That description only guarantees a rhombus. In order to guarantee that it's a square, the angles must also be congruent.
2 sides
An isosceles trapezoid must have a pair of parallel sides and a pair of congruent sides
All four sides of a rhombus must be congruent. In order for it to have four equal sides, it must have two!
2 sides must be congruent and opposite those two sides must be congruent angles.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
For a figure to be a square, it must have four congruent sides and four right angles. For a figure to be a rectangle, it only has to have four right angles.
Two sides and the included angle of one triangle must be congruent to two sides and the included angle of the other.
False dood
For a figure to be regular, all its sides and angles must all be congruent. So if a pentagon is regular, all of its sides and angles are equal to each other.
The seven sides, in order, must be congruent, as must the seven angles.
An isosceles trapezium in which the sloped sides are congruent to either the base or the top will have a total of three congruent sides. The top and bottom MUST be different.