NCERT Solutions for Class 8 Maths Chapter 4 (EX 4.1)
Exercise 4.1
1. Construct the following quadrilaterals.
(i) Quadrilateral ABCD
AB = $4.5$cm
BC = $5.5$cm
CD = 4 cm
AD = 6 cm
AC = 7 cm
Ans: Firstly, sketch a rough drawing of this quadrilateral as shown below.
(1) \[\Delta ABC\]can be constructed by drawing one arc with centre B and radius $4.5$cm and one arc with centre C and radius 7cm.
(2) Vertex D is 6 cm away from vertex A. Therefore, draw
an arc by taking A as centre and radius 6 cm.
(3) Draw an arc with centre C radius 4 cm, and the arc is cutting the previous arc at point
D. Join AD and CD.
ABCD is the required quadrilateral.
(ii) Quadrilateral JUMP
JU = \[3.5\]cm
UM = 4 cm
MP = 5 cm
PJ = $4.5$cm
PU = \[6.5\] cm
Ans: Firstly, sketch a rough drawing of this quadrilateral as shown below.
(1) \[\Delta JUP\] can be constructed by drawing one arc with centre P and radius $4.5$cm and one arc with centre U and radius \[3.5\]cm.
(2) Draw an arc with centre P and radius 5 cm and another arc with centre U and radius 4 cm. Let the point of intersection be M.
Join the lines MP and MU.
JUMP is the required quadrilateral.
iii) Parallelogram MORE
OR = 6 cm
RE = $4.5$cm
EO = \[7.5\]cm
Ans: We know that opposite sides of a parallelogram are equal in length and also these are parallel to each other.
Hence, ME = OR, MO = ER
A rough sketch of this parallelogram can be drawn as follows.
(1) \[\Delta EOR\] can be constructed by drawing one arc with centre O and radius \[7.5\]cm and one arc with centre R and radius \[4.5\]cm. And the intersection is point E
(2) Draw arc with centre O and radius $4.5 cm$ and another arc with centre E and radius 6 cm. These will intersect each other at point M.
(Image will be Uploaded Soon)
(3) Join the lines ME and MO.
MORE is the required parallelogram.
(Image will be Uploaded Soon)
(iv) Rhombus BEST
BE = $4.5$cm
ET = 6 cm
Ans: We know that all sides of a rhombus are of the same measure.
Hence, BE = ES = ST = TB.
(Image will be Uploaded Soon)
A rough sketch of this rhombus can be drawn as follows.
(1) \[\Delta BET\]can be constructed by drawing arcs, each of radius of 4.5 cm with center as E, T.
(Image will be Uploaded Soon)
(2) Again draw arcs, each of radius of 4.5 cm with center as E, T below the triangle EBT, which will be intersecting each other at point S.
(Image will be Uploaded Soon)
(3) Join the lines SE and ST.
BEST is the required rhombus.
(Image will be Uploaded Soon)
Maths Class 8 Chapter 4 Exercise 4.1
Class 8 is the year for building a solid conceptual foundation for subsequent board years. This is the time when a student needs to concentrate on learning Maths fundamentals the most. Standard 8 is quite the building block for the future. Practical Geometry has always been the fun part of learning Maths for all students. Maths Class 8 Chapter 4 Exercise 4.1 deals with quite a number of essential topics. NCERT Solutions for Class 8 Maths Chapter Practical Geometry contains a detailed step by step explanation of all problem sums pertaining to the chapter. These solutions are comprehensive and to the point. They help you understand better and attain higher conceptual clarity. NCERT Solutions for Class 8 Maths Chapter 4- Practical Geometry contains the following important concepts.
Introduction of Quadrilaterals
Construction of a Quadrilateral
How to construct a Quadrilateral when the lengths of a diagonal and four sides are given
How to construct a Quadrilateral when three sides and two diagonals are given
How to construct a Quadrilateral when three angles and two adjacent sides are known
How to construct a Quadrilateral when two included angles and three sides are given
Some special cases
Vedantu’s NCERT Solutions for Class 8 Maths Chapter Practical Geometry comprises of all solved examples, all possible types of questions and answers from the chapter and relevant examples. Subject experts have prepared them in a manner that you can easily get familiar with the topics and subtopics of the chapter and soon become thorough with the subject. These solutions are devised to help you efficiently practice and effectively learn Practical Geometry Class 8 Exercise 4.1 and other exercises from this chapter. These exhaustive solutions make first time learning and later revision a smoother and more fruitful process.
Download NCERT Maths Class 8 to help you to revise complete syllabus ans score more marks in your examinations.
On Vedantu, solutions to Class 8 Maths Chapter 4, Exercise 4.1 are well organized and systematically laid out. They are based on proven study strategies that make learning a simpler, faster and more productive process. They are of the finest quality and help you score maximum marks in your exams. Exercise 4.1 Class 8 solutions have been constructed to include the simplest, shortest and most logical order of answers to all problem sums. This ensures you clear your mind of any conceptual ambiguity.
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FAQs on NCERT Solutions for Class 8 Maths Chapter 4: Practical Geometry - Exercise 4.1
1. How many Questions are there in Chapter 4 Practical Geometry Exercise 4.1?
There are a total of 1 question and 4 sub-questions in Exercise 4.1 of Chapter 4 Maths. The construction of a quadrilateral with a predetermined diagonal and four side lengths is covered in NCERT Practical Geometry. NCERT Solutions for Class 8 Maths, Chapter 4 Practical Geometry (Ex. 4.1) Exercise 4.1 contains a reference to Vedantu. Here, subject-matter experts create precise solutions that inevitably result in excellent grades.
2. What is the importance of Vedantu’s NCERT Solutions for Class 8 Maths, Chapter 4 Practical Geometry (Ex. 4.1) Exercise 4.1?
NCERT Solutions for Class 8 Maths, Chapter 4 Practical Geometry (Ex. 4.1) Exercise 4.1, are available for free for every topic on Ventantu, the best online educational portal in India. Following are a few of the main benefits:
These answers have been thoughtfully prepared in accordance with the most recent CBSE standards.
Solutions that are presented in a step-by-step fashion and are 100% accurate always provide outstanding outcomes.
Students can complete the math assignment on time by using a variety of strategies and time-saving techniques.
Both the Vedantu website and mobile app offer free PDF downloads of all of these study materials.
3. What do you mean by Practical Geometry in class 8 maths?
A subfield of geometry known as "practical geometry" teaches students how to build different geometrical objects like line segments, angles, triangles, and various polygons. To create the necessary shapes using the provided precise measurements, we employ a variety of geometrical tools. Students can consult Vedantu for all the crucial inquiries, NCERT solutions, review materials, and other study resources for Class 8 Math.
4. Is it necessary for me to go over each and every question in NCERT Solutions for Class 8 Maths, Chapter 4 Practical Geometry (Ex. 4.1) Exercise 4.1?
To get good grades, you must undoubtedly practice all of the questions from the NCERT textbook. The Class 8 Maths NCERT solutions are the most helpful source since they provide a variety of questions that need the right concept and understanding to be solved. You can get ready for any challenging or uncommon exam questions by consistently practicing. For free, Vedantu offers comprehensive, step-by-step NCERT solutions for all math chapters.
5. Where can I find NCERT Solutions for Chapter 4 Practical Geometry (Ex. 4.1) Exercise 4.1 in Class 8 Mathematics?
NCERT solutions are available for all topics on Vedantu, India's top online learning platform, to assist students in getting ready for their math exams. These solutions were created by top topic specialists in accordance with the most recent CBSE curriculum. The solutions are presented step-by-step and are meticulously organised and accurate. You can access the NCERT Solutions for Class 8 Maths, Chapter 4 Practical Geometry (Ex. 4.1) Exercise 4.1 for free by going to Vedantu's official website (Vedantu.com) or by downloading the Vedantu mobile application.