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.

All you need of Class 6 at this link: Class 6

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

**i)**

**ii)**

**iii)**

**iv)**

**v)**

**vi)**

**Answer: **

- BC â•‘ DE
- AB â•‘ DC , AD â•‘ BC
- AB â•‘ DC , AD â•‘ BC
- PQ â•‘ TS , UT â•‘QR , UP â•‘ SR
- AB â•‘ DC â•‘ EF , AD â•‘ BC and DEâ•‘ CF
- BC â•‘ EF , AB â•‘ DF and AC â•‘ DE

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

**Answer:**

AHâ•‘DGâ•‘CFâ•‘BE

ABâ•‘DC?GFâ•‘HE

ADâ•‘HGâ•‘EFâ•‘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 âˆ d and âˆ g and angles corresponding to angles âˆ f and âˆ h in the figure**

**Answer:**

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

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

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

**In the given figure.** â€˜Iâ€™ is a transversal to â€˜mâ€™ and â€˜nâ€™

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

The corresponding angle **âˆ RQF** and **âˆ BRA**

The alternate angle of **âˆ PQE** is **âˆ BRA**

**iv) **Interior angles on the same side of the transversal line â€˜nâ€™ are âˆ d and âˆ f , âˆ a and âˆ e

Exterior angles on the same side of the transversal line â€˜nâ€™ are âˆ c and âˆ g , âˆ b and âˆ h

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

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

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

**iii)** Corresponding angles â€“ b - **âˆ PAB and âˆ RBY**