RD Sharma 2020 2021 Solutions for Class 6 Maths Chapter 15 Pair Of Lines And Transversal are provided here with simple step-by-step explanations. These solutions for Pair Of Lines And Transversal are extremely popular among class 6 students for Maths Pair Of Lines And Transversal Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RD Sharma 2020 2021 Book of class 6 Maths Chapter 15 are provided here for you for free. You will also love the ad-free experience on Meritnation’s RD Sharma 2020 2021 Solutions. All RD Sharma 2020 2021 Solutions for class 6 Maths are prepared by experts and are 100% accurate.
Page No 15.2:
Question 1:
Identify parallel line segments shown in Fig. 15.6
Answer:
(i) BC ∥ DE
(ii) AB ∥ DC and AD ∥ BC
(iii) AB ∥ DC and AD ∥ BC
(iv) PQ ∥ TS, UT ∥ QR and UP ∥ SR
(v) AB ∥ DC ∥ EF, AD ∥ BC and DE ∥ CF
(vi) BC ​∥ EF, AB ​∥ DF and AC ​∥ DE
Page No 15.2:
Question 2:
Name the pairs of all possible paralles edges of the pencil box whose figure is shown in Fig. 15.7
Answer:
AH ​∥ DG ​∥ CF ∥ BE, ​ AB ​∥ DC ​∥ GF ∥ HE, and ​AD ​∥ HG ​∥ EF​∥ BC
Page No 15.3:
Question 3:
In Fig. 15.8, do the segments AB and CD intersect? Are they parallel? Give reasons.
Answer:
In the given position, segments AB and CD don't intersect, but they can if extended to a point.
No, they are not parallel, as the distance between them is not constant.
Page No 15.3:
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 interest, then they much be parallel.
(ii) Distance between two parallel lines is not same every where.
(iii) If m ⊥ i, n ⊥ i and m ≠ n, then m ∥ n.
(iv) Two non-intersection coplanar rays are parallel.
(v) If ray AB ∥ line , then line segment AB ∥ m.
(vi) If line AB ∥ line , then line segment AB ∥ m.
(vii) No two parallel 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.
Answer:
(i) T ( It is true for only two co-planar lines)
(ii) F
(iii) T
(iv) F ( Two coplanar rays may neither be parallel nor intersecting)
(v) T ( Line segment is part of a line or a ray)
(vi) T ( Line segment is part of a line or a ray)
(vii) T
(viii) F
(ix) T
(x) T
Page No 15.6:
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 of ∠d and ∠g and angles corresponding to angles ∠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 (iii).
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii).
Answer:
(i) Alternate Interior angles are: ∠BGH and ∠CHG, ∠ AGH and ∠DHG
​ Alternate Exterior angles are: ∠AGE and ∠DHF, ∠ EGB and ∠CHF
Corresponding angles are: ​∠EGB and ​∠GHD, ​∠EGA and ​∠GHC, ​∠BGH and ​∠DHF, ​∠AGH and ​∠CHF
(ii) The alternate angle to ∠d is ∠​e and alternate angle to ∠g is ∠​b.
The corresponding angles to ∠​f is ∠​c and ∠h is∠​a.
So, the alternate angle of ∠​ PQR is ∠ QRA.
The corresponding angle of ∠​ RQF is ∠BRA.
The alternate angle of ∠​PQE is∠BRA.
(iv) Interior angles on the same side of the transversal line 'n' are: ∠d and ∠ f, ∠a and ∠e.
Page No 15.7:
Question 2:
Match column A and column B with the help of the Fig. 15. 18:
| Column A | Column B | ||
| i | Vertically opposite angles | a | ∠PAB and ∠ABS |
| ii | Alternate angles | b | ∠PAB and ∠RBY |
| iii | Corresponding angles | c | ∠PAB and ∠XAQ |
Answer:
(i) c
(ii) a
(iii) b
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