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WAEC Mathematics 1997 Question 24

Question 24

Angles and Polygons

PQRS and GHRS are parallelograms on the same base SR and between the same parallel straight line PH and SR. Which of the following is true?

Diagram for this question
  1. A.ΔPGS = ΔQHR
  2. B.Parallelogram PQRS = ΔQHR
  3. C.Trapezium PQXS = ΔGHR
  4. D.ΔPGS = Parallelogram GHRS
  5. E.Parallelogram PQRS = Parallelogram GHRS.
Show the answer and explanation

Answer: E (Parallelogram PQRS = Parallelogram GHRS.)

Explanation

Parallelograms on the same base and between the same parallels have equal areas.