Construct a quadrilateral JUMP in which JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, and diagonal, PU = 6.5 cm.

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Solution

Steps of construction:
1. Draw diagonal PU of length 6.5cm.
2. Taking 4.5cm as radius & P as center, draw an arc on top of PU.
3. Taking 3.5cm as radius & U as center, draw another arc on top of PU.
4.Let J be the point where arcs intersect.
5.Join JP, JU
6. Taking 5cm as radius & P as center, draw an arc on bottom of PU.
7. Taking 4cm as radius & U as center, draw another arc on bottom of PU.
8.Let M be the point where arcs intersect. Join MP, MU.
9.Label the sides.
JUMP 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 the following quadrilaterals.

(i) Quadrilateral $A B C D$

$A B = 4.5 c m$

$B C = 5.5 c m$

$C D = 4 c m$

$A D = 6 c m$

$A C = 7 c m$

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

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 a quadrilateral ABCD in which BC=4 cm, CA=5.6 cm, AD=4.5 cm, CD=5 cm, and BD=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

Construct the quadrilateral JUMP where

JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm. [5 marks]

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