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.
no
A parallelogram.
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.
Yes. Because the diagonals are perpendicular to each other and intersect at their midpoints, they bisect each other.
square
False
false
no
A parallelogram.
A rectangle or a parallelogram
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
True
True
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
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.