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# 1. Construct the following quadrilaterals: Construct the following quadrilaterals. (i) Quadrilateral ABCD AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm, AC = 7 cm (ii) Quadrilateral JUMP JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU = 6.5 cm (iii) Parallelogram MORE OR = 6 cm, RE = 4.5 cm, EO = 7.5 cm (iv) Rhombus BEST BE = 4.5 cm, ET = 6 cm

(i) Draw a rough sketch first as per the given dimensions. Construction:
Step 1: Draw a line segment AB = 4.5 cm

Step 2: Draw an arc with center as B and of radius 5.5 cm.

Step 3: Similarly, draw another arc with center as A and radius 7 cm to meet the previous arc at C.

Step 4: Now taking radius 4 cm, draw an arc with centre C and also draw another arc with center A and radius 6 cm to cut the former arc at D.

Step 5: Join BC, AC, CD and AD.

Hence, we have got the required figure as per the given data.

(ii) Draw a rough sketch first as per the given dimensions. Construction:
Step 1: Draw a line segment JU = 3.5 cm.

Step 2: Draw an arc with centre at J and radius 4.5 cm.

Step 3: Draw another arc with centre at U and radius 6.5 cm to meet the previous arc at P and join JP and UP.

Step 4: Now with radius 4 cm, draw an arc with centre at U.

Step 5: Draw another arc with centre P and radius 5 cm to meet the previous arc at M. Step 6: Join UM and PM.

Hence we have, JUMP as the required quadrilateral.
(iii) Draw a rough sketch first as per the given dimensions and we know that opposite sides of a parallelogram are equal. Construction:
Step 1: Draw a line segment OR = 6 cm.
Step 2: Draw an arc with centre at R and of radius 4.5 cm.

Step 3: Draw another arc with centre at O and radius 7.5 cm to meet the previous arc at E and join RE and OE.

Step 4: Draw an arc with centre at E and radius 6 cm.

Step 5: Draw another arc with centre at O and radius 4.5 cm to meet the former arc at M. Step 6: Join EM and OM.

Hence we have, MORE as the required parallelogram with given dimensions.

(iv) Draw a rough sketch first as per the given dimensions and we know that all sides of a rhombus are equal. Construction:

Step 1: Draw BE = 4.5 cm

Step 2: Draw an arc with centre B and radius 4.5 cm.

Step 3: Draw another arc with centre E and radius 6 cm to meet the previous arc at T and join BT and ET.

Step 4: Draw two arcs with centres E and T with equal radii 4.5 cm to meet each other at S and join ES and TS, and join ES and TS.

Hence we have, BEST as the required rhombus with given dimensions.