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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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