# Constructions

**Exercise 1**

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

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

**3.** Construct the angles of the following measurements:

**4.** Construct the following angles and verify by measuring them by a protactor:

(i) 75° (ii) 105° (iii) 135°

**5.** Construct an equilateral triangle, given its side and justify the construction.\

**Exercise 2**

**6.** Construct a triangle ABC in which BC = 7 cm, ∠ B = 75° and AB + AC = 13 cm. 2.

**7.** Construct a triangle ABC in which BC = 8 cm, ∠ B = 45° and AB – AC = 3.5 cm. 3.

**8.** Construct a triangle PQR in which QR = 6 cm, ∠ Q = 60° and PR – PQ = 2 cm. 4.

**9. ** Construct a triangle XYZ in which ∠ Y = 30°, ∠ = 90° and XY + YZ + ZX = 11 cm.

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