Page 193 - ICSE Math 8

EXERCISE 17.2

1. Construct a quadrilateral RUBY in which RU = 5.5 cm, UB = 2.6 cm, BY = 4.2 cm, diagonal
RB = 6.8 cm and diagonal UY = 5.2 cm.
2. Construct a quadrilateral SWIM in which WI = 6.5 cm, SI = SM = 5 cm, IM = 4 cm and
WM = 9 cm. Measure the fourth side.
3. Construct a quadrilateral MORE in which ME = 4.5 cm, OR = 3.5 cm, RE = 5.1 cm, MR = 8.3 cm and
OE = 4.2 cm.
4. Is it possible to construct a quadrilateral MIST in which MI = 3.5 cm, ST = 3.5 cm, TM = 7.9 cm,
MS = 8.4 cm and IT = 4.5 cm? Give reasons for your answer.
E
Construction of a Quadrilateral Given 4 Sides and an Angle 2.8 cm
Example 3: Construct a quadrilateral MILE in which MI = 3 cm, IL = 3.3 cm, L
LE = 2.8 cm, EM = 3.5 cm and –M = 70º. 3.5 cm
Solution: Construction: Draw a rough sketch of the figure to be constructed. 3.3 cm
70º
Steps of Construction: M 3 cm I
Rough Sketch
1. Draw a line MI = 3 cm.

2. At point M on line MI, draw –IMX = 70º using a protractor. X

3. Taking M as centre and radius = 3.5 cm, cut an arc on MX E 2.8 cm L
intersecting it at E.

4. Taking E as centre and radius 2.8 cm, draw an arc to the right
of ME. 3.5 cm
5. Taking I as centre and radius 3.3 cm, draw an arc intersecting 3.3 cm
the arc in step 4 at L. Join LI and LE. 70º

Hence, MILE is the required quadrilateral. M 3 cm I

EXERCISE 17.3

1. Construct a quadrilateral PACK in which PA = 4 cm, AC = 3.6 cm, CK = 4.7 cm, PK = 5.2 cm and
∠A = 80º.
2. Construct a parallelogram WEAK in which WE = 6.5 cm, EA = 5 cm and ∠E = 110º.
3. Construct a kite TEAM in which TE = EA = 4.5 cm, TM = AM = 6.2 cm and ∠TEA = 120º.

Construction of a Quadrilateral Given 3 Sides and 2 Included Angles
Example 4: Construct a quadrilateral DEAR in which DE = 4 cm, A
EA = 5 cm, AR = 4.5 cm, –E = 60º and –A = 90º. 4.5 cm 90º
Solution: Construction: Draw a rough sketch of the figure to be 5 cm
constructed. R 60º
Steps of Construction: 4 cm E
1. Draw a line DE = 4 cm. D Rough sketch
2. At point E on line DE, make –DEX = 60º using a protractor.

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