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A kite figure has.
A trapezoid
A diamond is actually an informal term for a rhombus, which has four equal sides(congruent is not used to refer to equal sides), with the opposite sides being parallel to one another.So a "diamond" has four equal sides and two pairs of parallel sides.
A square and a rhombus both have all sides equal and opposite sides parallel.
An isosceles trapezoid has a pair of parallel sides and a pair of equal base angles