Construct a quadrilateral BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.

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Solution

$Steps of construction : Step I : Draw EF = 3.5 cm . Step II : Construct ∠ DEF = 100 ° at E . Step III : With E as the centre and radius 4.5 cm, cut off DE = 4.5 cm . Step IV : Construct ∠ EFB = 50 ° at F . Step V : With F as the centre and radius 6.5 cm, cut off FB = 6.5 cm . Step VI : Join BD . The quadrilateral so obtained is the required quadrilateral .$

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Question 2
Construct the Quadrilateral JUMP where

JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Construct a quadrilateral $J U M P$ , when: $J U = 3.5$ cm, $U M = 4$ cm, $M P = 5$ cm, $P J = 4.5$ cm and $P U = 6.5$ cm

∠

∠

∠

∠

∠

DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠ E = 60^{\circ}

∠ A = 90^{\circ}

TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠ R = 75^{\circ}

∠ U = 120^{\circ}

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