Lines And Angles Questions and Answers - Free PDF Download
Chapter 2, Lines and Angles, is all about the basics of geometry. Students will learn about fundamental geometric concepts such as points, lines, line segments, rays, and angles. They will discover how to identify these elements, understand their properties, and see how they form the building blocks of more complex shapes. These solutions match the CBSE Class 6 Maths Syllabus, offering clear explanations and step-by-step help to grasp basic concepts and build a solid foundation in recognising patterns.
Table of Content
You can download these NCERT Solutions for Class 6 Maths as a FREE PDF, making it simple for students to improve their problem-solving skills and get ready for exams. The solutions include useful tips and shortcuts, making studying more interesting and effective.
Glance on NCERT Solutions Maths Chapter 2 Exercise 2.4 Class 6 | Vedantu
Exercise 2.4 in Class 6 Maths Chapter Lines and Angles introduces you to basic geometric concepts like points, lines, line segments, rays, and angles.
Students learn how to identify and name these figures, understand the differences between them, and see how angles are formed when lines meet.
This exercise helps you build a strong foundation in geometry by working through problems that involve drawing and recognising these basic elements.
Exercise 2.4
1.
Can you help Rihan and Sheetal find their answers?
Ans:
It is possible to draw an infinite number of lines through a point in a plane.
It is possible to draw a single line that crosses two points.
2. Name the line segments in Fig. 2.4. Which of the five marked points are on exactly one of the line segments? Which are on two of the line segments?
Ans:
Segments of lines: LM, MP, PQ, and QR
Only one line segment contains the points L and R. M, P, and Q are on two segments of a line.
3. Name the rays shown in Fig. 2.5. Is T the starting point of each of these rays?
Ans:
Ray $\vec{TB}$ and Ray $\vec{TA}$ (also known as Ray $\vec{TN}$). Indeed, T is the origin of both rays: $\vec{TB}$ and $\vec{TA}$.
4. Draw a rough figure and write labels appropriately to illustrate each of the following:
a. $\overleftrightarrow{OP}$ and $\overleftrightarrow{OQ}$ meet at O.
b. $\overleftrightarrow{XY}$ and $\overleftrightarrow{PQ}$ intersect at point M.
c. Line I contains points E and F but not point D.
d. Point P lies on AB.
Ans:
a.
b.
c.
d.
5. In Fig. 2.6, name:
a. Five points
b. A line
c. Four rays
d. Five line segments
Ans:
Points B, C, D, E and O.
Line: DB
Rays: $\vec{OB}$, $\vec{OC}$, $\vec{OD}$, $\vec{OE}$.
Line segments: DE, EO, OB, DC, DO.
6. Here is a ray $\vec{OA}$ (Fig. 2.7). It starts at O and passes through the point A. It also passes through the point B.
a. Can you also name it as $\vec{OB}$? Why?
b. Can we write $\vec{OA}$ as $\vec{AO}$? Why or why not?
Ans:
(a) Since the starting point and direction stay the same, Ray $\vec{OA}$ can alternatively be referred to as Ray $\vec{OB}$
(b) Ray $\vec{OA}$ cannot be designated as ray $\vec{AO}$ since the ray's starting point is O rather than A.
Benefits of NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.4 Lines and Angles
The solutions explain basic geometry concepts like points, lines, rays, and angles in a simple and easy-to-understand manner.
Each problem is solved with detailed steps, making it easier for students to follow and learn the methods.
By practising these exercises, students can strengthen their ability to identify and solve geometry-related questions.
The solutions cover all topics in the NCERT textbook, helping students revise efficiently for their exams.
This chapter lays the groundwork for more advanced geometry concepts in higher classes, and these solutions help students grasp the basics well.
Class 6 Maths Chapter 2: Exercises Breakdown
Important Study Material Links for Class 6 Maths Chapter 2 - Lines and Angles
Conclusion
NCERT Solutions for Class 6 Maths Chapter 2 Exercise 2.4 on Lines and Angles provides students with a clear understanding of basic geometric concepts. By practising these step-by-step solutions, students can strengthen their problem-solving skills and prepare effectively for exams. The solutions not only help in grasping fundamental concepts like lines, rays, and angles but also build a strong foundation for future geometry topics.
Chapter-wise NCERT Solutions Class 6 Maths
The chapter-wise NCERT Solutions for Class 6 Maths are given below. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Related Important Links for Class 6 Maths
Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6.
FAQs on NCERT Solutions For Class 6 Maths Chapter 2 Lines And Angles Exercise 2.4 - 2025-26
1. What do Vedantu's NCERT Solutions for Class 6 Maths Chapter 2, Lines and Angles, provide for students?
Vedantu's NCERT Solutions for Class 6 Maths provide detailed, step-by-step explanations for every question in the Lines and Angles chapter. These solutions are crafted by subject experts in line with the CBSE 2025-26 curriculum, focusing on the correct methodology to help students understand concepts and solve problems accurately.
2. How should I correctly name an angle in my exam as per the NCERT method?
The solutions demonstrate that an angle must be named using three letters. The letter representing the vertex (the point where the two arms of the angle meet) must always be in the middle. For an angle with vertex B and arms BA and BC, the correct name is ∠ABC or ∠CBA. This precise naming is essential for scoring full marks.
3. How do the NCERT Solutions use diagrams to help solve problems on intersecting and parallel lines?
The solutions include clear and accurately labelled diagrams to help you visualise the problem. For instance, when solving a question about intersecting lines, the diagram will clearly mark the point of intersection. This visual aid simplifies complex problems and reinforces the theoretical concepts learned in the chapter.
4. What is the correct way to solve problems distinguishing between a line and a line segment?
The NCERT solutions emphasise the use of correct notation. A line, which extends infinitely in both directions, is denoted with arrows (e.g., ↔AB). A line segment has two fixed endpoints and is denoted by a bar over the letters (e.g., AB). The solutions apply this distinction to solve problems, ensuring you understand how to represent and use them correctly in your answers.
5. Why is it important to follow the step-by-step problem-solving method shown in these NCERT Solutions?
Following the step-by-step method is crucial because it builds a logical approach to problem-solving. In geometry, the process is as important as the final answer. This structured method, guided by CBSE norms, ensures you do not miss any critical steps, leading to a complete, accurate, and high-scoring answer while strengthening your foundational understanding.
6. How do the NCERT Solutions help identify the vertex and arms of an angle in a complex figure with many angles?
In complex figures, the solutions teach you to first isolate the specific angle the question asks for. They then guide you to identify the common point as the vertex and the two rays or line segments originating from it as the arms. This systematic approach prevents confusion and helps you accurately deconstruct and analyse complicated diagrams.
7. What is a common mistake students make when identifying the interior and exterior of an angle, and how do the solutions clarify this?
A common mistake is incorrectly classifying a point that lies exactly on the arms of the angle. The NCERT solutions prevent this by clearly defining the regions:
- The interior is the space between the arms.
- The exterior is the space outside the arms.
- The angle itself consists of the points on the arms. The step-by-step examples ensure you can correctly classify any given point.
8. Apart from finding correct answers, what other skills do I develop by practising with these solutions?
By consistently using these solutions, you are not just memorising answers but are developing crucial skills. You enhance your visualisation ability, logical reasoning, and attention to detail. Mastering the methods shown in the solutions builds a strong foundation in geometry, making it easier to tackle more advanced topics in higher classes like Class 7 and 8.
