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RD Sharma Class 6 Maths Solutions Chapter 15 - Pair of Lines and Transversal

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Last updated date: 23rd May 2024
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RD Sharma Solutions Class 6 Maths Chapter 15 - Pair of Lines and Transversal - Free PDF Download

RD Sharma Class 6 Maths Chapter 15 contains the concept of pair of lines along with transversal. The PDF provided here includes a set of examples in order to familiarise yourself with the concepts. The parallel lines are two lines that do not intersect each other when extended in both directions. The solutions are designed by faculty at Vedantu based on the latest CBSE guidelines. Students can download RD Sharma Solutions For Class 6 Maths Chapter 15, which is provided here, and refer them to score well in their exam.

This exercise consists of information about steps that have to go through in the construction of parallel lines and to find the distance among them. This chapter also helps the students to understand the other important concepts like the relationship between angles, transversals, and angles made by the transversals. Parallel lines are those lines that never intersect each other, do not have the same starting and ending point, and are always lined on the same plane. Students can refer to Vedantu for the solutions that are given by the subject matter expert for their better performance in exams. 

Concerning geometry, a transversal is any line that intersects two lines at distinct points. A transversal line is always used to link two parallel lines. The angles that are created at the intersection point of a transversal line and parallel lines are called consecutive interior angles. 

The pair of interior angles formed at the intersection of two parallel lines and a transversal are supplementary. Alternate internal angles are formed by intersecting two lines with a transversal line that forms angles on both sides of the transversal and the other two lines.

Congruent interior angles are created by the intersection of two parallel lines and a transversal.

Students can go through the free pdf available at the Vedantu official site as the solutions that are given by the faculty of Vedantu will surely help them to gain knowledge about the problem-solving techniques. These techniques will make them understand the congruency rules that have to be followed while examining congruence. Students will understand a bit better as Vedantu also avails videos related to their PDFs, so students can also watch videos that will help them to understand the topic easily. 

The congruency rules easily available at Vedantu with step-by-step solutions will make students understand every step that increases the thinking process to solve a question that they are not ready for.  

RD Sharma solution to class 6 chapter 15 - pair of lines and transversal pdf is also available at Vedantu’s official website students just have to register themselves on the site for free.

Class 6 RD Sharma Textbook Solutions Chapter 15 - Pair of Lines and Transversal

RD Sharma Class 6 Maths Chapter 15 PDF contains all the solved problems as per the latest syllabus of CBSE. In this chapter, the students will gain knowledge about steps followed in the construction of parallel lines and find the distance between them. It also helps students to understand other concepts like transversals, angles made by a transversal, and relations between angles formed by the transversal.

We have provided step-by-step solutions for all exercise questions given in the pdf of Class 6 RD Sharma Chapter 15 - Pair of Lines and Transversal. All the Exercise questions with solutions in Chapter 15 - Pair of Lines and Transversal are given below:


Given Below Are the Topics Discussed in This Chapter

  • Intersecting Lines

  • Transversal

  • Angles made by a Transversal

  • Transversal of Parallel Lines

When a transversal cuts two parallel lines, the following relations are obtained:

  1. Each pair of corresponding angles formed are equal.

  2. Each pair of alternate interior angles formed are equal.

  3. Each pair of interior angles formed on the same side of the transversal is supplementary.

  • Checking for Parallel Lines 

If two parallel lines are cut by the transversal, we get the following categories of angles:

  1. Corresponding Angles

  2. Alternate Interior Angles

  3. Alternate Exterior Angles

  4. Co-interior Angles

  5. Vertically Opposite Angle

  6. Complementary and Supplementary angles

 

Conclusion

RD Sharma Class 6 Pair of Lines and Transversal are provided here. The solutions provided are very simple with step-by-step explanations. These solutions for Pair Of Lines And Transversal are widely used among Class 6 students as this is a very important concept. It helps students to complete their homework and also prepare for exams. All questions and answers from the RD Sharma Class 6 Pair Of Lines And Transversal are provided in the Pdf for students to practice. Solutions are prepared by the master teacher which is very helpful at the end-term exam. All RD Sharma 2024-25 Solutions for Class 6 Maths are prepared by the expert team at Vedantu and are 100% accurate.

FAQs on RD Sharma Class 6 Maths Solutions Chapter 15 - Pair of Lines and Transversal

1. What are the different types of angles formed by lines cut by a transversal?

The different types of the angle formed by lines cut by a transversal:

  • Corresponding angles- It is the angles that are on the same corner at each intersection.

  • Alternate interior angles- The angles that are formed between the two parallel lines but on opposite sides of the transversal

  • Alternate exterior angles-It is the angles that are outside the parallel lines but on opposite sides of the transversal.

  • Vertically opposite angles - It is the angles opposite to each other when two lines cross.

2. Define transversal and give real-life examples of it.

A transversal is a line that crosses other lines. Real-life examples of the transversal are Zebra crossing on the road, Railway tracks with sleepers, Road and railway crossing.

3. What happens when two parallel lines are cut by the transversal line?

Following are the angle pair relationship formed when two parallel lines are cut by the transversal line:

  • Corresponding Angles are congruent

  • Alternate Exterior Angles are congruent

  • Alternate Interior Angles are congruent

  • Same Side of Interior Angles (Consecutive Interior Angles) sum to 180 degrees

4. From where students may get the RD Sharma solutions to class 6 chapter 15 - pair of lines and transversal?

Students simply need to register for free on Vedantu's official website to access RD Sharma's solution to class 6 chapter 15 - pair of lines and transversal pdf. Students may download and read step-by-step solutions that will surely help them to understand the concepts and perform better in their exams. Students must go through the free pdf available at the Vedantu official site as the solutions that are given by the faculty of Vedantu will surely help them to gain knowledge about the problem-solving techniques.

5. Explain the pair of lines and transversal and Parallel lines.

A transversal is any line that intersects two lines at distinct points. Two parallel lines are always connected by a transversal line. Parallel lines are ones that never cross, have different starting and ending points, and are always on the same plane. The pair of interior angles formed at each intersection of two parallel lines and a transversal are supplementary.

6. What are alternate interior angles and are they congruent?

The intersection point of two lines by a transversal line that creates angles on either side of the transversal and the other two lines are known as alternate interior angles. The alternate interior angles formed by the intersection of two parallel lines and a transversal are congruent.