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on April 22, 2022

How is a rectangle different from a rhombus?

Space and Astronomy


A rhombus has four equal sides, whereas, in a rectangle, the opposite sides are equal. The diagonals of a rhombus bisect each other at 90°, whereas the diagonals of a rectangle bisect each other at different angles. In a rhombus, the opposite angles are equal, whereas, in a rectangle, all angles measure 90°.

Contents:

  • What is the difference between rectangle rhombus and square?
  • What are the similarities between rectangle and rhombus?
  • Why is a rectangle not a rhombus?
  • How do you prove that a rectangle is a rhombus?
  • Is a rhombus and not a rectangle?

What is the difference between rectangle rhombus and square?

The sides of a square are perpendicular to each other and its diagonals are of equal length. A rhombus is a quadrilateral in which the opposite sides are parallel and the opposite angles are equal.
Difference Between Square and Rhombus.

SQUARE RHOMBUS
A square has four lines of symmetry. A rhombus has two lines of symmetry.

What are the similarities between rectangle and rhombus?





Similarities between rhombus and rectangle

A Rhombus is a quadrilateral A Rectangle is also a quadrilateral
Opposite sides of Rhombus are parallel to each other Opposite sides of rectangle are parallel to each other
Adjacent Angles of Rhombus are supplementary Adjacent angles of Rectangle are also supplementary

Why is a rectangle not a rhombus?

A square is a special case of rectangle with all equal sides. Since, we know, a rhombus has all equal sides. The sets of rectangles and rhombuses only intersect in the case of squares. Therefore, the rectangle is not a rhombus.

How do you prove that a rectangle is a rhombus?

If all sides of a quadrilateral are congruent, then it’s a rhombus (reverse of the definition). If the diagonals of a quadrilateral bisect all the angles, then it’s a rhombus (converse of a property).

Is a rhombus and not a rectangle?



A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.



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