Page 247 - Start Up Mathematics_8 (Non CCE)

Steps of Construction: X Y

1. Draw a line EA = 6 cm.

E 6 cm A

2. At point E on line EA, draw –AEX = 85º 85º 95º
and at point A on line EA, draw –EAY = 95º E 6 cm A
using a protractor.

X Y
R

3. Taking A as centre and radius = 5 cm, cut an 5 cm
arc intersecting AY at point R.
85º 95º
E 6 cm A

X
Y

H R

4. At point R on line AR, draw –ARH = 85º using
a protractor intersecting EX at point H. Join RH. 5 cm 5 cm

85º 95º
Hence, HEAR is the required parallelogram.
E 6 cm A

EXERCISE 15.5

1. Construct a quadrilateral MIKE in which MI = 5 cm, IK = 4 cm, ∠M = 80º, ∠I = 85° and ∠K = 125º.
2. Construct a quadrilateral WEST in which WE = 5 cm, ES = 3.2 cm, ∠W = 55º, ∠E = 100º and ∠T = 90º.
3. Construct a parallelogram DARK in which DA = 4.5 cm, AR = 5.5 cm and ∠A = 100º.
4. Construct a parallelogram BLOW in which BL = 6 cm, LO = 7 cm and ∠B = 65º.
5. Construct a quadrilateral BUNK in which BU = 4 cm, UN = 7 cm, ∠B = 110º, ∠N = 110º and ∠K = 80º.
6. Construct a quadrilateral TURN in which UR = 4.7 cm, RN = 5.8 cm, ∠T = 60º, ∠U = 100º and
∠R = 70º.
7. Is it possible to construct a quadrilateral MASK with MA = 5.1 cm, AS = 7.4 cm, ∠M = 80º,
∠A = 140° and ∠S = 145º? Give reasons for your answer.

E 6.4 cm B
Some Special Quadrilaterals
90º 90º
Example 11: Construct a square CUBE in which CU = 6.4 cm. 6.4 cm 6.4 cm
Solution: Construction: Draw a rough sketch of the figure to be constructed. 90º 90º
Note: In a square, all sides are equal and all angles are equal to 90º. C 6.4 cm U

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