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# NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals - PDF Download

JEE Mains & Advanced

NCERT solutions for class 9 maths chapter 8 Quadrilateral is a polygon with four sides, four vertices and four angles. It can be divided into different shapes like rectangle, square, parallelogram, rhombus, trapezium, and even kites. NCERT solutions for class 9 maths chapter 8 Quadrilaterals is useful for students to comprehend the fundamental properties, concepts and some important theorems of the Quadrilaterals. This chapter gives you all the formulas and questions you need to know based on angles, diagonals, the sum of angles, and the lengths of the sides of different quadrilaterals.

Learning the characteristics of quadrilaterals helps in identifying missing angles and quadratic sides. The concepts mentioned in NCERT solutions for class 9 math chapter 8 quadrilaterals are very important as they are the foundation for understanding many important topics in higher grades.

NCERT solutions from our subject experts include a full set of questions organized with a high level of difficulty which gives students plenty of chances to apply their knowledge. Download free NCERT solutions PDF for class 9 maths chapter 8 quadrilaterals prepared according to the latest update Syllabus. These NCERT solutions for class 9 maths will assist the students in comprehending Quadrilaterals effectively. Not only will these solutions help the students to resolve any doubts they may have, but they will also enable them to prepare more effectively for the examination.

## Important Topics covered in Chapter 8 - Quadrilaterals

This chapter covers the important topics of quadrilaterals, its properties, and some key theorems.

 8.1 Properties of a Parallelogram 8.2 The Mid-Point Theorem

8.1 Properties of a Parallelogram - The properties of parallelograms are very useful when dealing with Polygon problems. The properties of a parallelogram are explained in detail in chapter 8 of NCERT solutions class 9 through illustrated problems.

Properties of quadrilaterals listed here and are well-used in NCERT solutions for class 9 maths chapter 8. The opposite sides of a parallelogram are parallel and equal to each other. The angles of the opposite sides are equal. Diagonals form congruent triangles with  the sides of parallelogram, and the diagonals intersect each other. X is the angle between the diagonals and the vertices. eSaral Experts emphasize that the properties of the parallelogram are very important because it is the basic shape of other Quadrilaterals such as Rectangle, Rhombus and Square. In addition, all the properties of the parallelogram are used in certain proofs and problems solutions in the most efficient way in NCERT solutions provided by eSaral for class 9 chapter 8.

8.2 The Mid-Point Theorem - In this section, you will learn that The line segment joining the mid-points of two sides of a triangle is parallel to the third side. In contrast, the third side is bisected by the line that is drawn through the center of one side of the triangle and parallel to the other side. NCERT Solutions for class 9 maths chapter 8 shows the detailed solutions to all the problems based on mid-point theorems. The NCERT solutions for class 9 maths chapter 8 covers all these involuted problems in an easy-to-understand way for students.

## Important Theorems Covered In NCERT solutions for Class 9 Maths Chapter 8 - Quadrilaterals

To understand the concepts of quadrilaterals you need to learn the important theorems included in this chapter.

• Theorem 1 :  A diagonal of a parallelogram divides it into two congruent triangles.

• Theorem 2 : In a parallelogram, opposite sides are equal.

• Theorem 3 : If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

• Theorem 4 : In a parallelogram, opposite angles are equal.

• Theorem 5 : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.

• Theorem 6 : The diagonals of a parallelogram bisect each other.

• Theorem 7 : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

• Theorem 8 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.

• Theorem 9 : The line drawn through the midpoint of one side of a triangle, parallel to another side bisects the third side.

## NCERT Solutions for Class 9 Maths Chapter 8 Exercises

NCERT Solutions Maths for class 9 chapter 8 are well researched resources on eSaral that help students to develop analytical skills. The questions included in the exercises are suitable to provide a comprehensive knowledge of all the essential aspects of quadrilaterals.

click on the pdf links below to get the solutions of these exercises.

 Exercise 8.1 7 Questions & Solutions Exercise 8.2 6 Questions & Solutions

## Benefits of Downloading The NCERT Solutions for Class 9 Maths Chapter 8 - Quadrilaterals

There are many benefits to downloading and using NCERT solutions for chapter 8 Quadrilaterals in class 9 maths. Downloading and using NCERT solutions for Quadrilaterals chapter 8 can improve a student’s understanding and performance. Here are some of the main benefits:

1. NCERT solutions by eSaral are presented in an organized and straightforward format.

2. All the questions are solved using a step-by-step process in NCERT solutions given by our mathematics expert team.

3. One of the benefits of using an NCERT solution is that you can learn at your own pace.

4. These NCERT solutions are available free of cost on eSaral website, you can easily download them and practice questions of chapter 8.

#### Frequently Asked Questions

Question 1. What are Quadrilaterals as defined in NCERT solution for class 9 maths chapter 8 ?

Answer 1. A quadrilateral, as defined by the NCERT solutions for class 9 maths chapter 8, is a plane figure consisting of four sides (or edges) and four vertices (or corners ). The most common quadrilaterals are those with four sides, such as rectangles, squares, trapezoids, kites, or irregular and indeterminate shapes.

Question 2. What is the relationship between trapezium and parallelogram ?

Answer 2. The parallelogram corresponds to the trapezium, whereas the trapezium does not correspond to the parallelogram.

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