How to prove that a quadrilateral is a rectangle?

A rectangle is a parallelogram (quadrangle) with all angles straight.
To prove that a quadrilateral is a rectangle, you need to prove that this quadrilateral has all angles equal to 90 degrees (or at least 3, then the last corner has nowhere to go, it will also be equal to 90 degrees, since the sum of the angles in the quadrilateral is 360 degrees).
By the way, a square is also a rectangle in which all sides are equal.



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