NCERT Solutions for Class 6 Maths Chapter 14 – Practical Geometry

NCERT solutions for class 6 maths chapter 14 is available in PDF format on the Study Studio. You can download the PDF file for free. The NCERT Solutions Class 6 Maths chapter 14 has been prepared to help students with easy-to-understand explanations. Our subject experts have years of experience in teaching, and their experience is reflected in the solutions they prepared for class 6th practical geometry. If you have any doubts related to class 6 maths chapter 14, you can reach out to our experts. NCERT solutions for class 6 maths chapter 14 practical geometry will help in your exam preparation. Subjects like Science, Maths, English,Hindi will become easy to study if you have access to NCERT Solution for Class 6 Science, Maths solutions and solutions of other subjects.

Points to Remember before Solving Exercise Problems:

Tools used for construction

Ruler: It is used to draw line segments and measure their lengths. It is a scale on which the length measurements are marked.
Compass: It is an instrument used to mark lengths and to draw circles and arcs. It has a metal pointer on one end and a pencil holder on the other end.
Divider: A divider is an instrument having a pair of metal pointers on both ends which are used to compare lengths.
Set-Squares: Set-Squares are two triangular shaped geometry tools, of which one has 45°, 45°, 90°, and the other has 30°, 60°, 90° angles at the vertices. These are used to draw parallel and perpendicular edges.
Protractor: It is in a semicircular (D-shape) on which 0^o to 180° angles are marked. A protractor is used for drawing and measuring angles.

Circle: Circle is a round shape in which all the points on the boundary are at an equal distance from its centre point.
A Line Segment: A line segment has a fixed length that can be measured using a ruler. It is a sub-part of a line that has two endpoints.
Constructing a Copy of a Line Segment: To do this, we need to use a ruler or both compass and ruler.
Perpendicular Lines: If two lines intersect each other in such a way that they make a right angle (90^o) at the point of their intersection, then those lines are said to be perpendicular to each other.
Constructing Angles: To construct an angle of a given measure we may use a ruler and a protractor.
Constructing Angles of Special Measures: There are some other accurate methods to construct some specific angles without using the protractor instead with the help of a compass.

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NCERT Solutions for Class 6 Maths – Free PDF Download

Study Studio provides the most reliable Solutions to the NCERT class 6 maths chapter 14. The NCERT chapter 14 practical geometry class 6 solutions are prepared by our subject experts in a step-by-step method. Students can download the NCERT solution for class 6 maths chapter 14 practical geometry PDF at their convenience, for studying offline as well.

Chapter 14 – Practical Geometry

NCERT Solutions for Class 6 Maths Chapters

Introduction

In the NCERT solutions, the first section deals with the different concepts of how to make different shapes of definite measurements. The NCERT solutions for class 6 maths chapter 14 practical geometry also present a list of different problems and their solutions to learn these concepts. You will also find some unsolved problems at the end of the chapter for you to practice. The problems shown in practical geometry class 6 PDF are based on various difficulty levels that will help you develop a conceptual understanding. Study Studio experts have prepared the class 6 maths practical geometry solutions in an easily understandable manner.

The Circle

All of you know what a circle is. It would be best to remember that a circle is a body with no corners. The distance of all the points on a circle is the same from its center. The distance between the center of a circle and any point on the circle is called the radius. Once you know the radius of a circle, you can easily draw the circle. You will get the detailed steps of constructing a circle with a known radius in the NCERT solutions for class 6 maths chapter 14 practical geometry. For example, if the radius is 6 cm, you need to put the tip of your compass at the 0th mark and the pencil attached to it at the ruler’s 6 cm mark. Then you need to place the tip at the center of the circle and draw the circle. Make sure you do not move the tip of the compass while you are drawing the circle. Otherwise, your circle will have an unequal radius in different regions.

Exercise 14.1 Questions and Answers

You must have developed some concepts until now. You need to use these concepts to solve the problems given at the end of class 6th maths chapter 14. To find out the solutions for class 6 maths chapter 14, you can download the PDF file and go through the similar solutions depicted in the file.

Exercise 14.1 Solutions: 5 Questions (2 short questions and 3 Long questions).

A Line Segment

If you have studied lines in previous classes, you must remember the difference between a line and a line segment. A line has no endpoints. A part of a line is called a line segment. The line segment has two endpoints. Therefore, there is a defined length of a line segment. If you know the length of a line segment, you can easily draw a line segment. The process of drawing a line segment of a defined length is discussed in detail in the NCERT solutions for class 6 maths chapter 14. For example, the length of the line segment is 5 cm. For drawing a line segment, you need a pencil and a ruler. You need to mark the starting point of the line segment on the paper. Then you need to use your ruler and place another point 5 cm away from the previous point. These are the two endpoints of your line segment. Now you need to join the two points with a straight line, and you must do it with the help of the ruler again. In this way, you can draw a line segment of a definite length. You will learn about this technique in detail in NCERT solutions for class 6 maths chapter practical geometry.

Exercise 14.2 Questions and Answers

Constructing a line segment is one of the easiest things to learn in practical geometry. You can easily draw it with a pencil and a ruler. If you want to solve problems on this topic, you must follow ch 14 maths class 6 NCERT solutions provided on Study Studio.

Exercise 14.2 Solutions: 5 Questions (5 short questions).

Copying a line segment is as easy as drawing one. You can follow simple techniques like tracing it with the help of a tracing paper. You can also measure the line segment’s length and then draw the next one of the same length. However, if you want to copy the line segment with a ruler and a compass, you should refer to NCERT solutions for class 6 maths chapter 14. Take the compass and put on the two ends of the line segment to be copied. Then put the compass on any point on another line. Use the pencil attached to the compass to make a mark on the line, with the measured length. Erase out the rest of the line. This line segment thus formed is of the same length as that of the previous line segment.

Exercise 14.3 Questions and Answers

Copying a line segment is easy to do if you follow the proper instructions mentioned in the NCERT Solutions for class 6 maths chapter 14 practical geometry. Follow the details mentioned in the PDF to learn the easy steps.

Exercise 14.3 Solutions: 2 Questions (2 long questions).

Perpendiculars

Drawing a perpendicular on a definite point on the line is easy. You can do it by choosing the point and then using the set square on that point. The set square will give you a perfect perpendicular. If the point is not on the line, use a compass to draw an arc on the line to cross in two points. Now take the compass on both the points, one at a time, and draw arcs on the other side of the line. Join the point on th straight line and the point of intersection of both the arcs and the line will be perpendicular to the previous line. You can also make the perpendiculars by the paper folding technique shown in NCERT solutions for class 6th maths chapter 14.

Exercise 14.4 Questions and Answers

You can learn the construction of perpendicular if you go through practical geometry class 6 NCERT solutions.

Exercise 14.4 Solutions: 3 Questions (3 Long questions).

If you want to draw one perpendicular bisector of a line segment, put your compass at each end of the line segment and draw a semi-circle with a radius greater than half of the line segment, from each end. There will be two intersection points of these two circles. Join them with a straight line, and you will get the perpendicular bisector.

Exercise 14.5 Questions and Answers

You can easily draw perpendicular bisectors on line segments by following the rules mentioned in class 6 maths practical geometry NCERT Solutions.

Exercise 14.5 Solutions: 9 Questions (9 Long questions).

Angles

You can learn different techniques of constructing angles in practical geometry class 6 NCERT solutions. You can draw the angle of a given measure by placing a protractor on the line segment and marking the angle measure. Draw a line from the end of the base line-segment to the marked point.

If you want to copy an unknown measure angle, draw a separate line segment and mark a point. Use the compass to make an arc on the given angle to cross both the lines. Without disturbing the compass angle, draw another arc on the new line segment with the new point as the center. Then go back to the previous angle, put the compass point and the pencil on the intersection points of the arc on the angle, respectively. Using the same measurement, draw another arc on the new line to intersect the previous arc. Joining the two arcs’ intersection point with the point on the new line will copy the angle.

If you want to bisect an angle, take the compass, draw one arc with the center’s meeting point, and the arc meets both the lines. Put the compass on the intersection point on one line of the angle so that the pencil is more than halfway but does not reach the other line. Follow the same with the other intersection point. The meeting point of both the arcs is the angle bisector.

You can also create angles of 60, 30, 90, and 120 degrees, in this way. You do not need the protractor for this purpose. You can make it with the compass and the ruler. You can also create angles half of these values by following the technique to draw an angle bisector. All these techniques are mentioned in ch 14 maths class 6 NCERT solutions.

Exercise 14.6 Questions and Answers

You can easily draw angles of various kinds by following the procedure mentioned in class 6 maths chapter 14 NCERT solutions.

Exercise 14.6 Solutions: 9 Questions (1 short question and 8 Long questions).

Key Features of NCERT Solutions for Class 6 Maths Chapter 14

The key features of class 6 practical geometry NCERT solutions will include:

Easy to understand approaches for the students.
The topics cover concepts required for all examinations.
The explanations will provide a basic understanding to solve complex problems.