False. It could be a rhombus.
Sure, a square is a rectangle and the diagonals of a square are 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 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
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.
"It has four sides" is a description that does not guarantee that a quadrilateral is a square.
Sure, a square is a rectangle and the diagonals of a square are perpendicular.
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
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
No. It is false. If both of those conditions are met, then the quadrilateral is a square.
Yes, if the parallelogram is a rhombus or a square.
Is rectangle and any parallelogram not square or rhombus
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.
No, not necessarily. It would have to also be a square or a kite in order to have perpendicular diagonals.
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 square
A square.