CBSE Class 6  >  Class 6 Notes  >  Mathematics  >  Worksheet Solutions: Lines and Angles

Lines And Angles Worksheet Solutions - Class 6 Mathematics | Answers PDF

Draw and Label

Q1: Draw a right angle and label it as ∠ABC.

Ans:

Draw and Label

Q2: Draw an acute angle and label it as ∠XYZ.

Ans: 

Draw and Label

Q3: Draw a straight angle and label it as ∠PQR.

Ans: 

Draw and Label

Fill in the Blanks

Q1: A line segment has ________ endpoints.

Ans: two

Q2: An angle of exactly 90° is called a ________ angle.

Ans: right

Q3: A ray starts at one point and extends ________ in one direction.

Ans: infinitely

Q4: A protractor is used to ________ angles in degrees.

Ans: measure

Q5: An angle that is greater than 90° but less than 180° is called an ________ angle.

Ans: obtuse

True or False

Q1: A line segment has no endpoints.

Ans: False
Explanation: A line segment has two endpoints, so the statement is incorrect.

Q2: A straight angle is exactly 180°.

Ans: True
Explanation: By definition, a straight angle measures 180°.

Q3: An angle bisector divides an angle into three equal parts.

Ans: False
Explanation: An angle bisector divides an angle into two equal parts, not three.

Q4: A reflex angle is greater than 180° but less than 360°.

Ans: True
Explanation: A reflex angle measures more than 180° and less than 360°, so the statement is correct.

Q5: A ray has two endpoints.

Ans: False
Explanation: A ray has one endpoint and extends infinitely in one direction, so it does not have two endpoints.

Identify the Image

Identify the Image

Q1: Identify which of the following is a ray.

Ans: C
Explanation: Figure C shows a point with an arrow at one end indicating it starts at one point and continues infinitely in one direction, so it is a ray.

Q2: Identify which of the following is a line segment.

Ans: B
Explanation: Figure B has two clear endpoints and does not extend beyond them, so it is a line segment.

Q3: Identify which of the following is a line.

Ans: A
Explanation: Figure A has arrows at both ends indicating it extends infinitely in both directions, so it is a line.

Figure it Out

Q1. Draw angles with the following degree measures:

a. 60°

b. 45°

c. 180°

Ans:

a. 

Figure it Out

b. 

Figure it Out

c. 

Figure it Out

Q2: Identify the type of angles given below: 

Figure it Out

Ans:

a. Right Angle

b. Acute Angle

c. Obtuse Angle

The document Worksheet Solutions: Lines and Angles is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on Worksheet Solutions: Lines and Angles

1. What are the different types of lines in geometry?
Ans. In geometry, the different types of lines include straight lines, curved lines, parallel lines, perpendicular lines, and intersecting lines. Straight lines extend infinitely in both directions, while curved lines change direction. Parallel lines never meet, perpendicular lines intersect at a right angle, and intersecting lines cross at one point.
2. How do you identify acute, obtuse, and right angles?
Ans. Acute angles are angles that measure less than 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and right angles measure exactly 90 degrees. You can use a protractor to measure these angles accurately.
3. What is the importance of understanding lines and angles in real life?
Ans. Understanding lines and angles is essential in various real-life applications, such as architecture, engineering, and design. It helps in creating structures, ensuring stability, and understanding the relationship between different elements in a space.
4. Can angles be measured in different units, and what are they?
Ans. Yes, angles can be measured in different units, primarily degrees and radians. Degrees are more commonly used in everyday situations, while radians are often used in advanced mathematics and physics.
5. How can I practice identifying and drawing lines and angles?
Ans. You can practice identifying and drawing lines and angles by using geometry worksheets, online interactive geometry tools, or by drawing them on paper with a ruler and protractor. Engaging in hands-on activities and real-world applications will also enhance your understanding.
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