All the sides of a trapezium are not equal. Only two sides, which are not parallel, of a trapezium can be equal and such type of trapezium is called isosceles trapezium.
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It can be any polygon with 5 or more sides. Or it can be a trapzium (trapezoid).
No, all sides are UNEQUAL. Nope, all different. All sides equal would be equilateral which means "equal sides"
A parallelogram where all sides are equal is a square.
Not unless all angles are also equal. A rhombus is a parallelogram with all sides equal. A rectangle is a parallelogram with all angles equal. A square is a rhombus with all angles equal which is a parallelogram with all sides equal and all angles equal.
Square. By definition, its sides must all be equal.