Answer :

GIVEN : In Square LUDO,

LU = 4.5 cm

∠LUD = 90^{o}

PROCEDURE :

Step 1 : Draw a rough sketch of the required quadrilateral and mark the given measurements.

Here , we are given only 2 measurements. But as LUDO is a square , we can also write that LU = UD = DO = OL = 4.5 cm.

(now we got 5 measurements in total)

Step 2 : Draw ΔLUD using S.A.S property of construction , by taking LU = 4.5 cm , ∠ LUD = 90° and UD = 4.5 cm.

Step 3 : To locate the fourth vertex ‘O’ , draw an arc , with center L and radius 4.5cm (LO=4.5cm).

Draw another arc with center D and radius 4.5 cm (DO=4.5cm) which cuts the previous arc at O.

Step 4: Join LO and DO to complete the required square LUDO.

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