A trapezium with all its sides congruent is an impossible shape.
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No, a trapezoid can't have all congruent sides because then it would be a square. A trapezoid by definition has one pair of parallel sides of different lengths.
A trapezoid with its nonparallel sides congruent is called an isosceles trapezoid.
A trapezoid with two congruent, opposite sides is an isosceles trapezoid.
False
All four sides of a rhombus are congruent. A trapezoid can have at most three congruent sides.