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CBSE Class 12 Special BooksCBSE
CBSE Notes
Class 6
Maths
Chapter 2 Lines And Angles

CBSE Notes Class 6 Maths Chapter 2 Lines and Angles

In Chapter 2 of CBSE Class 6 Maths, we explore the concepts of Points, Line Segments, and Rays. A Line Segment is a part of a line with two endpoints, while a Ray has one fixed endpoint and extends infinitely in one direction. Angles are formed when two rays meet at a point. We study Types of Angles such as acute, right, obtuse, and reflex. The Degree is used to measure angles, and a Protractor is a tool used to measure angles accurately.

1.0Points

A point determines a precise location, but it has no height.

Ex: Point A, Point B, Point C, etc

Points

2.0Line Segments

It has two end points. It is denoted by either  . The points A and B are called the end points of the line segment AB.

Line Segment

3.0Line

It has no end points. It is denoted by AB.

Line

4.0Ray

A ray is a portion of a line that starts at one point (called the starting Point or initial point) and goes on endlessly in a direction.

Ray

It is denoted as AP.

5.0Angle

An angle is formed when 2 rays meet at a common endpoint called the vertex. Angles are measured in degrees (∘).

Parts of an Angle:

  1. Arms: The two rays that form the angle.
  2. Vertex: The common endpoint of the 2 rays.

For example, if two rays OA and OB meet at point O, the angle is represented as ∠AOB.

Angle

Types of Angles

Angles are classified based on their measurement:

  1. Acute Angle: An acute angle measures less than 90∘. These angles are small and sharp. It is always smaller than a right angle.
  • Example: 45∘,60∘.
  • Real-life Example: The hands of a clock at 10:10.
  1. Right Angle: A right angle is an angle that measures exactly 90∘. It forms a perfect "L" shape. It is the baseline for measuring other types of angles.
  • Example: The corner of a square or rectangle.
  • Real-life Example: The corner of a notebook, book, or a square, The edge of a table.
  1. Obtuse Angle: An obtuse angle measures more than 90∘ but less than 180∘. These angles are broad and open. This is the angle formed when two opposite rays meet at a point.
  • Example: 120∘,150∘.
  • Real-life Example: The angle of an open door when it’s slightly ajar.
  1. Straight Angle: A straight angle measures exactly 180∘. It looks like a straight line. It is equal to two right angles.
  • Example: A straight line.
  • Real-life Example: The angle formed by the hands of a clock at 6:00. A flat bridge or the horizon.
  1. Reflex Angle: A reflex angle measures more than 180∘ but less than 360∘. These angles are very large and wrap around a significant part of a circle.
  • Example: 270∘.
  • Real-life Example: The hands of a clock at 10:10 (taking the outer part of the angle).
  1. Complete Angle: A complete angle measures exactly 360∘. It represents one full rotation or revolution. It forms a perfect circle.
  • Example: A full circle.
  • Real-life Example: The wheels of a car rotating one full turn, A merry-go-round making one complete spin.

Types of Angles

6.0Degree and Protractor

Degree measures of angles can be measured using a protractor.

A protractor is a tool used to measure and draw angles. It is semi-circular or circular in shape and marked with degree measurements, ranging from 0∘ to 180∘ (in a semi-circular protractor) or 0∘ to 360∘ (in a circular protractor).

Parts of a Protractor:

  1. Baseline: The straight edge of the protractor used to align with one arm of the angle.
  2. Center or Origin: The midpoint at the base of the protractor, marked with a small hole or dot. This is where the vertex of the angle is placed.
  3. Degree Markings: The curved edge is marked with degrees from 0∘ to 180∘ (or 0∘ to 360∘ in a circular protractor).
  4. Inner and Outer Scales:
  • The inner scale is used to measure angles starting from the right (clockwise).
  • The outer scale is used to measure angles starting from the left (counter-clockwise).

Protractor

How to Use a Protractor to Measure an Angle

Step 1: Place the Protractor

  • Align the baseline of the protractor with one arm of the angle.
  • Place the centre of the protractor at the vertex of the angle.

Step 2: Read the Degree Markings

  • Locate the other arm of the angle on the protractor scale.
  • Check which degree marking it passes through. Use the correct scale (inner or outer) based on the angle's orientation.

Step 3: Note the Measurement

  • Record the degree where the arm crosses the protractor scale. This is the angle’s measure.

Protractor usage

Steps to Draw an Angle Using a Protractor:

Step 1: Draw a Baseline

  • Use a ruler to draw a straight line. This will act as one arm of the angle.

Step 2: Place the Protractor

  • Align the baseline of the protractor with the line you just drew, and place the centre at one end of the line.

Step 3: Mark the Angle

  • Locate the desired angle measure on the protractor scale and make a small dot at that degree.

Step 4: Draw the Second Arm

  • Take away the protractor and use a ruler to connect the dot with the vertex of the angle. This forms the second arm.

7.0Benefits of CBSE Notes for Class 6 Maths Chapter 2 - Lines and Angles

  • Focus on Key Points: CBSE Notes for Class 6 highlight the most crucial information and formulas, ensuring that students don't miss out on essential details.
  • Easy Accessibility: Digital notes can be accessed anytime and anywhere, making learning more convenient.
  • Self-Paced Learning: Students can refer to the CBSE Notes at their own pace, revisiting topics they find challenging.
  • Reduced Textbook Burden: Notes can act as a handy reference, reducing the need to constantly flip through the entire NCERT Solutions textbook.
  • Preparation for Higher Classes: A strong foundation in the concepts of lines and angles in CBSE Class 6 is crucial for understanding more advanced geometry in higher classes.

Chapter-wise CBSE Notes for Class 6 Maths:

Class 6 Maths Chapter 1 - Patterns In Mathematics Notes

Class 6 Maths Chapter 2 - Lines And Angles Notes

Class 6 Maths Chapter 3 - Number Play Notes

Class 6 Maths Chapter 4 - Data Handling And PresentationNotes

Class 6 Maths Chapter 5 - Prime Time Notes

Class 6 Maths Chapter 6 - Perimeter And Area Notes

Class 6 Maths Chapter 7 - Fractions Notes

Class 6 Maths Chapter 8 - Playing With Constructions Notes

Class 6 Maths Chapter 9 - Symmetry Notes

Class 6 Maths Chapter 10 - The Other Side Of Zero Notes


Chapter-wise NCERT Solutions for Class 6 Maths:

Chapter 1: Patterns in Mathematics

Chapter 2: Lines and Angles

Chapter 3: Number Play

Chapter 4: Data Handling and Presentation

Chapter 5: Prime Time

Chapter 6: Perimeter and Area

Chapter 7: Fractions

Chapter 8: Playing With Construction

Chapter 9: Symmetry

Chapter 10: The Other Side of Zero

Frequently Asked Questions

Line: A straight path extending in both directions without end. Line Segment: A part of a line with two fixed endpoints. Ray: A segment of a line that begins at a specific point and stretches endlessly in one direction.

An angle is formed when two rays meet at a common endpoint, called the vertex.

The sum of angles on a straight line is always 180 degrees

A protractor is a tool used to measure and draw angles.

Angles on a straight line add up to 180 degrees. Angles around a point add up to 360 degrees. Vertically opposite angles are equal.

Acute Angle: Less than 90 degrees. Right Angle: Exactly 90 degrees. Obtuse Angle: Greater than 90 degrees but less than 180 degrees. Straight Angle: Exactly 180 degrees.

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