question_answer 1)

                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

Answer:

                (i) Steps of Construction 1. Draw AB = 4.5 cm 2. With A as centre and radius AC = 7 cm, draw an arc. 3. With B as centre and radius BC = 5.5 cm, draw another arc to intersect the arc of step (2) at C. 4. With A as centre and radius AD = 6 cm, draw an arc on the side of AC, opposite to that of B. 5. With C as centre and radius CD = 4 cm, draw another arc to intersect the arc of step (4) at D. 6. Join BC, CD, DA and AC. Then, ABCD is the required quadrilateral. (ii) Steps of Construction 1. Draw JU = 3.5 cm 2. With J as centre and radius JP = 4.5 cm, draw an arc. 3. With U as centre and radius UP = 6.5 cm, draw another arc to intersect the arc of step 2 at P. 4. With U as centre and radius UM = 4 cm, draw an arc on the side of PU opposite to that of J. 5. With P as centre and radius PM = 5 cm, draw another arc to intersect the arc of step 4 at M. 6. Join UM, MP, PJ and UP. Then, JUMP is the required quadrilateral. (iii) Steps of Construction 1. Draw MO = 4.5 cm 2. With M as centre and radius ME = 6 cm, draw an arc. 3. With O as centre and radius OE = 7.5 cm, draw an arc to intersect the arc of step 2 at E. 4. With O as centre and radius OR = 6 cm, draw an arc on the side of OE opposite to that of M. 5. With E as centre and radius ER = 4.5 cm, draw another arc to intersect the arc of step 4 at R. 6. Join OR, RE, EM and EO. Then, MORE is the required parallelogram. (iv) Steps of Construction 1. Draw BE = 4.5 cm 2. With B as centre and radius BT = 4.5 cm, draw an arc.                 3. With E as centre and radius ET = 6 cm, draw another arc to intersect the arc of step 2 at T. 4. With E as centre and radius ES = 4.5 cm, draw an arc on the side of ET opposite to that of B. 5. With T as centre and radius TS = 4.5 cm, draw another arc to intersect the arc of step 4 at S.              6. Join ES, ST, TB and TE.         Then, BEST is the required rhombus.