what makes a rhombus a rhombus

what makes a rhombus a rhombus

1 month ago 10
Nature

A rhombus is defined as a quadrilateral with four sides of equal length. This is the primary characteristic that makes a rhombus distinct from other quadrilaterals

. Key properties that make a rhombus a rhombus include:

  • All sides are equal in length (AB = BC = CD = DA)
  • Opposite sides are parallel (AB ∥ CD and AD ∥ BC), making it a special type of parallelogram
  • Opposite angles are equal (∠A = ∠C and ∠B = ∠D)
  • Adjacent angles are supplementary , meaning they add up to 180°
  • Diagonals bisect each other at right angles (90°) and are perpendicular, which is a defining feature of a rhombus
  • Diagonals bisect the angles of the rhombus
  • The sum of the interior angles is always 360°

Additionally, a rhombus has rotational symmetry of 180 degrees and two lines of symmetry along its diagonals

. In summary, a rhombus is a parallelogram with four equal sides, perpendicular diagonals that bisect each other and the angles, and opposite sides parallel with equal opposite angles. These combined features distinguish a rhombus from other quadrilaterals like rectangles or general parallelograms

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