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rectangle
all four interior angles are right angles, and all diagonals are congruent
rhombus
all four sides are congruent, the diagonals are perpendicular, all diagonals bisect opposite angles
square
all four sides are congruent, all four angles are right angles, the diagonals are congruent AND perpendicular, the diagonals bisect opposite angles
trapezoid
bases are parallel
isosceles trapezoid
bases are parallel, legs are congruent, diag are congruent, base angles are congruent