Arithmetic
Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
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)

  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)