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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
square
square and rectangle
A rhombus, square, kite or arrowhead.
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.
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.
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
square
No. If the diagonals of a parallelogram are congruent then it must be a rectangle (or square).
square and rectangle
Yes, if the parallelogram is a rhombus or a square.
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.
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.
square and rectangle
A rhombus, square, kite or arrowhead.
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.