A parallelogram cannot have only two congruent sides, nor only two congruent angles.
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Yes.
always
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
A rhombus, or a square if there is a 90o angle.
Isosceles Triangle