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.