Yes, if you count four congruencies as six pairs.
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No.
It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular
because it has two pairs of congruent sides, the diagonals are equal in length, and the diagonals bisect each other.
triangle
yes