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GCE Mathematics 1990 Question 34

Question 34

Triangles and Quadrilaterals

Use the diagram below. Which triangle is equal in area to ΔVWZ?

Diagram for this question
  1. A.ΔVXZ
  2. B.ΔVYZ
  3. C.ΔXYV
  4. D.ΔWYV
  5. E.ΔWYZ
Show the answer and explanation

Answer: B (ΔVYZ)

Explanation

WY is parallel to VZ, so triangles VWZ and VYZ have the same base VZ and lie between the same parallels; their areas are equal.