It is a rhombus that has 4 equal sides but no right angles.
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Rhombus. Because a Rhombus has four congruent sides but no right angles.
Square
Rhombus
A quadrilateral with 4 right angles cannot have just two congruent sides so, unless this is a trick question (2 congruent sides does not excluded the possibility of more than 2 congruent sides), the answer is there is no such plane figure.
A square