The document RD Sharma Solutions -Ex-15.1 & 15.2, Pair Of Lines And Transversal, Class 6, Maths Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.

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**Question 1. Identify parallel line segments:**

**i)**

**ii)**

**iii)**

**iv)**

**v)**

**vi)**

**Answer: **

- BC ║ DE
- AB ║ DC , AD ║ BC
- AB ║ DC , AD ║ BC
- PQ ║ TS , UT ║QR , UP ║ SR
- AB ║ DC ║ EF , AD ║ BC and DE║ CF
- BC ║ EF , AB ║ DF and AC ║ DE

**Question 2. Name the pairs of all possible parallel edges of the pencil box whose figure is shown in the figure**

**Answer:**

AH║DG║CF║BE

AB║DC?GF║HE

AD║HG║EF║BC

**Question 3. In the figure, do the segments AB and CD intersect ? are they parallel? Give reasons.**

**Answer:**

In the given position , segments AB and CD do not intersect , but hey can if extended to a point . No, they are not parallel, as the dstance between them is not constant.

**Question 4. State which of the following are true or false:**

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

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

**iii) If m perpendicular l and n perpendicular l and m ? n , then m parallel to n****Ans.** True

**iv) Two non Ans. intersecting co Ans.planar rays are parallel****Ans.** False

**iv) If Ray AB parallel to m , then line segment AB parallel to m****Ans. **True

**v) If Ray AB parallel to m , then line segment AB parallel to m****Ans.** True

**vi) No two parallel segments intersect each other****Ans.** True

**vii) Every pair of lines is a pair of co-planar lines****Ans**. False

**viii) Two lines perpendicular to the same line are parallel****Ans.** True

**ix) A line perpendicular to one of two parallel lines is perpendicular to each other****Ans. **True

**Exercise 15.2**

**Question 1. ****i) Alternate corresponding angles**

**Answer:****Alternate interior angles are:**

Angle BGH and angle CHG

Angle AGH and angle CHF

Alternate exterior angles:

Angle AGE and angle DHF

Angle EGB and angle CHF

Corresponding angles are:

Angle EGB and angle GHD

Angle EGA and angle GHC

Angle BGH and angle DHF

Angle AGF and angle CHF

**ii)** **Angles alternate to ∠d and ∠g and angles corresponding to angles ∠f and ∠h in the figure**

**Answer:**

The alternate angle to **∠d** is **∠e** and alternate angles to **∠g** is **∠b**

The corresponding angles to **∠f **is **∠c** and **∠h** is **∠a**

**iii) **Angles alternative to **∠PQR** , angle corresponding to **∠RQF **and angle alternative to ∠PQE in the figure

**In the given figure.** ‘I’ is a transversal to ‘m’ and ‘n’

So, the alternate angle of **∠PQR** is **∠QRA**

The corresponding angle **∠RQF** and **∠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

**Question 2. Match column A and column B .**

**i)** Vertically opposite angles - c - **∠PAB and ∠XAQ**

**ii)** Alternate angles - a - **∠PAB and ∠ABS**

**iii)** Corresponding angles – b - **∠PAB and ∠RBY**

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