NCERT Solutions Class 8 Maths Chapter 4 Exercise 4.5
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The National Council of Educational Research and Training (NCERT) is in charge of creating and disseminating textbooks for all grade levels and subject areas. The Central Board of Secondary Education (CBSE) and several state boards recognise NCERT textbooks, which are comprehensive and cover all topics. The CBSE hopes to provide students with a dynamic, engaging, and comprehensive education that will inspire greatness in all spheres of human endeavour. The Board is dedicated to providing students with a topnotch education that supports their intellectual, social, and cultural vitality. It aims to offer a teaching style and environment that will enable future generations to lead the world in the emerging knowledge society. The board advocates for an ongoing, thorough review that puts the holistic development of students first. The board promises to create a stressfree learning atmosphere to create competent, assured, and creative people who will support peace and harmony.
NCERT textbooks are meticulously created. The books are designed to promote each learner’s overall development. Students must receive the proper support as they work with this wellresearched material. There could be confusion regarding reliable sources to refer to. Students can find all the tools they need to prepare for academic and competitive exams on the Extramarks website and mobile application. Students may benefit from using Extramarks to be ready for a variety of competitive exams, including the JEE Mains, NEET, JEE Advance, CUET, and others. For all subjects, Extramarks offers very trustworthy and precise study resources. For test preparation, students can use the Extramarks website and mobile application to access study materials for the academic curriculum of various boards. The CBSE, ICSE, and other wellknown state boards are among them. Extramarks’ reference materials are updated in line with the curriculum and are continually reviewed for inconsistencies. Throughout the examination preparation process, students can use the study materials to enhance their confidence. The arithmetic themes in the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, have been improved with systematically organised solutions of exercises that reinforce mathematical ideas. With an eye towards the exam, each exercise question has been painstakingly resolved so that students can grasp the answers adequately.
Exercise 4.5 Class 8 Maths NCERT, based on Practical Geometry, encapsulates the construction of various Quadrilaterals. Students can better grasp how a Quadrilateral is constructed in some exceptional instances by using the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5. The Practical Geometry Class 8 Exercise 4.5 deals with creating Quadrilaterals under specific circumstances. This task is challenging because it incorporates the knowledge gained from earlier exercises with the intriguing characteristics of Quadrilaterals. Drawing Rhombuses, Squares, and Rectangles, as well as arguing whether or not a certain Quadrilateral can be created given the constraints, are just a few of the problems included in this exercise. There are four questions in NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, that are all of equal complexity. Students may study these solutions on the Extramarks official website or mobile application, or they can download the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 at their convenience.
Students have learned from past classes that a unique Quadrilateral may be created using the measurements provided. The specified requirements in this activity, however, might not produce a singular quadrilateral. When solving challenges, students must keep this in mind. There are several problems in the Class 8 Maths Chapter 4 Exercise 4.5. While some inquiries are simple, others require further consideration. Some inquiries could be challenging and call for outside assistance. Students are unable to complete all of their assignments in one session. The solutions to all of the exercise problems in Exercise 4.5 Class 8 Maths NCERT are included in the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5. For students who are doing the exercise for the first time, these solutions serve as an excellent reference. Students who wish to quickly review material after the school year might benefit from it as well.
NCERT Solutions Class 8 Maths Maths Chapter 4 Exercise 4.5
After thorough research, subject experts have carefully crafted the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, to provide a thorough knowledge of all foundational concepts. If students systematically prepare all of the pertinent academic themes using the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, they will be able to gain a thorough understanding of the material and perform well in exams. The comprehensibility of the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 is perfect for motivating students to practice Mathematics, which in turn helps to increase their confidence.
The Extramarks website offers access to the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5. Students may get all supplementary NCERT solutions on Extramarks. On the Extramarks mobile application, students can also get the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, and other resources.
Access NCERT Solutions for Class 8 Chapter 4 – Practical Geometry
For CBSE students studying for the academic exams, the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 are regarded as the best choice. The exercises in this chapter are many. Students may struggle to complete Class 8 Maths Chapter 4 Exercise 4.5. Students may get the solutions to Practical Geometry Class 8 Exercise 4.5 through the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5. Students may access the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 directly on the Extramarks website or mobile application, or they can download these if necessary.
Chapter 4 – Quadrilaterals
A closed Quadrilateral has four sides, four vertices, and four angles. It is a form of a Polygon. It is made by joining four noncollinear points. The sum of all the internal angles of a Quadrilateral is always 360 degrees. The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term “Quadrilateral.” A Quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, there could be several types of Quadrilaterals.
Question: What is Quadrilateral?
A Quadrilateral is a Polygon having four sides and four vertices with distinct angles. In quadrilaterals, all angles can add up to 360°. This is sometimes referred to as the quadrilateral by sum property. There are two types of Quadrilaterals:
 An Easy quadrilateral
 Quadrilateral Compound
Two diagonals that can be traced to the other side of a quadrilateral are possible. Here are a few examples of Quadrilaterals.
 Rhombus
 Parallelogram
 Square
 Rectangle.
 Trapezium
The form of a Quadrilateral is always closed. It is referred to as a Trapezium if any quadrilateral ABCD has two adjacent parallel sides.
Question: How to construct a Quadrilateral PQRS
The assumptions given for the question are as follows: MN = 4.5 cm, NO = 5, OP = 6, PM = 7, and MO = 8 cm.
 Step 1: Draw a line with a MO of 8 cm.
 Step 2: Draw a 4.5cm arc with M as the centre.
 Step 3: Using O as the figure’s centre, draw a 5 cm arc and connect it to the first arc.
 Step 4: Next, combine the points and designate N as the location where two arcs overlap.
 Students will thus have a triangular MNO.
 Step 5: Draw a 7cm arc using M as the centre once more.
 Step 6: Draw a 6 cm arc using the centre O once more.
 Step 7: Next, identify the intersection of two arcs as point P, and then connect all of the points.
 The MNOP is a quadrilateral with the diagonal MO, as students will eventually see.
Question: What is Rhombus?
A Rhombus is a Quadrilateral with four equally sized sides. Each angle of a Rhombus is equal to 90°. The Rhombus is divided into two equilateral triangles by its four vertices and two diagonals on the opposite side. With regard to a Rhombus ABCD, at 90° angles, the diagonals of the rhombus ABCD cross one another. Also, they cut each other in half. Four triangles with equal areas are created when two diagonals cross. The diagonals of the Rhombus ABCD cut across its opposing angles. The product of length and breadth may be used to compute the area of a Rhombus ABCD. The four times on one side of the Rhombus ABCD constitute its parameter.
Question: How to construct a Rhombus?
The following details are given in the question: QS = 10 cm and PR = 8 cm
Procedure of construction:
 Step 1: Create a section of 8 cm of line.
 Step 2: Draw arcs with a radius of more than half of PR, using P as the centre.
 Step 3: Using R as the centre, draw arcs that have a radius that cuts across the preceding arcs. This will give students two points.
 Step 4: Join them to create a bisector M that is perpendicular to the line segment PR.
 Step 5: Using O as the centre, now draw arcs with a radius equal to the length of the line segment QS.
 Step 6: Students will be given the Q and S points.
 Join the Points P, Q, R, and S.
PQRS is thus the necessary rhombus for oneself.
NCERT Solutions for Class 8
As students prepare for the Class 8 annual exams, NCERT Solutions are a crucial tool. They aid in their comprehension of the fundamental ideas behind each topic, and the exercises provided at the end of each chapter enable them to evaluate their level of understanding. NCERT solutions such as the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 are provided for each chapter of the curriculum of Class 8:
Chapter 1 Rational Numbers
Chapter 2 Linear Equations in One Variable
Chapter 3 Understanding Quadrilaterals
Chapter 4 Practical Geometry
Chapter 5 Data Handling
Chapter 6 Squares and Square Roots
Chapter 7 Cubes and Cube Roots
Chapter 8 Comparing Quantities
Chapter 9 Algebraic Expressions and Identities
Chapter 10 Visualising Solid Shapes
Chapter 11 Mensuration
Chapter 12 Exponents and Powers
Chapter 13 Direct and Indirect proportions
Chapter 14 Factorisation
Chapter 15 Introduction to Graphs
Chapter 16 Playing with Numbers
Even though Mathematics can be a complex subject, it can also be quite rewarding when students practice its problems on a regular basis. For students struggling with a certain mathematical idea, Extramarks’ NCERT solutions for Class 8 Mathematics are an excellent study resource. Extramarks offers indepth solutions for all subjects taught from Class 1 to Class 12, assisting students in passing exams with good marks. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, have been properly created and organised by subject specialists with years of experience. These solutions were developed to help students find answers to their questions and to provide a stepbystep procedure for handling difficult mathematical problems. Class 8 Maths Exercise 4.5 Solution of the Practical Geometry Class 8 Exercise 4.5 have been resolved with the same devotion by excellent mentors who are similarly knowledgeable and skilled.
It is strongly emphasised that using the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, is the best option for CBSE students in terms of examination preparation. The Practical Geometry Class 8 Exercise 4.5 has four problems. On their official website and mobile application, Extramarks offers NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, in PDF format. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, are available for students to study immediately from the website or Learning App or to download as needed. Students are advised to use the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, to comprehend all of the topics in the textbooks and finish the exercises. These NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, might help students get high marks in the class.
On the Extramarks website, the solutions for all 16 chapters of the Class 8 NCERT Mathematics book are accessible and may be downloaded in PDF format. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, are available for download on this website. Along with textbook exercises, examples with answers included in the text, and reference resources, these solutions are essential study aids. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, are a fantastic study tool for students who are getting ready for a variety of test questions. Students can simply obtain the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, by clicking on the supplied link.
To study for the mathematics exam, students can use the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5. The most recent Central Board of Secondary Education syllabus is used in the creation of the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 are crucial for fostering the development of core mathematical problemsolving skills. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, can be used for selfevaluation while students continue to prepare for the Mathematics test. To evaluate their level of readiness for the Mathematics exam, students must read through each of the solutions in the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5.
Students ought to download the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, from the Extramarks website right away to improve the quality of their test preparation. The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, can also be downloaded using the Extramarks application if one already has it installed on a phone.
Q.1 Draw the following.
The square READ with RE = 5.1 cm.
Ans
Steps of construction:
 Draw a line segment RU of length 5.1 cm.
 With R as centre, draw an angle of 90°.
 With R as centre and radius 5.1 cm, draw an arc intersecting the previous ray at point D.
 Join RD.
 With E as centre, draw an angle of 90°.
 With E as centre and radius 5.1 cm, draw an arc intersecting the previous ray at point cm at A.
 Join EA and AD.
Therefore, TRUE is the required square.
Q.2 A rhombus whose diagonals are 5.2 cm and 6.4 cm long.
Ans
Steps of construction:
 Draw a line segment AC of length 5.2 cm.
 Draw the perpendicular bisector of AC intersecting it at point O.
 With A and C as centres, draw arcs on both the sides of the perpendicular bisector of radius 3.2 cm.
 Let the arcs intersect at point B and D.
 Join AB,AD,BC and CD.
Therefore, ABCD is the required rhombus.
Q.3 Draw a rectangle with adjacent sides of lengths 5 cm and 4 cm.
Ans
Steps of construction:
 Draw a line segment AB of length 5 cm.
 With A as centre, draw an angle of 90°.
 With B as centre, draw an angle of 90°.
 With A and B as centres, draw arcs of radius 4 cm, intersecting the previous line segments at C and D.
 Join CD.
Therefore, ABCD is the required rectangle.
Q.4 Draw a parallelogram OKAY where OK = 5.5 cm and KA= 4.2 cm. Is it unique?
Ans
Steps of construction:
 Draw a line segment OK of length 5.5 cm.
 With K as centre, draw a ray at a convenient angle.
 With K as centre and radius 4.2 cm, draw an arc intersecting the previous arc at A.
 Join KA
 With O as centre,draw a ray parallel to KA.
 With O as centre and radius 4.2 cm, draw an arc intersecting the previous arc at Y.
 Join OY and AY.
Therefore, OKAY is the required parallelogram.
No, the parallelogram OKAY is not unique.
For constructing any quadrilateral, we should have 5 measurements but here, we are given only 4 measurements. So it can be drawn using various different angles.
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FAQs (Frequently Asked Questions)
1. What advantages do the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 offer?
The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 by Extramarks are very useful for comprehending the various questions in Class 8 Maths Chapter 4 Exercise 4.5. Students can utilise the NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 to doublecheck their approach and methodology or to correct their calculations. Using NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5, students may easily recognise their negligent errors and rectify them. On the Extramarks website and mobile app, these solutions are available for download.
2. How many solved problems are there NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5?
The NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 consist of 4 questions and their answers. These NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 consist of thorough and accurate answers for the test. Every problem is resolved using the appropriate procedure or technique. The procedure for solving NCERT Solutions For Class 8 Maths Chapter 4 Exercise 4.5 can be used by students in their exams to help them achieve good marks.
3. What other kinds of Quadrilaterals are there?
Quadrilaterals are just foursided Polygons, according to the definition. Trapezium, Rhombus, Rectangle, Parallelogram, Square, and Kite are the six main types of quadrilaterals. To begin with, Trapeziums are Quadrilaterals with two parallel sides. In addition, a Rhombus is a form whose sides are of the same length. The opposing sides and angles are, nonetheless, parallel and equal. Thirdly, Rectangles are a particular kind of Quadrilateral with equallength opposing sides and four 90degree angles. The fourth point is that Parallelograms have two sets of parallel sides. Additionally, Squares have equal sides on all four edges, and the enclosed angles are all 90 degrees. Last but not least, a Kite is a form of the Quadrilateral with two pairs of neighbouring sides that are of equal length.
4. What are the practical applications of Geometry?
There are a plethora of practical uses for Geometry. Geometry is used in a wide variety of fields, including Physical Sciences and Biology as well as video games, Architecture, and Computeraided manufacturing. In addition to these fields, Geometry is important in Nanotechnology, Computer Graphics, Global Positioning Systems, Astronomy, Mapping, Robotics, and more.