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it cant be possible
A rhomboid and oblong
A kite or some irregular quadrilaterals.
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
A parallelogram (and all its special cases) has two pairs of opposite sides that are congruent. An isosceles trapezium has one pair of congruent opposite sides. Selected irregular quadrilaterals can have a pair.