A parallelogram is a 4 sided figure that has 2 pairs of sides. Some examples would be a rectangle or a square.
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trapezoid
A trapezium has only 1 pair of parallel lines.
I don't know about the relation in the perimeters of a triangle and a parallelogram but if a triangle is on the same base on which the parallelogram is and the triangle is between the same parallel lines of the parallelogram, then the area of the triangle will be half the area of the parallelogram. That is, area of a triangle = 1/2 area of a parallelogram if the triangle is on the same base and between the same parallel lines.
No because a trapezoid has only 1 pair of parallel sides whereby a parallelogram has 2 pairs of parallel sides
a tetrahedon