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Question
Is a parallelogram a trapezium ? If yes or no give reason.
Is a parallelogram a trapezium ? If yes or no give reason.
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Solution
It depends.
A Parallelogram is a quadrilateral with two ses of parallel sides.
Some authors/texts define a Trapezoid as a quadrilateral with exactly one set of parallel sides. Definition A
Other authors/texts define a Trapezoid as a quadrilateral with at least one set of parallel sides. Definition B
If you use definition A then parallelograms and trapezoids are mutually exclusive, that is it is impossible to be both. So under definition A, a parallelogram is never a trapezoid.
However if you use Definition B, then parallelograms are a special subset of trapezoids. So under definition B, a parallelogram is always a trapezoid.
It depends.
A Parallelogram is a quadrilateral with two ses of parallel sides.
Some authors/texts define a Trapezoid as a quadrilateral with exactly one set of parallel sides. Definition A
Other authors/texts define a Trapezoid as a quadrilateral with at least one set of parallel sides. Definition B
If you use definition A then parallelograms and trapezoids are mutually exclusive, that is it is impossible to be both. So under definition A, a parallelogram is never a trapezoid.
However if you use Definition B, then parallelograms are a special subset of trapezoids. So under definition B, a parallelogram is always a trapezoid.
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