A quadrilateral with the same shape but all sides that are some (non-zero) multiple of the sides of the original.
Another way of looking at it is two quadrilaterals whose corresponding angles are the same measure.
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parallel sides, four right angles, quadrilateral
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!
It is a quadrilateral having neither pair of sides parallel. Or as a four sided polygon, two sides are parallel and two are not
It is an inscribed quadrilateral or cyclic quadrilateral.
It is simply a quadrilateral - there is no special name for such a quadrilateral.