Answer :
GIVEN : In Square LUDO,
LU = 4.5 cm
∠LUD = 90o
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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