There is no specific name for such a shape.
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trapezoid
A four-sided shape with only 2 sides the same length is called a rhombus.
A 9-sided shape is known as a nonagon.
There is none. A 5 sided shape is a pentagon but that has 10 diagonals, not 2.
The four sided shape that has two parallel lines is called a trapezoid. A parallelogram is a four sided shape that has two pairs of parallel lines.