yes a parallelogram is congruent
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If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
The diagonals are not congruent unless the parallelogram happens to be a rectangle.
If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths.
A square
A parallelogram with four congruent sides may be either a square or a rhombus.