A, a triangle
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A 4 sided polygon is called a quadrilateral. Depending on where the two right angles are, would put the quadrilateral into different subsets. For example if the two right angles are on adjacent corners (and the other 2 angles are not right angles), then it is a trapezoid. If the 2 right angles are in opposite corners, and the other 2 angles are not right angles then it would be a kite-shaped quadrilateral.
trapeziod
That would be a trapezoid. A trapezoid does not have to have two right angles it only needs to have two parallel sides. There is not a name for the exact quadrilateral you are looking for but the shape is still within the definition of a trapezoid.
It is a parallelogramIf one of the angles is a right angle (then they all are) and the quadrilateral is a rectangle.If both pairs of sides are equal in length (but none of the angles is a right angle) the quadrilateral is a rhombus.If the sides are equal and one of the angles is a right angle, the quadrilateral is a square.
A special type of Kite has exactly two right angles and a certain type of trapezium can have 2 right angles.