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Rhombus
4 congruent sides; diagonals are perpendicular; each diagonal bisects a pair of opposite angles; all properties of a pararallogram
Square
4 congruent sides, 4 congruent angles (90 degrees each), diagonals perpendicular, diagonals bisect opposite angles, properties of parallelogram; diagonals bisect each other
Rectangle
Opposite sides are congruent; opposite sides are parallel; opposite angles congruent; consecutive angles are supplementary; diagonals bisect each other; all four angles are right; diagonals are congruent
Parallelogram
Opposite side parallel; opposite side congruent; consecutive angles are supplementary
Trapezoid
Only one pair of parallel sides; mid segments connects the midpoints of the legs
Isosceles trapezoid
Legs are congruent; bases parallel; both pairs of base angles are congruent, diagonals congruent
Kite
Only 2 pairs of consecutive congruent sides; perpendicular diagonals; one pairs of opposite angles is congruent