Special Cases
The Varignon parallelogram is a rhombus if and only if the two diagonals of the quadrilateral have equal length.
The Varignon parallelogram is a rectangle if and only if the diagonals of the quadrilateral are perpendicular.
Read more about this topic: Varignon's Theorem
Famous quotes containing the words special and/or cases:
“Personal prudence, even when dictated by quite other than selfish considerations, surely is no special virtue in a military man; while an excessive love of glory, impassioning a less burning impulse, the honest sense of duty, is the first.”
—Herman Melville (1819–1891)
“... and the next summer she died in childbirth.
That’s all. Of course, there may be some sort of sequel but it is not known to me. In such cases instead of getting bogged down in guesswork, I repeat the words of the merry king in my favorite fairy tale: Which arrow flies for ever? The arrow that has hit its mark.”
—Vladimir Nabokov (1899–1977)