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Name the best classification for a parallelogram with perpendicular diagonals?
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
Four sided figure whose diagonals are perpendicular?
A four-sided figure whose diagonals are perpendicular is a kite. In a kite, two pairs of adjacent sides are equal, and the diagonals intersect at right angles. Additionally, one of the diagonals bisects the other, creating symmetry in the figure. Other quadrilaterals, like rhombuses, also have perpendicular diagonals, but a kite is specifically defined by its side lengths and angle properties.
How do you prove that the diagonals of a square are equal and perpendicular to each other?
To prove that the diagonals of a square are equal and perpendicular, start by noting that a square has four equal sides and four right angles. By using the distance formula, calculate the lengths of the diagonals; since both diagonals connect opposite vertices, they will have the same length, confirming they are equal. To show they are perpendicular, observe that the slopes of the diagonals are negative reciprocals of each other, as they intersect at right angles, demonstrating that the diagonals are perpendicular. Thus, the properties of the square ensure that both conditions are satisfied.
A shape that has 4 lines of symmerty?
A square is on example. The perpendicular bisectors of the sides and the two diagonals comprie four lines of symmetry.
Is a rhombus parallel or perpendicular?
A rhombus is perpendicular * * * * * No, it is not. A rhombus is a four sided plane figure which has two pairs of parallel sides. It is, therefore, a parallelogram. The only thing that is perpendicular in a rhombus is that its diagonals bisect one another at right angles.
Which is the best classification for a parallelogram with perpendicular diagonals?
It is a rhombus. All four sides have the same length and the diagonals are therefore perpendicular.
Name the best classification for a parallelogram with perpendicular diagonals?
The best classification for a parallelogram that has perpendicular diagonals is a rhombus. A rhombus has four sides that are congruent. The also diagonals bisect the vertex angles of this type of parallelogram.
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.
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.
A shape that has 4 lines of symmerty?
A square is on example. The perpendicular bisectors of the sides and the two diagonals comprie four lines of symmetry.
Is the diagonals of rhombus congruent?
"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.
Is a rhombus parallel or perpendicular?
A rhombus is perpendicular * * * * * No, it is not. A rhombus is a four sided plane figure which has two pairs of parallel sides. It is, therefore, a parallelogram. The only thing that is perpendicular in a rhombus is that its diagonals bisect one another at right angles.
Is a square a parallelogram with diagonals congruent and perpendicular?
Yes, a square is a special type of parallelogram. By definition, a parallelogram has opposite sides that are equal and parallel, and in a square, all four sides are equal. Additionally, a square has diagonals that are both congruent (equal in length) and perpendicular (intersecting at right angles), which further distinguishes it from other types of parallelograms.
Does a square only has two perpendicular sides?
No, a square has four perpendicular sides.
What is a quadrilateral that has four congruent sides but its diagonals are not congruent?
A quadrilateral with four congruent sides and uncongruent diagonals is a Rhombus. See related link for a picture
What quadrilateral has four equal sides and four right angles but it is not a square giving reasons?
rhombusImproved Answer:-It is a rhombus because its diagonals are perpendicular to each other thus creating 4 right angles.
What has four sides and its opposite sides are parallel and the diagonals are not equal?
A parallelogram.
