≡ ΔNOM
Show the answer and explanation

Answer: D (ΔXYZ ≡ ΔNOM)

Explanation

Matching the equal sides: X ↔ N, Y ↔ O, Z ↔ M. So ΔXYZ ≡ ΔNOM (SSS).