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Q: Is a square a parallelogram with diagonals congruent and perpendicular?
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What kind of parellogram is it If the diagonals of a parallelogram are congruent and are perpendicular bisectors of each other?

If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.


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 type of parallelogram always has diagonals that are congruent and are perpendicular bisectors of each other?

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).


A parallelogram with congruent diagonals is a?

square and rectangle


Can the diagonals of a parallelogram be perpendicular?

Yes, if the parallelogram is a rhombus or a square.


What shape has diagonals that are perpendicular?

The diagonals of a rhombus are perpendicular. A rhombus is a special kind of parallelogram. It has the characteristics of a parallelogram (both pairs of opposite sides parallel, opposite sides are congruent, opposite angles are congruent, diagonals bisect each other.) It also has special characteristics. It has four congruent sides. So it looks like a lopsided or squished square. Its diagonals are perpendicular. Another property: each diagonal bisects two angles of the rhombus.


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.


What polygons have congruent diagonals but not perpendicular?

square and rectangle


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.