A trapezoid or a kite
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If it has four equal sides, then two parallel sides implies two PAIRS of parallel sides. The shape is a rhombus.
A trapezium or parallelogram. A pentagon can have a pair of parallel sides. Polygons with 6 or more sides can have two (or more) pairs of parallel sides.
a parallelograma square and a rectangle
triangle
Yes, a square has two pairs of parallel sides.