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Construction of a Quadrilateral When Four Sides and One Diagonal Are Given

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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

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Solution

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

To construct: A quadrilateral JUMP

Steps of construction:

(a) Draw JU= 3.5 cm.

(b) Draw an arc of radius 4.5cm taking centre J and the draw another arc of radius 6.5 cm taking U as centre. Both arcs intersect at P.

(c) Join PJ and PU

(d) Draw arc of radius 5 cm and 4 cm taking P and U as centres respectively, which intersects at M.

(e) Join MP and MU.

It is required quadrilateral JUMP.

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Similar questions

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

Construct the following quadrilaterals.

(i) Quadrilateral $A B C D$

$A B = 4.5 c m$

$B C = 5.5 c m$

$C D = 4 c m$

$A D = 6 c m$

$A C = 7 c m$

(ii) Quadrilateral

J U M P

J U = 3.5 c m

U M = 4 c m

M P = 5 c m

P J = 4.5 c m

P U = 6.5 c m

(iii) Parallelogram

M O R E

O R = 6 c m

R E = 4.5 c m

E O = 7.5 c m

B E S T

B E = 4.5 c m

E T = 6 c m

Construct the quadrilateral JUMP where

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

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 PQRS. PQ=3.5 cm, QR=4 cm, RS=5 cm, SP=4.5 cm, PR=6.5 cm

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Construction of a Quadrilateral When Four Sides and One Diagonal Are Given

Standard VIII Mathematics

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