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Why are trapezoids outside the parallelogram?
Trapezoids are not considered parallelograms because parallelograms have 2 pairs of parallel sides, whereas trapezoids have only one. Some definitions of trapezoid say "at least one pair of parallel sides" in which case, some trapezoids would be parallelograms (the ones that have 2 pairs of parallel sides), but most textbooks in the US now define trapezoids as "exactly one pair of parallel sides."
Are some trapesoids parallelograms?
No trapezoids are not parallelograms. Trapezoids are actually quadrilaterals and they have one pair of opposite sides. Parallelograms by definition have 2 pairs of parallel sides.
Can some trapezoids be parallelograms?
No because a trapezoid only has 1 pair of parallel sides whereas a parallelogram has 2 pairs of parallel sides but they are both 4 sided quadrilaterals.
Which statement is true for all trapezoids?
"It is a quadrilateral with exactly one pair of parallel sides." is the true one. Some people define it as having at least one pair of parallel sides, so if your teacher is one of those people then all of the answers are wrong, but since all of the other answers are definitely wrong then this is the only one that could be right.
Are some rectangles also trapezoids?
True. All rectangles are trapezoids. (In England a trapezoid is known as a trapezium.)
