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If a quadrilateral is a parallelogram and the diagonals are perpendicular then is it a square?
Wiki User
∙ 13y ago
By that description, all the sides are parallel and have 90 degree angles... But the sides aren't necessarily the same length.
So a square is one example, but you could also have a long rectangle.
apex=False
Wiki User
∙ 13y ago
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What is a quadrilateral with two pairs of parallel lines?
It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular
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 quadrilateral has the diagonals of a perpendicular bisectors of equal length?
A square.
What type of figure is a parallelogram if the diagonals of a parallelogram are perpendicular?
A rhombus, square, kite or arrowhead.
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.
Which description does not guarantee that a quadrilateral is a square?
"It has four sides" is a description that does not guarantee that a quadrilateral is a square.
If a quadrilateral is a parallelogram and the diagonals are perpendicular then it must be a square?
False. It could be a rhombus.
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.
What is a quadrilateral with two pairs of parallel lines?
It can be :- 1- a parallelogram 2- Square if diagonals are perpendicular and congruent 3- Rectangle if diagonals are congruent 4- Rhombus if diagonals are perpendicular
Is it true that the diagonals of a quadrilateral must bisect each other and be perpendicular to guaantee that the quadrilateral is a parallelogram?
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
Can a quadrilateral be a parallelogram is the diagonals are congruent but the quadrilateral has no right angles?
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
Can the diagonals of a parallelogram be perpendicular?
Yes, if the parallelogram is a rhombus or a square.
In a quadrilateral each side is parallel to its opposite side and the diagonals are not perpendicular What could it be?
Is rectangle and any parallelogram not square or rhombus
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.
Does a parallelogram have perpendicular diagonals?
No, not necessarily. It would have to also be a square or a kite in order to have perpendicular diagonals.
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.
A quadrilateral with equal diagonals that are also perpendicular?
A square
