NCERT Solutions Class 8 Maths Chapter 4 Practical Geometry
The NCERT solutions for class 8 maths chapter 4 practical geometry combine two concepts to teach children more about geometry. The first topic used is Construction that students have learned in previous classes and the second is quadrilaterals that kids might be familiar with from chapter 3 Understanding Quadrilaterals. This lesson is the perfect amalgamation of both the topics mentioned above to build on the concepts that kids have learned before. Additionally, it also shows them all the new ways in which they can implement these ideas. NCERT solutions class 8 maths chapter 4 focuses on constructing quadrilaterals when certain constraints are imposed on them for example, constructing a quadrilateral when four sides and one diagonal are given.
Class 8 maths NCERT solutions chapter 4 shows children how to correctly use a ruler and a compass to draw quadrilaterals. When the measure of four sides and a diagonal is given the first step is to construct a triangle using the SSS construction condition. Next, the fourth point is located with the help of two arcs using the given measurements to give the quadrilateral. NCERT solutions Chapter 4 practical geometry consists of many such techniques that give students holistic learning of how to construct quadrilaterals and also you can find some of these in the exercises given below.
- NCERT Solutions Class 8 Maths Chapter 4 Ex 4.1
- NCERT Solutions Class 8 Maths Chapter 4 Ex 4.2
- NCERT Solutions Class 8 Maths Chapter 4 Ex 4.3
- NCERT Solutions Class 8 Maths Chapter 4 Ex 4.4
- NCERT Solutions Class 8 Maths Chapter 4 Ex 4.5
NCERT Solutions for Class 8 Maths Chapter 4 PDF
The entire chapter helps students to revise previous concepts while incorporating some new and unique topics. The NCERT solutions class 8 Maths have to-the-point, precise, and well-written solutions that use a simple language understandable by students of all intelligence quotas. Given below are the links to the solutions that kids can use to cross-reference their answers and get an insight into presenting their answers in a structured manner to get excellent marks in any examination.
☛ Download Class 8 Maths NCERT Solutions Chapter 4 Practical Geometry
NCERT Class 8 Maths Chapter 4
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry
Constructing quadrilaterals requires a high degree of exactness. This can only be achieved if kids revise the coursework at regular intervals. The solutions given above have a step-wise and detailed explanation of all problems in the NCERT textbook along with some exceptional tricks to streamline the process of solving questions. An in-depth analysis of the NCERT Solutions Class 8 Maths Chapter 4 practical geometry is given below that will help students in perfecting this lesson.
- Class 8 Maths Chapter 4 Ex 4.1 - 1 Question
- Class 8 Maths Chapter 4 Ex 4.2 - 1 Question
- Class 8 Maths Chapter 4 Ex 4.3 - 1 Question
- Class 8 Maths Chapter 4 Ex 4.4 - 1 Question
- Class 8 Maths Chapter 4 Ex 4.5 - 4 Questions
Topics Covered: Constructing quadrilaterals when four sides and one diagonal are given, two diagonals and three sides are known, two adjacent sides and three angles are mentioned as well as some special cases are the scope of the topics that fall under class 8 maths NCERT solutions chapter 4.
Total Questions: Class 8 maths chapter 4 Practical Geometry has a pool of 8 questions. 4 problems have sub-parts that range from easy to medium level sums while the remaining 4 are complex.
List of Formulas in NCERT Solutions Class 8 Maths Chapter 4
The NCERT solutions class 8 maths chapter 4 does not have any mathematical formulas for solving questions, rather they are based on the properties of quadrilaterals as well as steps that need to be followed for constructions. There will be a different technique employed when constructing quadrilaterals depending upon the given conditions. The steps to a few of these sub-topics available in the NCERT solutions for class 8 maths chapter 4 are given below:
Four sides and one diagonal are known:
- Draw a triangle with the two given sides and one diagonal using a compass as well as a ruler.
- Next, mark an arc from the point of intersection of the first and second sides equal to the length of the third side. Another arc is marked from the point of intersection of the first and third sides equal to the distance measure of the fourth side.
- Complete the lines to get the quadrilateral.
Similarly, steps are given to solve questions on other criteria as well.
FAQs on NCERT Solutions Class 8 Maths Chapter 4
Why are NCERT Solutions Class 8 Maths Chapter 4 Important?
NCERT Solutions Class 8 Maths Chapter 4 are extremely important because it lays the foundation for geometric construction skills within children. In practical geometry, the main focus lies in the steps of construction. These solutions present them in a well-organized form to help kids instill crystal clear concepts.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 8 Maths Practical Geometry?
The problems in the NCERT textbook are handpicked by mathematical geniuses to give students a complete understanding of the chapter. Each problem in the NCERT Solutions Class 8 Maths Practical Geometry serves a different purpose and hence, must be practiced. By revising all questions, kids will maximize the probability of getting a good score in their exams.
What are the Important Topics Covered in NCERT Solutions Class 8 Maths Chapter 4?
Each exercise in the NCERT Solutions Class 8 Maths Chapter 4 is based on a different way of constructing a quadrilateral. Questions in an examination paper can be based on any constraint imposed such as constructing a quadrilateral when three sides and two diagonals are known, three sides and two included angles are given, and so on. Hence, all topics need to be given equal importance and the same amount of practice time.
How Many Questions are there in NCERT Solutions Class 8 Maths Chapter 4 Practical Geometry?
There are a total of 7 questions in NCERT Solutions Class 8 Maths Chapter 4 Practical Geometry. 4 are based on a different construction constraint and have sub-parts while 4 are higher-order thinking problems that require kids to use their acumen and mathematical intellect.
How CBSE Students can utilize Class 8 Maths NCERT Solutions Chapter 4 effectively?
To effectively utilize the NCERT Solutions Class 8 Maths Chapter 4 it is highly advised to go through all the properties associated with the special types of quadrilaterals such as parallelograms, rectangles, rhombuses, and squares. This enables kids to progress through the solutions faster and helps them instill strong concepts.
Why Should I Practice NCERT Solutions Class 8 Maths Practical Geometry Chapter 4?
Practice equals perfection. The NCERT Solutions Class 8 Maths Practical Geometry Chapter 4 calls for precise and accurate measurements. This level of precision in drawing figures can only be achieved through regular practice and due diligence; thus, kids must periodically revise these sums and ensure that they do not skip any question.