Any regular shapes have equal sides, including squares and equilateral triangles. Irregular shapes can also have equal sides, but not equal angles.
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No, octagons just have to be closed shapes with eight sides - the sides do not have to be of equal length.
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".
Square.
Four equal sides make up a square. The sides may be any size, as long as they are equal. A square is one of the most basic shapes.
Isometric shapes means having the same dimension or measurements. A shape that is equal on all sides is isometric.