true or false
2007-05-15 04:35:45 · 5 answers · asked by bekah_2009 2 in Science & Mathematics ➔ Mathematics
False, it's only a square if the diagonals are perpendicular and the same length.
2007-05-15 04:39:24 · answer #1 · answered by Pfo 7 · 2⤊ 0⤋
Need not always be the case. There is a type of quadrilateral called a rhombus that is a parallelogram with diagonals that are perpendicular bisectors of each other. It need not always be a square.
It is possible for a quadrilateral to have all sides equal without a single right angle. A rhombus is such a quadrilateral. A square is a rhombus with a right angle.
Another important thing to note is that in a rhombus and a square, the diagonals are perpendicular. But in a square, they (the diagonals) must be equal, which is not mentioned anywhere in the statement. A rhombus' diagonals are not equal.
If a quadrilateral is a parallelogram and the diagonals are perpendicular, then it may be a square.
Since 'true' and 'false' are the only options, I'll pick 'false'. The correct answer for this kind of a statement is 'ambiguous'. It means that the given statement is not true all the time, but nor is it completely incorrect.
2007-05-15 11:54:24 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 1⤊ 0⤋
False, it is a rhombus but not necessarily a square
2007-05-15 12:33:30 · answer #3 · answered by Kathleen K 7 · 2⤊ 0⤋
hi
2007-05-15 12:33:37 · answer #4 · answered by raj122001 1 · 0⤊ 4⤋
i have to agree that it is ambiguous
2007-05-15 11:55:31 · answer #5 · answered by sigma_mate@sbcglobal.net 1 · 1⤊ 2⤋