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If a quadrilateral is a parallelogram and the diagonals are perpendicular then it must be a square?
Wiki User
∙ 13y ago
False. It could be a rhombus.
Wiki User
∙ 13y ago
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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.
A quadrilateral with equal diagonals that are also perpendicular?
A square
What other possible names for a square?
A square is a type of parallelogram which is a type of quadrilateral which is a polygon.from WikipediaA convex quadrilateral is a square if and only if it is any one of the following:[2][3]a rectangle with two adjacent equal sidesa quadrilateral with four equal sides and four right anglesa parallelogram with one right angle and two adjacent equal sidesa rhombus with a right anglea rhombus with all angles equala quadrilateral where the diagonals are equal and the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals
What are all the names of all the quadrilateral with pictures?
Rectangle: A quadrilateral with 4 right angles, diagonals congruent/bisecting, and opposite sides congruent, BUT ADJACENT SIDES ARE NOT CONGRUENT. Rhobus: A quadrilateral with opposite congruent angles, but adjacent angles are Not congruent, perpendicular bisecting diagonals and 4 congruent sides. Square: A quadrilateral that is a rectangle and a square with 4 right angles, diagonals congruet/bisecting that ar perpendicular, and opposites sides congruent.
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 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
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).
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 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
Which quadrilateral diagonals are perpendicular?
Square, Rhombus. * * * * * Or a kite or arrowhead.
