Rd Sharma 2018 Solutions for Class 6 Math Chapter 1 Knowing Our Numbers are provided here with simple step-by-step explanations. These solutions for Knowing Our Numbers are extremely popular among Class 6 students for Math Knowing Our Numbers Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rd Sharma 2018 Book of Class 6 Math Chapter 1 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rd Sharma 2018 Solutions. All Rd Sharma 2018 Solutions for class Class 6 Math 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 ∠*PQ*E 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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