Q: What has four eqaual sides and perpendicular diagonals?

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-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular

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.

A square is on example. The perpendicular bisectors of the sides and the two diagonals comprie four lines of symmetry.

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.

rhombus

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It is a rhombus. All four sides have the same length and the diagonals are therefore perpendicular.

-- four equal sides -- opposite sides are parallel -- opposite angles are congruent -- diagonals are perpendicular

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.

"It has four sides" is a description that does not guarantee that a quadrilateral is 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.

A square is on example. The perpendicular bisectors of the sides and the two diagonals comprie four lines of symmetry.

"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.

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.

rhombusImproved Answer:-It is a rhombus because its diagonals are perpendicular to each other thus creating 4 right angles.

No, a square has four perpendicular sides.

A quadrilateral with four congruent sides and uncongruent diagonals is a Rhombus. See related link for a picture

A parallelogram.