Is there a quadrilateral with equal diagonals that is not a rectangle?
| May 13, 2021 | education
Equidiagonal quadrangles (quadrilaterals with equal diagonals) include rectangles, squares, and isosceles trapezoids. Since a square is a special case of a rectangle (in fact, it is a rectangle whose length and width are equal to each other), it is not suitable for the answer.
Thus, an isosceles trapezoid remains. This polygon is not a rectangle because all of its adjacent sides are not mutually perpendicular.
Answer: there is an isosceles trapezoid.
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