R d sharma mathematics solutions class 6 Solutions for Chapter 14 pair of lines and transversal

Identify parallel line segments shown in Fig.

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

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

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.

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).

Match column A and column B with the help of the Fig. 15.18: Column A Column B

(i) Vertically opposite angles (i) ∠PAB and ∠ABS

(ii) Alternate angles (ii) ∠PAB and ∠RBY

(iii) Corresponding angles (iii) ∠PAB and ∠XAQ