A polygon with 2n sides (n>1) can have opposite sides congruent.
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this would be a rhombus. rhombuses are parallelograms (four-sided shapes with opposite sides parallel) that have all equal side lengths. squares are included as rhombuses.
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
Any regular polygon with an even number of sides will have opposite angles of equal measure.
A square's opposite sides are parallel and all the sides are congruent.
Yes. A parallelogram has congruent opposite sides as well as congruent opposite angles.