Essential of Investment, Bodie, Kane, Marcus - Capital Asset Pricing and Arbitrage Pricing TheoryFull description
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Geometrical Constructions
1. Using a ruler and a pair of compasses only, construct a line segment, RS, of length 10.7 cm. 2. Using a pair of compasses and a ruler only, construct a scalene triangle, ABC, with AB = 6 cm, BC = 4 cm and CA = 5 cm. 3. Using a ruler and a pair of compasses only, construct a perpendicular bisector of VW. V
W
4. Using a ruler and a pair of compasses only, construct a line which is perpendicular to the straight line KL and passes through the given point, M. M
K
L
5. Using a ruler and a pair of compasses only, construct a line which is perpendicular to KL and passes through point M. L
6. Using a pair of compasses and a ruler only, construct a line which is perpendicular to the straight line KL and passes through point K. L
K
7. Using a ruler and a pair of compasses only, construct ∠PQR = 60°. P Q
8. Using a ruler and a pair of compasses only, construct a bisector for each of the following angles. (a) (b)
9. Using a ruler and a pair of compasses only, construct ∠PQR = 15°. P
Q
10. Using a ruler and a pair of compasses only, construct the following triangles. (a) Isosceles triangle PQR with PQ = 5 cm and ∠QPR = 120° (b) ∆PQR with QR = 3 cm, PQ = 4 cm and ∠PQR = 60° 11. Using a ruler and a pair of compasses only, construct a rhombus with side 4 cm and an obtuse angle 150°.
