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Home >> Rhombus >>

Rhombus : Side, Vertices, Diagonals and Angles

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



    In the above diagram of Rhombus ABCD:

  • Sides : AB, BC, CD and DA are sides
  • Vertices : A, B, C and D are vertices
  • Diagonals : 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)

  • ∠ BAD = ∠ BCD & ∠ ABC = ∠ CDA (Opposite angles are of equal measure)

  • Adjacent Angles are supplementary i.e.
    ∠ BAD + ∠ ABC = 180 Degree,
    ∠ ABC + ∠ BCD = 180 Degree,
    ∠ BCD + ∠ CDA = 180 Degree,
    ∠ BAD + ∠ 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)

  • ∠ 1 = ∠ 2 = ∠ 3 = ∠ 4 = 90 degree each (Diagonals are perpendicular to each other at point of intersection)

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