Page 245 - Start Up Mathematics_8 (Non CCE)

Example 8: Construct a quadrilateral ROME in which RO = 4 cm, OM = 6 cm, ME = 5 cm, –O = 100º,
–M = 80º.
Solution: Construction: Draw a rough sketch of the figure to be constructed.

R E
Steps of Construction:

1. Draw a line OM = 6 cm. 4 cm 5 cm
100° 80°
O 6 cm M
O 6 cm M

X Y

2. At point O on line OM make –MOX = 100º
and at point M on line OM make –OMY =
80º using a protractor.

100º 80º

O 6 cm M

Y
X
3. Taking O as centre and radius = 4 cm, draw E
an arc on OX intersecting it at R. Taking M as R
centre and radius = 5 cm, draw an arc on MY
intersecting it at E. Join ER. 5 cm

4 cm

Hence, ROME is the required quadrilateral. 100º 80º
O 6 cm M

EXERCISE 15.4

1. Construct a quadrilateral FUSE in which FU = 5.2 cm, US = 4.6 cm, SE = 5.8 cm, ∠U = 30º and
∠S = 150º.
2. Construct a quadrilateral PINE in which PI = 3.5 cm, IN = 5.5 cm, NE = 5 cm, ∠I = 125º and
∠N = 80º.
3. Construct a quadrilateral PACE in which PA = 5.4 cm, AC = 5.7 cm, PE = 4.5 cm, ∠P = 120º and
∠A = 115º. What is the measure of the side CE?
4. Construct a quadrilateral MUST in which MU = 8 cm, US = 4 cm, ST = 6 cm, ∠U = 40º and
∠S = 85º.
5. Construct a quadrilateral DART in which AR = 5.6 cm, RT = 3.4 cm, DT = 4.6 cm, ∠R = 90º and
∠T = 105º.
6. Construct a rhombus MAST in which MA = 7.4 cm and ∠M = 75º.

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