A square and a diamond
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Three rhombi. Alternatively, a rhombus, and two irregular polygons with 5 or more sides, forur of which are equal. Apart from a rhombus there is no 4-sided shape that has equal sides but no right angles.
It isn't really a square if it has no equal sides. A trapezoid can be drawn that has no equal sides, some can have two sides equal. Quadrilaterals include those 4-sided shapes with no sides equal but they also include all other 4-sided shapes. You would need to specify "Quadrilateral with no equal sides".
rectangle
A rectangle has two pairs of equal sides. In other words, opposite sides of a rectangle are equal in length. This property distinguishes a rectangle from a square, which has all four sides equal in length.
a quadrilateral