Q: Do all trapezoids have a pair of parallel sides?

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No, trapezoids are not rectangles. While both shapes have four sides, rectangles have opposite sides that are equal in length and all interior angles are right angles, whereas trapezoids have only one pair of opposite sides that are parallel.

Yup :p

Trapezoids. All other quadrilaterals either have two pairs of parallel sides or none.

Yes, all trapezoids must have one pair of congruent sides.

No. All trapezoids have only one pair of parallel sides which are different in length. In an isosceles trapezoid the lengths of the two non-parallel sides are equal.

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No, trapezoids are not rectangles. While both shapes have four sides, rectangles have opposite sides that are equal in length and all interior angles are right angles, whereas trapezoids have only one pair of opposite sides that are parallel.

Yup :p

Trapezoids are never rectangles because, by definition a trapezoid has only one pair of parallel sides, and at most one right angle. A rectangle has two pairs of parallel sides and four right angles.

Only if it's an isosceles trapezoid otherwise all trapezoids have exactly one pair of parallel sides that are of different lengths

By definition, a trapezoid only must have exactly one pair of parallel sides. An isosceles trapezoid does have one pair of congruent sides, but not all trapezoids will have exactly one pair of congruent sides.

Some people define trapezoids as having at least one pair of parallel sides. By this definition, all parallelograms are trapezoids, though not all trapezoids are parallelograms.Some people define trapezoids as having exactly one pair of parallel sides. By this definition, the terms "trapezoid" and "parallelogram" are mutually exclusive.

No because a trapezoid has only 1 pair of parallel sides whereby a parallelogram has 2 pairs of parallel sides

Trapezoids. All other quadrilaterals either have two pairs of parallel sides or none.

Yes, all trapezoids must have one pair of congruent sides.

All parallelograms and trapezoids have at least one pairof parallel sides. The trapezoid has only one pair.

No. All trapezoids have only one pair of parallel sides which are different in length. In an isosceles trapezoid the lengths of the two non-parallel sides are equal.

Yes. To be a trapezoid, a quadrilateral must have one pair of sides that are parallel. Since rhombuses are parallelograms, they are all also trapezoids, so a subset of trapezoids are rhombuses.