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NCERT solutions for class 9 math chapter 8 ex 8.1 Quadrilateral is based on the types of quadrangles and their properties. In class 9 maths chapter 8 exercise 8.1 NCERT solutions, students are asked to consider some of the unique properties of quadrilaterals and, in particular, parallelograms, including the diagonals of a parallelogram and its sides.

NCERT solution class 9 maths chapter 8 ex 8.1 includes seven questions that are based on the properties of this geometric shape. Through the practice of these questions, students will be able to gain a basic understanding of these fundamental concepts. ex 8.1 class 9 maths chapter 8 NCERT solutions are available for free to download. These solutions are designed by subject experts of eSaral and provide students with highly accurate and comprehensive answers to all questions of exercise. You can download NCERT solutions in PDF format for class 9 maths ex 8.1 very easily from the official site of eSaral. These solutions are free to download.

## Topics Covered in Exercise 8.1 class 9 Mathematics Questions

This NCERT solutions class 9 maths ex 8.1 is based on the properties of quadrilaterals, which are explained below.

 1 Properties of a Parallelogram Theorem 8.1 Theorem 8.2 Theorem 8.3 Theorem 8.4 Theorem 8.5 Theorem 8.6 Theorem 8.7
1. Properties of a Parallelogram - A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.

Here are some of the important properties of parallelogram.

• Theorem 8.1: A diagonal of a parallelogram divides it into two congruent triangles.

• Theorem 8.2: In a parallelogram, opposite sides are equal.

• Theorem 8.3: If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

• Theorem 8.4: In a parallelogram, opposite angles are equal.

• Theorem 8.5: If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram.

• Theorem 8.6: The diagonals of a parallelogram bisect each other.

• Theorem 8.7: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

## Tips for Solving Exercise 8.1 class 9 chapter 8 Quadrilaterals

Ex 8.1 class 9 maths chapter 8 solutions mainly focus on properties of parallelogram. You can solve questions of ex 8.1 by using the tips provided by our experienced faculty of maths on eSaral.

1. Students can gain a comprehensive understanding of the shape of two-dimensional geometry through regular practice of the questions included in the NCERT solutions class 9 maths chapter 8 ex 8.1 quadrilateral.

2. It is recommended to acquire a comprehensive knowledge of the definitions, formulas, and proofs for theorems before attempting questions of  ex 8.1class 9 maths NCERT solutions, in order to enhance the learning potential of the students.

3. Going through the examples and formulas will help students figure out how to answer these questions.

## Importance of Solving Ex 8.1 class 9 Maths chapter 8 Quadrilaterals

Ex 8.1 class 9 math NCERT solutions mainly discuss parallelograms and their properties. Check out some of the advantages of solving ex 8.1 below.

1. Ex. 8.1 class 9 maths solutions provides a basic understanding of quadrilaterals, their properties, and their classification.

2. Class 9 ex 8.1 provides clear and easy understanding of concepts, making it easy for students to understand every question.

3. Class 9 maths ex 8.1 answers are designed to assist students in preparing for examinations by providing a variety of questions that may be encountered during the final exam.

4. You can also download these solutions PDF from eSaral for future reference.

Question 1. What do you mean by quadrilaterals? Explain.

Answer 1. A quadrilateral is a four-sided polygon with four angles. Quadrilaterals are commonly found in various shapes, such as rhombuses, rectangles, parallelograms, squares etc.

Question 2. Write some of the properties of parallelogram?

Answer 2. Parallelograms have different properties. Here are some of them.

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

2. In a parallelogram, opposite sides are equal.

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

4. In a parallelogram, opposite angles are equal.