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# 1.Construct the following quadrilaterals: (i) Quadrilateral DEAR DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = $$60^{\circ}$$, ∠A =$$90^{\circ}$$ (ii) Quadrilateral TRUE TR = 3.5 cm, RU = 3 cm, UE = 4.5 cm, ∠R = $$75^{\circ}$$, ∠U =$$120^{\circ}$$

(i)Draw a rough sketch first as per the given dimensions

Construction:

Step 1: Draw a line segment DE = 4 cm.

Step 2: Draw an angle of $$60^{\circ}$$ at E.

Step 3: Draw an arc with centre E and radius 5 cm to meet the angle line at A.

Step 4: Draw an angle of $$90^{\circ}$$ at A and cut an arc AR = 4.5 cm and join DR.

Hence we have, DEAR as the required quadrilateral.

(ii)Draw a rough sketch first as per the given dimensions

Construction:

Step 1: Draw a line segment TR = 3.5 cm

Step 2: Draw an angle of $$75^{\circ}$$ at R and cut RU = 3 cm.

Step 3: Draw an angle of $$120^{\circ}$$ at U and cut UE = 4.5 cm.

Step 4: Join TE.

Hence we have TRUE as the required quadrilateral.