**Exercise 17.1**

**Question 1: Draw a line segment of length 8.6 cm. Bisect it and measure the length of each part.**

**Solution:**

**Question 2: Draw a line segment AB of length 5.8cm. Draw the perpendicular bisector of this line segment.**

**Solution:**

**Question 3: Draw a circle with centre at point O and radius 5cm. Draw its chord AB, the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?**

**Solution:**

**Question 4: Draw a circle with centre at point O. Draw its two chords AB and CD such that AB is not parallel to CD. Draw the perpendicular bisectors of AB and CD. At what point do they intersect?**

**Solution:**

**Question 5: Draw a line segment of length 10 cm and bisect it. Further, bisect one of the equal parts and measure its length.**

**Solution:**

**Question 6: Draw a line segment AB bisect it. Bisect one of the equal parts to obtain a line segment of length (1/4) (AB).**

**Solution:**

**Question 7: Draw a line segment AB and by ruler and compasses, obtain a line segment of length (3/4)(AB).**

**Solution:**

**Exercise 17.2**

**Question 1: Draw an angle and label it as ∠BAC. Construct another angle, equal to ∠BAC.**

**Solution:**

**Question 2: Draw an obtuse angle. Bisect it. Measure each of the angles so formed.**

**Solution:**

**Question 3: Using your protractor, draw an angle of 108°. With this given angle as given, draw an angle of 54°.**

**Solution:**

**Question 4: Using the protractor, draw a right angle. Bisect it to get an angle of measure 45°.**

**Solution:**

**Question 5: Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.**

**Solution:**

**Question 6: Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.**

**Solution:**

**Question 7: Using rulers and compasses only, draw a right angle.**

**Solution:**

**Question 8: Using rulers and compasses only, draw an angle of measure 135°.**

**Solution:**

**Question 9: Using a protractor, draw an angle of measure 72°. With this angle as given draw angles of measure 36° and 54°.**

**Solution:**

**Question 10: Construct the following angles at the initial point of a given ray and justify the construction:**

**(i) 45°**

**(ii) 90°**

**Solution:**

**Question 11: Construct the angles of the following measurements:**

**(i) 30°**

**(ii) 75°**

**(iii) 105°**

**(iv) 135°**

**(v) 15°**

**(vi) 22 1/2°**

**Solution:**

**Exercise 17.3**

**Question 1: Construct a △ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.**

**Solution:**

**Question 2: Construct a △ABC in which AB + AC = 5.6 cm, BC = 4.5 cm and ∠B=45°.**

**Solution:**

**Question 3: Construct a △ABC in which BC = 3.4 cm, AB – AC = 1.5 cm and ∠B = 45°.**

**Solution:**

**Question 4: Using rulers and compasses only, construct a △ABC, given base BC = 7 cm, ∠ABC = 60° and AB + AC = 12 cm.**

**Solution:**

**Question 5: Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° & 45°.**

**Solution:**

**Question 6: Using rulers and compasses only, construct a △ABC from the following data: AB + BC + CA = 12 cm, ∠B = 45° and ∠C = 60°**

**Solution:**

**Question 7: Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.**

**Solution:**

**Question 8: Construct a triangle ABC such that BC = 6 cm, AB = 6 cm and median AD = 4 cm.**

**Solution:**

**Question 9: Construct a right-angled triangle ABC whose base BC is 6 cm and the sum of the hypotenuse AC and other side AB is 10 cm.**

**Solution:**

**Question: 10 Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.**

**Solution:**