Diamond, Rhombus, and Trapezoid space all * quadrilaterals*, which space polygons with 4 sides. If rhombus and trapezium room properly identified in mathematics, diamond (or diamond shape) is a layman’s term for rhombus.

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**Rhombus and Diamond**

A quadrilateral through all political parties equal space in size is recognized as a rhombus. It is also named as an * equilateral quadrilateral*. It is thought about to have a diamond shape, similar to the one in the play cards. Diamond form is no a precisely characterized geometrical entity.

Rhombus is a special situation of the * parallelogram*. It have the right to be thought about as a parallelogram v equal sides. The square can be taken into consideration as a special case of the rhombus, wherein the inner angles are ideal angles. In general, a rhombus has actually the following special properties

*• All four sides space equal in length. (AB=DC=AD=BC)*

*• The diagonals of the rhombus bisect each other at right angles; diagonals room perpendicular to every other,*

in addition to the adhering to properties that a parallelogram.

*• *Two bag of the contrary angles space equal in size. (DÂB = BĈD, A* ̂*DC=A* ̂*BC)

*• *The surrounding angles room supplementary DÂB+A* ̂*DC = A* ̂*DC+B* ̂*CD = B* ̂*CD+A* ̂*BC = A* ̂*BC+D* ̂*AB = 180° = π rad

*• *A pair of sides, which room opposing every other, is parallel and also equal in length. ( AB=DC & AB∥DC)

*• *The diagonals bisect each various other (AO=OC, BO=OD)

*• *Each diagonal divides the quadrilateral right into two congruent triangles. (*∆*ADB ≡ *∆*BCD, *∆*ABC ≡ *∆*ADC)

*• *The diagonals bisect the two opposite internal angles.

Area the the rhombus can be calculated utilizing the complying with formula.

*Area that rhombus = ½ (AC × BD)*

**Trapezoid (Trapezium)**

Trapezoid is a convex quadrilateral where at the very least two sides space parallel and also unequal in length. The parallel political parties of the trapezoid are known as the * bases* and also the various other two sides are dubbed the

*.*

**legs**

Following space main characteristics of trapezoids;

*• *If the nearby angles room not top top the very same base the the trapezoid, they space supplementary angles. I.e. They include up come 180° (BA ̂D+AD ̂C = abdominal muscle ̂C+BC ̂D = 180°)

*• *The two diagonals of the trapezium crossing at the same ratio (ratio between the section of the diagonals room equal).

*• *If a and b room bases and also c,d are legs, the *lengths the the diagonals** are provided by *

Area the the trapezoid have the right to be calculated making use of the complying with formula.

Read the **Difference between Parallelogram and also Trapezoid**

**What is the difference between Diamond, Rhombus and also Trapezoid?**

• Rhombus and also Trapezoid are well-defined mathematics objects when diamond form is a layman’s term. Each shape has four sides, and also diamond shape refers to a rhombus.

• Rhombus has actually equal sides, through opposing sides parallel to each other. Trapezoid has actually unequal political parties in general, v two sides parallel to every other. Just the foot of the trapezoid can be equal.

• Any diagonal of the rhombus separates the rhombus right into two congruent triangles. The triangles created by the diagonals of the trapezoid room not have to congruent.

• Diagonals the the rhombus crossing each other at right angles while diagonals that the trapezoid space not have to perpendicular to every other.

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• Diagonals of the rhombus bisect each other while diagonals the the rhombus intersect at the exact same ratio.