## RS Aggarwal Class 6 Math Twelfth Chapter Parallel Lines Exercise 12 Solution

## EXERCISE 12

**PARALLEL LINES:** *Two lines in a plane which do not meet even when produced indefinitely in either direction, are known as parallel lines.*

**Why railway lines are made parallel?**

*Ans: The wheels of a railway engine and those of the bogies are attached by axles of a fixed length. So, the distance between each pair of opposite wheels remains fixed.*

*Therefore, the rails on which these wheels roll, must be at a constant distance from each other.*

*Hence, the opposite rails must be parallel.*

**How to test whether given lines are parallel?**

*Ans: Place the ruler so that one of its, measuring edges lies along the line AB. Hold it firmly with one hand. Now place a set square with one arm of the right angle coinciding with the edge of the ruler. Draw the line segments PQ along the edge of the set square as shown in the figure.*

**(1) In the figure of a table given below, name the pairs of parallel edges of the top.**

Ans: (AB, DC), (AD, BC)

**(2) Name the groups of all possible parallel edges of the box whose figure is shown below.**

**(3) Identify parallel line segments in each of the figures given below:**

**(4) Find the distance between the parallel lines l and m, using a set square.**

**(6) In the figure, do the segments AB and CD intersect? Are they parallel? Give reasons for your answer.**

Ans: No, the segments AB and CD are not intersect.

No, they are not parallel.

Reason: Corresponding lines will intersect when produced in one direction.

**(8) Which of the following statements are true and which are false?**

(i) Two lines are parallel if they do not meet even when produced. = True

(ii) Two parallels lines are everywhere the same distance apart. =True

(iii) If two line segments do not intersect, they are parallel. =False

(iv) If two rays do not intersect, they are parallel. = False