Yes you can. Think about a large LED clock display - each segment of the lines that make up the numbers, is a string of LED's connected in parallel - so they all light up at the same time.
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Squares, rectangles, parallelograms and rhombuses have two parallel sides. The other two are also parallel. A trapezium has only two parallel sides.
a trapezoid
trapezoid
Two sides of a quadrilateral can be parallel.
A trapezium has two parallel sides (of unequal length) and two non-parallel sides.