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RD Sharma Class 6 Solutions Chapter 15 - Pair of Lines and Transversal (Ex 15.1) Exercise 15.1

Last updated date: 17th Sep 2024
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RD Sharma Class 6 Solutions Chapter 15 - Pair of Lines and Transversal Exercise 15.1 - Free PDF

Free PDF download of RD Sharma Class 6 Solutions Chapter 15 –- Pair of Lines and Transversal Exercise 15.1 solved by Expert Mathematics Teachers on Vedantu. All Chapter 15 - Pair of Lines and Transversal Ex 15.1 Questions with Solutions for RD Sharma Class 6 Maths help you to revise the complete Syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Introduction of Pair of Lines and Transversal Exercise 15.1

In a plane, two lines can be non-parallel, coplanar, and intersecting or non-intersecting. A line that intersects two other lines is called a transversal. The three points of intersection are the vertices of the triangle formed by the three lines which are called the lines of the transversal and the three segments joining the intersection points are called transversal line segments.

In this chapter, we will discuss some properties of a pair of lines and a transversal.

Properties of a pair of lines and a transversal:

Consider three line segments that are intersected by a transversal in standard position.

The following are some important properties of a pair of lines and a transversal:

1. The product of the slopes of two lines is -1 if the lines are perpendicular and 1 if the lines are parallel.

2. If two intersecting lines are cut by a transversal, then each pair of alternate interior angles formed are supplementary, i.e., the sum of their measures to 180°.

3. If two parallel lines are cut by a transversal, then three pairs of alternate interior angles formed are equal in measure and the fourth pair of interior angles is supplementary.

4. If a transversal intersects two parallel lines, then each pair of alternate interior angles is supplementary.

5. If two lines are cut by a transversal such that one line lies between the other two, then the corresponding angles at the point of intersection are congruent.

6. If two lines are cut by a transversal such that one line is parallel to the other, then the corresponding angles at the point of intersection are supplementary.

The solution of RD Sharma Class 6 Solutions Chapter 15 - Pair of Lines and Transversal is available on the website of Vedantu. Students can download the pdf and can use it as a reference for solving problems.

FAQs on RD Sharma Class 6 Solutions Chapter 15 - Pair of Lines and Transversal (Ex 15.1) Exercise 15.1

1. What is a transversal?

A transversal is a line that intersects two or more other lines which are not parallel. with the help of RD Sharma’s book, students can learn more about this chapter, as there are many things to be learnt from here. In this chapter, students learn about how to find the angles in a pair of lines and how to solve exercises on transversal which is given at the end of this chapter. Transversal is a very important chapter and is one of the most scoring chapters in maths.

2. What is the difference between a pair of lines and a transversal?

The main difference between a pair of lines and a transversal is that a pair of lines are two straight lines that are never intersecting, while a transversal is a line that intersects two or more other lines which are not parallel. The student should learn this chapter properly so that they can get good marks in exams if students practice this chapter with RD Sharma book, then they can score more marks and get more knowledge about this chapter and its topics.

3. What are the types of angles formed by a transversal and a pair of lines?

There are three types of angles formed by a transversal and a pair of lines: acute angle, right angle, an obtuse angle. These angles can be identified through their measure which is measured in degrees. the measure of an acute angle is between 0 and 90 degrees, the measure of a right angle is 90 degrees, and the measure of an obtuse angle is greater than 90 degrees but less than 180 degrees. RD Sharma’s book helps students to learn about these angles in detail with examples and figures which makes it easy for students to understand and then they can score good marks in exams.

4. What is the name of the angles formed by a transversal and two parallel lines?

The name of the angles formed by a transversal and two parallel lines is undefined. Students who want to get more knowledge on this chapter should refer to the RD Sharma book students must study various topics given in this chapter so that they can score good marks in exams. Vedantu helps students learn everything in detail with solved examples which make understanding easy and help students score good marks. Vedantu is a platform that provides the best education to students. Teachers of the Vedantu platform clear all the doubts of students so that students have no doubts regarding this chapter, they will score good marks in their examination.

5. What is the sum of the measures of the angles in a triangle?

The sum of the measures of the angles in a triangle is 180 degrees. This is a basic concept that students should know and understand. RD Sharma's book helps students learn this concept in detail with examples which makes it easy for students to understand. Once students are able to understand this concept, they can easily solve questions on this topic and score good marks in exams. RD Sharma’s book helps the student learn everything in detail with solved examples which make understanding easy and help students score good marks. Vedantu is a platform that provides the best education to students so that students score amazing marks in the examination.