Square, Rhombus
always
true
The missing word is "bisect".
false
A quadrilateral whose diagonals bisect each other at right angles is a rhombus. each other at right angles at M. So AB = AD and by the first test above ABCD is a rhombus. 'If the diagonals of a parallelogram are perpendicular, then it is a rhombus
True
True
always
The missing word is "bisect".
true
A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book)
may or may not be
If you are talking about the diagonals of a quadrilateral, the only quadrilateral that have diagonals that are perpendicular and bisect each other is a square, because a rectangle has bisecting diagonals, while a rhombus has perpendicular diagonals. And a square fits in both of these categories.
Square
diagonals.
the anser to this question is a trapiezuim as it could have right angles and its diagonals definatly do not bisect each other
square