A square, rectangle.
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The shape of 2 right angles is a square.
A cyclic kite. A kite is cyclic if it has only two right angles.
There is no such shape because the 4 angles in a 4 sided quadrilateral must add up to 360 degrees no more and no less . Therefore 2 obtuse angles and 2 right angles are greater than 360 degrees which doesn't quite measure up for the requirements of a 4 sided quadrilateral.
A rectangle.
There is no shape with exactly 4 right angles and 2 congruent sides.A rectangle has 4 right angles and 2 pairs of congruent sides - 4 sides in all. But if the numbers in the question are not limiting, then there are many more shapes. An irregular hexagon with the following shape, will meet the requirements if its height is the same as its base.___|....\|......\___!_______|There are lots more shapes with more sides.