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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.
 

(iii) In the given figure, 'l' is a transversal line to 'm' and 'n'.
     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.
      Exterior angles on the same side of the transversal line 'n' are: ∠c and ∠g, ∠​b and ∠​h.    



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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