# NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.5) Exercise 14.5

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.5) Exercise 14.5

The understanding of various geometrical tools that are used in the construction of various geometrical shapes is one of the key concepts covered in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 based on Practical Geometry. These geometrical structures must be built to study advanced Maths. Additionally, it is employed to ascertain the Geometry of numerous objects in daily life. The study of various geometrical tools (such as a graduated Ruler, compasses, dividers, set-squares, and a protractor), as well as the construction of circles, line segments, perpendiculars, and angles, are the subjects covered in NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. There are 6 exercises totaling 33 questions in the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. The remaining sums are challenging, with 12 being straightforward, and 13 being a little more challenging.

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 discuss how to draw geometrical shapes. Practical Geometry plays a significant role in Maths because it establishes the foundations of Geometry for more complex subjects. This chapter discusses how various mathematical tools, including a graduated ruler, compasses, dividers, set-squares, and the protractor, can be used to create shapes. Students will learn how to construct a circle when its radius is known, a line segment when its length is known, a copy of a line segment, and a perpendicular to a line passing through a point using a ruler and compasses (both on the line and not on the line).

Students also learn how to use the ruler and compass to create the perpendicular bisector of a line segment of a specified length, an angle of a specified measure, a copy of an angle, the bisector of a specified angle, and some angles of special measures like 90°, 60, 135° 120°, etc. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5, lay the groundwork for understanding the fundamentals of Geometry by providing examples of various shapes and their constructions. If students are facing any problem in Class 6 Exercise 14.5 they can take help from Extramarks’ NCERT solutions. Class 6 Maths Ch 14 Ex 14.5 demands a lot of practice, which helps students understand the concepts of the chapter. Class 6 Maths Chapter 14.5 has a lot of questions, and students can take guidance from NCERT solutions for solving them. Students can also download the solutions for Exercise 14.5 Class 6 Maths and practice to get the best marks in the examinations.

The best way to assess knowledge is through exams. Since students have to put in a lot of effort to learn the material, getting high marks on exams is not particularly difficult. To learn everything there is to know about a particular subject, students must work hard and consistently. However, learning alone is insufficient because students also need to adhere to rules during exams if they want to do well.

Students must first cultivate a positive attitude towards education. Nothing is wrong if something does not go according to plan because, in the end, what matters is how students handle the setback and turn it into their success by maintaining a positive outlook. A positive attitude does not guarantee success, but it does motivate students to keep trying their hardest in the future.

When beginning to study for an exam, whether it be a board exam, an entrance exam, or any other competitive exam, the main rule to remember is to become completely knowledgeable about the subjects one has chosen to study. Instead of concentrating solely on the theoretical aspect, students should consider how the theory is applied in practise. Everyone should be aware that tests are given to determine how much actual knowledge someone has about a subject or a particular field. Students should never try to retain information through memorization; it is always better to understand the material at hand. In order to test a person’s cognitive abilities, the majority of questions on competitive exams are made difficult. If a topic is hard to understand, students should read as much content on it from books, social media, or lectures. Students can also ask friends or lecturers to explain. It will be extremely beneficial to understand the syllabus because it will not only help one perform well in exams.

### Access Other Exercises of Class 6 Maths Chapter 14

 Chapter 14 – Practical Geometry Exercises Exercise 14.1 5 Questions & Solutions Exercise 14.2 5 Questions & Solutions Exercise 14.3 2 Questions & Solutions Exercise 14.4 3 Questions & Solutions Exercise 14.6 9 Questions & Solutions

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.5) Exercise 14.5

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 enclose the chapter on Practical Geometry and Exercise 14.5 is crucial because it introduces the idea of a line segment’s perpendicular bisector. There are nine questions in this exercise. Finding the axis of symmetry is the focus of the first question, while creating the perpendicular bisectors is the task of the second, third, and fourth questions. Learners are asked to build a circle from a diameter in the fifth question, and a chord and its bisector in the sixth, seventh, and eighth questions. Creating a bisector of an angle is the subject of the ninth question.

Learners can gain a thorough understanding of the concept of the perpendicular bisector of a line segment and its associated properties by working through NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. In order to give students a well-rounded education, the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 are offered in PDF format. The further development of the concept of line segments is shown in NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. In this lesson, learners are taught how to use a compass and ruler to divide a line segment into two symmetrical parts. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 contains well-written,  original questions that are designed to improve mathematical abilities.

It is advised that students read the chapter’s examples and the questions in the preceding exercises before attempting the problems in NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. This will guarantee a thorough understanding of the idea of perpendicular line segment bisectors.

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 contains a variety of concepts that are required to comprehend the idea of Geometry in order to construct circles, line segments, perpendiculars, and angles. The Class 6 Maths Chapter 14 Exercise 14.5 based on Practical Geometry does not include a specific formula for how to construct shapes.

### Access NCERT Solution for Class 6 Maths Chapter 6 – Practical Geometry

The instructors of Extramarks have created NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 to assist students in efficiently preparing for their exams. Ex 14.5 Class 6 provides a thorough explanation of how to construct a line segment’s perpendicular bisector and the steps to take in doing so while using a compass and ruler. In these NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5, the steps in the construction of a line segment are discussed interactively to make it simple for the students to understand.

### Exercise 14.5

Students could Download PDFs of the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 and solutions to all of the chapter’s exercises, which were created by experienced teachers in accordance with the CBSE guidelines. Questions and NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 are provided to help students review the entire syllabus and earn higher marks.

## NCERT Solutions for Class 6 Maths Chapter 14 Practical Geometry (Ex 14.5) Exercise 14.5

The best option for students when it comes to exam preparation is choosing the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. There are numerous exercises in this chapter. In PDF format, Extramarks provides the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 for students use. Students can study these NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 directly from the Extramarks website or mobile application.

The problems and questions from the exercise have been meticulously solved by Extramarks’ subject matter experts while adhering to all CBSE guidelines. Any student in Class 6 can easily achieve the highest possible score on the final exam if they are thoroughly familiar with all the concepts from the Maths textbook and quite adept at solving all the problems from the exercises provided in it. Students can learn the pattern of questions that may be asked in the exam from this chapter and the chapter’s weightage in marks with the help of these NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 so that they can adequately prepare for the final exam.

Numerous exercises in this chapter contain numerous questions in addition to these NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. Extramarks’ internal subject specialists have already resolved or responded to these inquiries. Therefore, these solutions must be of the highest caliber, and anyone can use them to study for exams. Understanding all of the textbook concepts and completing the exercises provided next to them is crucial for achieving the highest grade possible in the class.

Q.1

Draw

$\overline{\mathrm{AB}}$

of length 7.3 cm and find its axis of symmetry.

Ans.

Steps of construction:
1. Draw a line segment

$\overline{\mathrm{AB}}$

of length 7.3 cm.
2. Mark two arcs of same radii and centres A and B, which intersect each other at C and D respectively.
3. CD is the axis of symmetry i.e., perpendicular bisector of line segment AB. Q.2 Draw a line segment of length 9.5 cm and construct its perpendicular bisector.

Ans.

Steps of construction:
1. Draw a line segment PQ of length 9.5 cm.
2. Mark two arcs of same radii and centres P and Q, which intersect each other at R and S respectively.
3. RS is the axis of symmetry i.e., perpendicular bisector of line segment PQ. Q.3

$\begin{array}{l}\text{Draw the perpendicular bisector of }\overline{\text{XY}}\text{ whose length is}\\ \text{10.3 cm. }\left(\text{a}\right)\text{ Take any point P on the bisector drawn. Examine}\\ \text{whether }\overline{\text{PX}}\text{ = }\overline{\text{PY}}\text{. }\left(\text{b}\right)\text{ If M is the midpoint of XY, what can}\\ \text{you say about the lengths }\overline{\text{MX}}\text{ and }\overline{\text{XY}}\text{?}\end{array}$

Ans. Steps of construction:
1. Draw a line segment XY = 10.3 cm.

2. Draw perpendicular bisector of line segment XY, which intersect each other at R and S.

3. Join RS. RS is the axis of symmetry.

(a) Here, by measuring we get: PX = PY (b) If M is the midpoint of line segment XY, then MX = MY. This means MX = (1/2) XY. Q.4 Draw a line segment of length 12.8 cm. Using compasses, divide it into four equal parts.Verify by actual measurement.

Ans.

Step of construction:
1. Draw a line segment XY = 12.8 cm.
2. Mark two arcs with radius more than 6.4 cm and centres X and Y respectively which intersect each other at R and S.
3. Join RS which intersect XY at P.
4. Similarly draw perpendicular bisectors of XP and PY.
5. By measuring with scale, we find that XA= 3.2 cm, AP = 3.2 cm, PB = 3.2 cm and BY = 3.2 cm. Q.5

$\mathrm{With}\stackrel{\to }{\mathrm{PQ}}\mathrm{of}\mathrm{length}6.1\mathrm{cm}\mathrm{as}\mathrm{diameter},\mathrm{draw}\mathrm{a}\mathrm{circle}.$

Ans.

Step of construction:
1. Draw a line segment PQ of length 6.1 cm.
2. Mark arcs of radius more than half of 6.1 cm with centre P and Q respectively. These arcs intersect each other at points C and D.
3. Join C and D. CD intersects PQ at the point O.
4. Draw a circle of radius OP or OQ with centre O.Thus, required circle passes through P and Q. Q.6

$\begin{array}{l}\mathrm{Draw}\mathrm{a}\mathrm{circle}\mathrm{with}\mathrm{centre}\mathrm{C}\mathrm{and}\mathrm{radius}3.4\mathrm{cm}.\mathrm{Draw}\mathrm{any}\\ \mathrm{chord}\overline{\mathrm{AB}}.\mathrm{Construct}\mathrm{the}\mathrm{perpendicular}\mathrm{bisector}\mathrm{of}\overline{\mathrm{AB}}\mathrm{and}\\ \mathrm{examine}\mathrm{if}\mathrm{it}\mathrm{passes}\mathrm{through}\mathrm{C}.\end{array}$

Ans.

Steps of construction:

1. Draw a circle with centre C and radius 3.4 cm.
2. Draw any chord AB.
3. Taking A and B as centres and radius more than half of AB, draw two arcs which cut each other at S and T.
4. Join ST. Then ST is the perpendicular bisector of AB.

This perpendicular bisector of AB passes through the centre C of the circle. Q.7

$\begin{array}{l}\mathrm{Draw}\mathrm{a}\mathrm{circle}\mathrm{with}\mathrm{centre}\mathrm{C}\mathrm{and}\mathrm{diameter}\overline{\mathrm{AB}}3.4\mathrm{cm}.\\ \mathrm{Construct}\mathrm{the}\mathrm{perpendicular}\mathrm{bisector}\mathrm{of}\overline{\mathrm{AB}}\mathrm{and}\\ \mathrm{examine}\mathrm{if}\mathrm{it}\mathrm{passes}\mathrm{through}\mathrm{C}.\end{array}$

Ans.

Steps of construction:

1. Draw a circle with radius 3.4/2 = 1.7 cm with
centre C.
2. Draw diameter AB.

3. Draw perpendicular bisector of AB with centre A
and B and any radius more than 1.7 cm.
4. The bisector PQ of AB intersects AB at centre C. Therefore, it can be observed that perpendicular bisector of AB passes through centre C. Q.8 Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Ans.

Step of construction:
1. Draw a circle of radius 4 cm with centre C.
2. Draw two chords AB and PQ.
3. Draw perpendicular bisectors of AB and PQ, which intersect at C. Therefore, it can be observed that bisectors of both chords intersect at the centre C of the circle. Q.9 Draw any angle with vertex O. Take a point A on one of its arms and B on another such that OA = OB. Draw the perpendicular bisectors of OA and OB. Let them meet at P. Is PA = PB?

Ans.

Steps of construction:
1. Make any angle with vertex O.
2. Mark two arcs on both rays with any radius and centre O.
3. Draw perpendicular bisectors of OA and OB. These perpendicular bisectors intersect at the point P.
4. Join PA and PB. By measuring PA and PB, we see that PA = PB. ## 1. How can Extramarks’ NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 help students succeed in their exams?

The curriculum for the CBSE board was used to create Extramarks’ NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5. To help students better understand the concepts, significant points are adequately explained. Students can complete the test without stress owing to chapter-wise solutions and practice. The main advantage of the solutions is that they assist students in improving their problem-solving abilities, which are required for the exam.

## 2. Are NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 available in PDF format?

The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 may be downloaded and studied by students whenever they have free time. Students can validate their responses with the aid of NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5.

## 3. Where can students find NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5?

Students in Class 6 can access the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 in PDF format on the Extramarks website and mobile application. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 have an easy-to-understand format. Proficient instructors of Maths have created the Class 6 Maths NCERT Solutions.

## 4. How can students in Class 6 use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 to prepare for their Maths exams?

Students can use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 to understand Arithmetic concepts thoroughly. With the help of the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5, students can learn how to give precise answers to questions in the Maths exam. Students can use the NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 to understand how to simplify complex problems. The NCERT Solutions Class 6 Maths Chapter 14 Exercise 14.5 give students more confidence in the Maths examination.

## 5. What important topics are covered in Chapter 14 of the NCERT Solutions for Class 6 Maths?

The problems in Exercise 14.5 Class 6 cover a wide range of questions and are all equally important. Children learn about various geometrical concepts and gain proficiency with various geometrical tools through each topic. Additionally, each exercise is meant to broaden students’ knowledge of a particular subject, so learners should make it a point to attempt every exercise question.

## 6. Why are Class 6 Maths Chapter 14 NCERT solutions Important?

Subject experts have provided the NCERT Solutions For Class 6 Maths Chapter 14 Exercise 14.5. These Class 6 Maths Exercise 14.5 give students a trustworthy way to assess their answers and detailed responses to every question. Learners can improve their grades by using this knowledge to write their papers in an organised manner.