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If it is a 4-sided figure, then a parallelogram. But if it has only two equal sides, it cannot be a rhombus (or square, which is a special case of rhombus).

It could also be a pentagon with vertices at A=(0,0), B=(2,0), C=(3,1), D=(3,2) and E= (0,2). Then AB and ED are parallel (both to the x-axis), and AE and CD are parallel (both to the y-axis). Also, AB and AE are both 2 units long. In this configuration, the x-coordinate of C and D could take almost any value as long as it was the same for these two points.

Then there are hexagons, heptagons etc, etc that can satisfy the requirements.

you may also want to look at trapezoids and equilateral.. rhombus have equal opposing angles!

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Q: What polygon has 2 parallel sides and 2 equal sides?
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