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Rhombus

Area of Rhombus Difference & Similarity between Rhombus & Rectangle Difference & Similarity between Rhombus & Square Difference & Similarity between Rhombus & Parallelogram Construction of Rhombus with Compass

Rhombus is a quadrilateral whose:

  • All sides are of equal length
  • Opposite sides are parallel
  • Opposite angles are of equal measure
  • Adjacent Angles are supplementary
  • Diagonals are unequal
  • Diagonals bisect of each other at point of intersection
  • Diagonals are perpendicular to each other at point of intersection

    Observe the following diagram:



    In the above diagram of Rhombus ABCD:
    AB, BC, CD and DA are sides
    A, B, C and D are vertices
    AC and BD are diagonals
    O is the point of intersection of diagonals AC and BD
    As per the properties of Rhombus, we have:

  • AB = BC = CD = DA (All sides are of equal length)
  • AB // CD & BC // DA (Opposite sides are parallel)
  • Angle BAD = Angle BCD & Angle ABC = Angle CDA (Opposite angles are of equal measure)
  • Angle BAD + Angle ABC = 180 degree , Angle ABC + Angle BCD = 180 , Angle BCD + Angle CDA = 180, Angle BAD + Angle CDA = 180 Degree (Adjacent Angles are supplementary)
  • AC is not equal to BD (Diagonals are unequal)
  • AO = OC & BO = OD (Diagonals bisect of each other at point of intersection)
  • Angle 1 = Angle 2 = Angle 3 = Angle 4 = 90 degree each (Diagonals are perpendicular to each other at point of intersection)



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