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
A rectangle is an example of a quadrilateral where the diagonals are congruent and bisect each other. However, a kite is a quadrilateral that can also have congruent diagonals, but they do not bisect each other. In a kite, one diagonal bisects the other at a right angle, while the other diagonal remains unequal in length. Therefore, while both shapes can have congruent diagonals, only the rectangle has diagonals that bisect each other.
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