Rhombus
A rhombus is a quadrilateral whose four sides all have the same length.
A rhombus has four equal sides, opposite sides that are parallel, equal opposite angles and diagonals that bisect at right angles.
Diagonals are DB = d1 and AC = d2
DB ⊥ AC
Properties of Rhombus | Reference |
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All sides of a rhombus are congruent (equal).
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AB = CD = DA = BC |
Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.
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Diagonals DB and CA bisect each other at 90° |
The opposite sides are parallel.
Opposite angles are equal |
CD || AB and BC || AD.
∠A = ∠C and ∠D = ∠B
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Adjacent angles add up to 180° |
∠A + ∠B = 180° ∠B + ∠C = 180° ∠C + ∠D = 180° ∠A + ∠D = 180° |
Area |
Perimeter |
Area = ah |
Perimeter = 4⋅a |