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Constructing Quadrilaterals :To construct a quadrilateral, one should know the properties of it .It is constructed using 4 straight sides.Construction of quadrilaterals can be categorized by the length of its sides and the size of its angles.

The quadrilateral family includes

Constructing quadrilaterals can be done through 4 ways.

Construct the quadrilateral ABCD with AB = 4 cm, BC = 6 cm, CD = 5.5 cm, AD= 5 cm and AC = 8 cm.

The given quadrilateral ABCD can be drawn as follows:

ABCD is the required quadrilateral.

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Construct the quadrilateral PQRS in which PQ = 4 cm, QR = 3 cm, PS = 2.5 cm, PR = 4.5 cm and QS = 4 cm.

PQRS is the required quadrilateral.

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Construct a trapezoid ABCD in which AB || CD, AB = 8 cm, BC = 6.0 cm and CD = 4 cm and ∠B = 60°.

In a trapezoid, ABCD, AB || DC.

∴ ∠B + ∠C = 180°

or, 60° + ∠C = 180°

or, ∠C = 180° - 60° = 120°

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Construct the quadrilateral TRUE in which TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R = 75° and ∠U =120°.

TRUE is the required quadrilateral.

• Basic Geometric Constructions

• Construction of Line Segment

• Bisecting a Line Segment

• Constructing Angles

• Bisecting Angles

• Constructing Parallel Lines

• Construction of Triangle (SSS)

• SAS Triangle Construction

• ASA Triangle Construction

• HL Triangle Construction (Rhs -construction)

• Constructing Quadrilaterals

• Constructing Triangles(when sum of sides or perimeter is given)

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