# NCERT Solutions for Class 9 Maths Chapter 8 Exercise 8.2

CBSE NCERT Solutions for Class 9 Maths Chapter 8 Exercise 8.2 Quadrilaterals in Hindi and English Medium. Uttar Pradesh board high school students can also use these solutions as UP Board Solutions for Class 9 Maths Chapter 8.

All the contents are updated for the new academic session 2020-2021 in PDF as well as Videos format. Videos related to ex. 8.2 in Hindi and English language are given here free to use in simplified language.

## Class 9 Maths Exercise 8.2 Solution in Hindi and English Medium

 Class: 9 Mathematics Chapter: 8 Quadrilaterals Exercise: 8.2 NCERT Solutions in PDF and Videos

### Class 9 Maths Exercise 8.2 Solution in Hindi Medium Video

#### Class 9 Maths Chapter 8 Exercise 8.2 Question 1 and 2 Solution

Class 9 Maths Exercise 8.2 Question 1 Solution
Class 9 Maths Exercise 8.2 Question 2 Solution

#### Class 9 Maths Chapter 8 Exercise 8.2 Question 3 and 4 Solution

Class 9 Maths Exercise 8.2 Question 3 Solution
Class 9 Maths Exercise 8.2 Question 4 Solution

#### Class 9 Maths Chapter 8 Exercise 8.2 Question 5 and 6 Solution

Class 9 Maths Exercise 8.2 Question 5 Solution
Class 9 Maths Exercise 8.2 Question 6 Solution

#### Class 9 Maths Chapter 8 Exercise 8.2 Question 7 Solution

Class 9 Maths Exercise 8.2 Question 7 Solution
Class 9 Maths Chapter 8 Exercise 8.2 Solution

We have seen that in a parallel quadrilateral, each pair of opposite sides is equal. Further, we also know that if each pair of opposite sides of the quadrilateral is equal, then it is a parallel quadrilateral. We can conclude the same result for couples of opposite angles that in the parallelogram, the opposite angles are the same. We have studied many properties of a parallel quadrilateral in Grade 9 Math Chapter 8. Here, we can say that a quadrilateral is a parallelogram if a pair of opposite sides are equal and parallel.

We have studied many properties of a triangle and a quadrilateral. Now let’s examine another result that is related to the midpoint of the sides of a triangle. Do the following activity. Draw a triangle and mark the midpoints E and F of the two sides of the triangle. Join the points E and F. We will see that the line segment joining the midpoint of two sides of the triangle is parallel to the third side.

###### Significant result based on Mathematics chapter 8 from class 9
1. The sum of the angles of a quadrilateral is 360°.
2. The diagonal of a parallelogram divides it into two congruent triangles.
3. The diagonals of a rectangle intersect and are equal and vice versa.
4. The diagonals of an equilateral intersect at each other and vice versa.
5. The diagonals of a square cut each other at right angles and are equal, and vice versa.
6. The line segment joining the midpoints of any two sides of a triangle is parallel to the third side and half.
7. A line that passes parallel to one side of a triangle through the middle divides the third arm.
8. A quadrilateral formed by connecting the midpoints of a quadrilateral’s sides, in order, is a parallelogram.

##### Which theorem is important for exams from chapter 8 of CBSE Class 9 Maths?

Theorem 8.9, also known as the Mid-point theorem, is the essential theorem from chapter 8. It is the most frequent question in all exams.

##### Which example from class 9 Maths exercise 8.2 is important for exams?

Only two examples are covering exercise 8.2, that is, for example, 7 and 8. Example 8 is considered as a good question for exams.

##### Which is the most important question from exercise 8.2 of 9th Maths?

Class 9 Maths exercise 8.2 is consists of 7 questions. Question 1 is easy but important for exams. Question number 5 is tricky and frequently comes in exams.        