A rectangle or a parallelogram
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
always
true
The missing word is "bisect".
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
False
false
no
A parallelogram.
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
It could be a square, but consider the following congruent & perpendicular 'diagonals of a quadrilateral (you will have to connect the endpoints of the diagonals, yourself, as it cannot be drawn in text): . _|___ . | . | . | If the two diagonals, also bisect each other, then it's a square, otherwise it is not.
True
In a quadrilateral, the diagonals do not have to bisect each other or be perpendicular. These properties hold true for specific types of quadrilaterals, such as rectangles (where diagonals bisect each other and are equal) and rhombuses (where diagonals bisect each other at right angles). However, in general quadrilaterals, the diagonals can have various lengths and angles without conforming to these conditions.
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