Chapter 11. Constructions

EXERCISE 11.1

1. Construct an angles of 90° at the initial point of a given ray and justify the construction .

Solution:

2. Construct an angles of 45° at the initial point of a given ray and justify the construction .

Solution:

3. Construction the angles of the following measurements :

     (i) 30°           (ii)       (iii) 15°

Solution: (i) 30°

(ii) 

(iii) 15°

4. Construction the following angles and verify by measuring them by a protractor :

   (i) 75°                    (ii) 105°                  (iii) 135°

Solution: (i) 75°

(ii) 105°

(iii) 135°

5. Construction an equilateral triangle , given its side and justify the construction .

Solution:

EXERCISE 11.2

1. Construct a triangle ABC in which BC = 7cm,  and AB + AC = 13 cm .

Solution:

2. Construct a triangle ABC in which BC = 8cm,  and AB – AC = 3.5 cm .

Solution:

3. Construct a triangle PQR in which QR = 6cm,  and PR – PQ = 2cm .

Solution:

4. Construct a triangle XYZ in which ∠Y = 30°,  and XY + YZ + ZX = 11 cm .

Solution:

5. Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm .

Solution: