it cant be possible
A kite or some irregular quadrilaterals.
A rhomboid and oblong
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.
square and rectangle
it cant be possible
A kite or some irregular quadrilaterals.
A rhomboid and oblong
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!
The two quadrilaterals are squares.
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.
Congruence is a relationship between two shapes. ANY one shape cannot be congruent.
quadrilaterals are consecutive and opposite angles always congruent?
No. Consider a square and rectangle.
that would be a parallelogram
There is no specific name for them.