NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry (EX 4.2) Exercise 4.2

The basis of Practical Geometry is the construction of objects in diverse shapes and sizes. This is one of the most important fields of Geometry. The construction of numerous two- and three-dimensional shapes is demonstrated to students. In Practical Geometry classes, students will learn to draw these shapes accurately.

In association with Practical Geometry, students learn:

  • How are parallel lines constructed? How to construct:
  • A Triangle having three known sides (SSS Criterion)
  • A Triangle with two given sides and a known included Angle (SAS Criterion)
  • Triangle, when two angles and one included side are known (ASA Criterion)
  • Right-angled Triangle with one side’s length and supplied hypotenuse (RHS Criterion)

With the aid of the NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.2 and the other resources on  Extramarks website, students may learn these procedures in-depth..

Geometry is a significant branch of Mathematics and an ancient branch of Science. For elementary or middle school students, it is all about different basic shapes, including their names, traits, and formulas relating to their Areas and Volumes. However, modern geometry has departed greatly from these core concepts. However, this does not imply any change in the fact that these concepts exist and the ways in which they are used in daily life. These concepts still have an effect on how people live their lives. Geometry is the most significant branch of Mathematics.

Geometry emerged as an academic field in the past, thus it has a significant impact on human life. Problems can be resolved through the application of geometrical concepts, especially in practical circumstances. Geometry has been in prevalent relevance since the days of the civilisation of ancient Egypt. They used knowledge of Geometry in many different fields, including Art, Measurement, and Building. As a consequence, beautiful temples, palaces, dams, and bridges are the remnants of Egyptian civilisation.

In addition to building and measurements, Geometry has an impact on a wide range of technical fields, such as Biological Modelling, Designing, Computer Graphics, and Typography. Students who are interested in learning more about these ancient and fascinating subject can use tools like the NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.2.

NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry (EX 4.2) Exercise 4.2 

Remarkably resourceful instructors of Mathematics have developed the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2. Students can access materials for lower elementary and middle school on the Extramarks website that were created using the same methodology as the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2. To ensure that they thoroughly understand all that is taught in class and everything that they must write about in their exams, Extramarks recommends students use resources like the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2.  Without a firm grounding in the conceptual knowledge imparted in elementary school classrooms, students cannot understand the middle and senior high school curriculum. A subject may lose its appeal if students do not have a concrete foundation.

Why Choose NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.2? 

Students should utilise the resources offered by Extramarks to avoid circumstances when they can lose interest in a subject. One of the many tools that students may easily access on the Extramarks learning portal are the NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.2. With the aid of the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2 and additional materials created especially for the Exercise 4.2 Class 8 Maths NCERT and made available on the Extramarks website, students can effectively finish the Class 8 Maths Chapter 4 Exercise 4.2.  Students may comprehend each question more easily if they examine the Class 8 Maths Chapter 4 Exercise 4.2 Solution. Students must have thorough answers for each question from the topics like  Practical Geometry Class 8 Exercise 4.2 in order to understand anything in Mathematics, and this is the most crucial prerequisite. The creation of objects in a variety of sizes and shapes forms the foundation of Practical Geometry. Geometry includes this area as one of its most important subfields. In addition to two-dimensional shapes, students are shown a variety of three-dimensional shapes. Students will acquire the ability to appropriately draw these shapes in Practical Geometry classes. Students can utilise the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2 and other materials designed exclusively for the chapter to comprehend the themes and subtopics discussed in the chapter.

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Advantages of NCERT Maths Solutions for Class 8 Chapter 4 

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Why is Geometry Important? 

One of the traditional branches of Mathematics is Geometry. This concept relates to figures and space and is roughly translated from Greek into English as “Earth Measurement”. It was initially developed as a useful tool for measuring volumes, lengths, and areas, and it is still in use today. Due to the fact that the world is made up of various shapes and spaces, Geometry is significant. Numerous real-world uses for Geometry are found. Students can make use of the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2 to better understand this subject.

NCERT Solutions for Class 8 

The NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2 aim at providing students with all the help they require to solve and practice the questions in the Class 8 Chapter 4. Students get detailed step-by-step solutions to all the questions that are asked in that particular exercise. With the help of the NCERT Solutions forClass 8 Maths Chapter 4 Exercise 4.2 and all the other NCERT solutions available on the Extramarks website, students can enhance their learning and gain more confidence in their preparation for the examinations.

Q.1 Construct the following quadrilaterals.

(i) Quadrilateral LIFT (ii) Quadrilateral GOLD
LI = 4 cm OL = 7.5 cm
IF = 3 cm GL = 6 cm
TL = 2.5 cm GD = 6 cm
LF = 4.5 cm LD = 5 cm
IT = 4 cm OD = 10 cm
(iii) Rhombus BEND
BN = 5.6 cm
DE = 6.5 cm

Ans

(i)

Steps of construction:

 

  • Draw a line segment LT of length 2.5 cm.
  • With L as centre, draw an arc of radius 4 cm.
  • With T as centre, draw an arc of radius 4 cm intersecting the previous arc at point I.
  • Join IL and IT.
  • With L as centre, draw an arc of radius 4.5 cm at point F.
  • With I as centre, draw an arc of radius 3 cm intersecting the previous arc at F.
  • Join IF,LF and FT.

Therefore, LIFT is the required quadrilateral.

(ii)

Steps of construction:

  • Draw a line segment GD of length 6 cm.
  • With G as centre, draw an arc of radius 6 cm.
  • With D as centre, draw an arc of radius 6 cm intersecting the previous arc at point L.
  • Join GL and DL.
  • With D as centre, draw an arc of radius 10 cm at point O.
  • With L as centre, draw an arc of radius 7.5 cm intersecting the previous arc at O.
  • Join LO,DO and GO.

Therefore, GOLD is the required quadrilateral.

(iii)

Steps of construction:

  • Draw a line segment ED of length 6.5 cm.
  • With E and D as centres draw the perpendicular bisector of ED.
  • Let the lines interesect each other at O.
    With O as centre, draw an arcs of radius 2.8 cm on both the sides.
  • Let the arcs intersect the perpendicular bisector at B and N.
  • Join NE, ND BD and BE.

Therefore, BEND is the required rhombus.

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FAQs (Frequently Asked Questions)

1. What is the use of Geometry in everyday life?

The Uses of Geometry in Daily Life

Geometry is the area of Mathematics with the greatest influence. It was created in ancient times, thus its influence on human life is likewise extensive. It can help with the resolution of practical problems in multiple real-world situations. Applications of it date back to ancient Egyptian culture. In a variety of contexts, including in the making of Art, in taking Measurements, and in the building of large-scale Architecture, Geometry was used.