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If the diagonals of a quadrilateral are perpendicular can the quadrilateral be a rectangle?
Sure, a square is a rectangle and the diagonals of a square are perpendicular.
Which quadrilateral must have diagonals that are congruent and perpendicular?
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
Is it possible for a quadrilateral to have perpendicular diagonals without being a rhombus?
yes. A kite is not a rhombus, but has perpendicular diagonals.
A quadrilateral with equal diagonals that are also perpendicular?
A square
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is 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.
Are the diagonals of a quadrilateral always perpendicular?
No.
If the diagonals of a quadrilateral are perpendicular can the quadrilateral be a rectangle?
Sure, a square is a rectangle and the diagonals of a square are perpendicular.
Is a quadrilateral with perpendicular diagonal a rhombus?
Not necessarily. But a parallelogram with perpendicular diagonals must always be one.
What polygon is a quadrilateral and the diagonals are perpendicular?
quadrilateral
Which quadrilateral always has perpendicular diagonals?
A square, a rhombus and a kite have diagonals that intersect each other at right angles.
Which quadrilateral must have diagonals that are congruent and perpendicular?
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
What is the name of the quadrilateral that are perpendicular and bisect each other?
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.
In which quadrilateral are the diagonals perpendicular?
rhombus
Which quadrilateral has perpendicular diagonals?
Rhombus
What is a quadrilateral with the diagonals forming right angles?
If the diagonals of a quadrilateral are perpendicular to each other, then the quadrilateral is a square.Or a kite.
If the diagonals of a quadrilateral are perpendicular then the quadrilateral is a rhombus?
While it is true that if a quadrilateral has perpendicular diagonals, it can indicate that the shape is a rhombus, this condition alone is not sufficient for classification. Other quadrilaterals, such as kites, can also have perpendicular diagonals. Therefore, while perpendicular diagonals are a characteristic of rhombuses, they do not definitively determine that a quadrilateral is a rhombus without additional properties being met.
Is it possible for a quadrilateral to have perpendicular diagonals without being a rhombus?
yes. A kite is not a rhombus, but has perpendicular diagonals.
