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The browser used by the Answers community is useless at graphics and so I cannot show you some example. There are infinitely many shapes with only right angles which are not polygons. One example is a side view of a staircase. An "H" section, "I" section, "T" section (commonly used to describe steel girders), or a "Maltese Cross" are all examples of shapes with only right angles that are not quadrilaterals.
Finally, the question does not require the shape to have only square angles. There are many more shapes with two or more right angles and other angles as well.
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What is the shape that has 4 corners and 4 lines?
A square or quadrilateral.
What is a shape that has 4 corners and 4 sides all the same leght?
a square, quadrilateral or a cube.
What shape has 4 corners?
A quadrilateral. There are numerous quadrelaterals including a square, a rectangle, a diamond etc
What shape has 1 side and 4 corners?
a quadrilateral
What shape has five faces and five corners?
A quadrilateral based pyramid.
