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A trapezium is defined inclusively as a quadrilateral with at least one pair of parallel sides. Using that definition, which statement is TRUE?

Competition practiceGeometry
  • AEvery parallelogram is a trapezium
  • BNo parallelogram is a trapezium
  • CA trapezium can have at most one pair of parallel sides
  • DEvery trapezium is a parallelogram

Step-by-Step Solution

A parallelogram has two pairs of parallel sides, so it certainly has at least one pair — it satisfies the inclusive definition and is therefore a trapezium. The reverse is false: a trapezium with only one pair of parallel sides is not a parallelogram.
Answer: A) Every parallelogram is a trapezium

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