A triangular prism.
a cylinder!
No.
The simplest shape is a hexagonal prism.
No but a cylinder does have 2 parallel bases
It is a cylinder
No, its a triangularprism
A triangular prism.
Triangle
a cylinder!
No.
parallelogram, because if the two bases are congruent and parallel then the sides will also have to be parallel, so it is a parallelogram
The simplest shape is a hexagonal prism.
No but a cylinder does have 2 parallel bases
That is a mathematical impossibility. At least 2 angles have to be congruent in order for the shape to have 4 sides.
what shape has 2 bases? ?
This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).