**Exercise 15.1**

** **

**Question 1: Identify parallel line segments shown in Fig. 15.6.**

**Solution 1:**

**Question 2:**

**Name the pairs of all possible parallel edges of the pencil box whose figure is shown in Fig. 15.7.**

**Solution 2:**The parallel edges of the pencil box are:-

**Question 3:**

**In Fig. 15.8, do the segments AB and CD intersect? Are they parallel? Give reasons.**

**Solution 3:**No, AB and CD line not intersect. But if we increase line CD from point C than it can intersect line AB. AB and CD are not parallel lines because the distance between them is not same.

**Question 4:**

**State which of the following statements are true (T) or which are false (F):**

**(i) If two lines in the same plane do not intersect, then they must be parallel.**

**(ii) Distance between two parallel lines is not same everywhere.**

**(iii) If m ⊥ l, n ⊥ l and m ≠ n, then m || n.**

**(iv) Two non-intersecting coplanar rays are parallel.**

**(v) If ray AB || line m, then line segment AB.**

**(vi) If line AB || line m, then line segment AB || m.**

**(vii) No two parallel line segments intersect.**

**(viii) Every pair of lines is a pair of coplanar lines.**

**(ix) Two lines perpendicular to the same line are parallel.**

**(x) A line perpendicular to one of two parallel lines is perpendicular to the other.**

**Solution 4:**

**True**

**False**

**True**

**False**

**True**

**True**

**True**

**False**

**True**

**True**

**Exercise 15.2**

**Question 1: In Fig. 15.17, line n is a transversal to lines l and m. Identify the following:**

**(i) Alternate and corresponding angles in Fig. 15.17 (i).**

**(ii) Angles alternate to ∠d and ∠g and angles corresponding to ∠f and ∠h in Fig. 15.17 (ii).**

**(iii) Angle alternative to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 15.17.**

**(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii).**

**Solution 1:**

**(i) The Alternate and corresponding angles according to given figure are below:-**

**(ii) The Alternate and corresponding angles according to given figure are below:-**

**(iii) The Alternate and corresponding angles according to l is transversal to m and n:-**

**(iv) The Interior and Exterior angles according to given figure are below:-**

**Question 2: Match column A and column B with the help of the Fig. 15.18:**

**Solution 2:**