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No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
no, only a rhombus or square does, which is a special case of a parallelogram; in general, only two sides will be equal for a parallelogram.
Yes, it can be a parallelogram. It will always be a parallelogram. NO. In fact a kite can only be a parallelogram in the extreme case that it is a rhombus (or square). NO. NO. NO. NO. hehe.
perimeter or circumference The only answer is perimeter. The circumference is the the perimeter of a circle; the distance around a circle.
There are no right angles in a parallelogram. A parallelogram only has right angles if it is a rectangle, in which case it has exactly four.