Question

How do I prove that a quadrilateral is a rectangle? (in a Column chart with statement and reason)

Answer 1

By definition, we have to:

 In plane geometry, a rectangle is a parallelogram whose four sides are at right angles to each other. Opposite sides have the same length.

 There is a proof that a quadrilateral is a rectangle:

  1) Its parallel sides are the same.

 2) Its two diagonals are the same, and they bisect each other at the common midpoint

 3) Any rectangle can be inscribed in a circle, two of whose diameters coincide with the diagonals of the rectangle.

 4) If all the angles of a quadrilateral are right angles, then it is a rectangle