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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.
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False
Find out What is quadrilateral whose diagonal or perpendicular to each other but unequal?
It is a rhombus or a kite
Robert states If the diagonals of a quadrilateral bisect each other then the quadrilateral is a rectangle. Decide if his statement is true or false.?
Robert's statement is false. While the diagonals of a rectangle do bisect each other, the property of diagonals bisecting each other is also true for other types of quadrilaterals, such as parallelograms and rhombuses. Thus, a quadrilateral with bisected diagonals can be a parallelogram or a rhombus, not exclusively a rectangle.
A quadrilateral having both diagonals congruent is a?
If both pairs of opposite sides are parallel: A Rectangle, or a Square. If exactly one pair of opposite sides are parallel: An Isosceles Trapezoid. If it does not have parallel sides and one diagonal is the perpendicular bisector of the other: A Kite It is also possible that it does not have any parallel sides and neither diagonal is the perpendicular bisector of the other: A quadrilateral
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.
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.
What type of quadrilateral has diagonals the are perpendicular to each other?
A square has.
Why does it make sense knowing the diagonals of a quadrilateral are perpendicular is not sufficient to show the quadrilateral is a rhombus?
It makes sense because it is true. There are other quadrilaterals whose diagonals are perpendicular.
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False
The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram.?
false
Is it true that The diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
no
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.
What quadrilateral has diagonals a are congruent perpendicular and bisect each other?
square
Which quadrilateral always has perpendicular diagonals?
A square, a rhombus and a kite have diagonals that intersect each other at right angles.
Is a quadrilateral with congruent and perpendicular diagonals a square or a rhombus?
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.
