Talk:Equidiagonal quadrilateral

Please explain

The cyclic equidiagonal quadrilaterals are exactly the isosceles trapezoids.(can be found in the Relations to Other Types of Quadrilaterals section) what does this exactly mean? WorldDiagram837 (talk) 03:16, 5 January 2025 (UTC)[reply]

It means: if a quadrilateral has two equal-length diagonals, and if also its vertices all lie on a circle, then it is a trapezoid and the two non-parallel sides of the trapezoid have equal length. And vice versa: if it is a trapezoid with equal sides, then it also has equal diagonals and its vertices all lie on a circle. —David Eppstein (talk) 05:01, 5 January 2025 (UTC)[reply]

alright I was just thinking what you said , however, is it me or the sentence wording is weird?( are exactly the isosceles trapezoids) why not simple maybe the cyclic equidiagonal quadrilaterals are isosceles trapzeoids... WorldDiagram837 (talk) 10:21, 6 January 2025 (UTC)[reply]

thanks though WorldDiagram837 (talk) 10:21, 6 January 2025 (UTC)[reply]

Because your wording would suggest an implication in one direction but not the other direction. The implication goes both ways. —David Eppstein (talk) 17:55, 6 January 2025 (UTC)[reply]

then maybe just add a vice-versa at the end of my sentence? the wording of that sentence is still a little awkward for me. WorldDiagram837 (talk) 02:40, 7 January 2025 (UTC)[reply]