NCERT Solutions for Class 9 Maths Chapter 8 - Download PDF - Embibe
  • Written By Ravikant_Yadav
  • Last Modified 04-08-2022
  • Written By Ravikant_Yadav
  • Last Modified 04-08-2022

NCERT Solutions for Class 9 Maths Chapter 8

NCERT Solutions for Class 9 Maths Chapter 8: This chapter covers the key concepts of Quadrilaterals in an easy and concise way. In this article, we have provided chapter description, NCERT Solutions and its PDF, solved exercises. The Class 9 syllabus is bifurcated into two sections, Term I and Term II. The Chapter 8 Quadrilaterals, falls under the syllabus for Term II exam. The NCERT Solutions for Class 9 Maths Chapter 8 have been solved in a step-by-step manner by the academic experts of Embibe, abiding by the CBSE guidelines.

We have also provided the summary of NCERT textbook for Chapter 8 for their ready reference. It contains the basic ideas explained in this chapter and some important pointers. students can download the NCERT Solutions and study offline as well. Read the article for a comprehensive their preparation in this chapter and prepare well for their final exams.

Latest Update:

? The CBSE Term 1 results are expected to be released in March 2022.
? The Term 2 examination will commence from April 26, 2022. The board will release the Term 2 exam date sheet in March 2022.

NCERT Solutions for Class 9 Maths Chapter 8: Quadrilaterals

Before we dive into the details of NCERT Solutions for Class 9 Maths Chapter 8, let’s have a comprehensive look at the topics in this chapter. Furthermore, we have also provided an overview of the exercises included in Class 9 Chapter 8. The NCERT Solutions for Class 9 Maths Chapter 8 involves Exercise 8.1, and Exercise 8.2. Students can refer to the section-wise topics that they will be studying in this chapter Quadrilaterals:

SectionTopics
8.1Introduction
8.2Angle Sum Property of a Quadrilateral
8.3Types of Quadrilaterals
8.4Properties of a Parallelogram
8.5Another Condition for a Quadrilateral to be a Parallelogram
8.6The Mid-point Theorem
8.7Summary

NCERT Solutions for Class 9 Maths Chapter 8: Download PDF

The NCERT Solutions for Class 9 Maths Chapter 8 are solved as per the CBSE marking scheme. Students can depend on NCERT Solutions for their board exam preparation and also they can prepare for competitive exams. Furthermore, students can download the CBSE Class 9 Maths Chapter 8 Solutions PDF from the images provided below or the link given later in this article, so that students can refer to the solutions online as well as offline.

CBSE Class 9 Maths Chapter 8 Solutions

NCERT Solutions Class 9 Maths Chapter 8: Solved Exercises

The best way to move forward with the NCERT Solutions is to try to practice from their own without referring to the NCERT Solutions. If students want to refer to the NCERT Questions without the internet then students can download the NCERT Solutions PDF from below. When students are not getting the answer only then refer to the solutions and find out where are students going wrong. This way students will put some effort into solving the questions and thus students will develop a good problem-solving ability.
We also recommend that students refer to NCERT Solutions before the final examination. This will help students with their revision. In a short amount of time, students will be able to revise all the concepts present in this chapter. Take the NCERT Questions seriously and try to solve them as quick as students can. In this way, students will also be able to prepare for competitive examinations like JEE Main, JEE Advanced and NTSE.

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CBSE NCERT Solutions for Class 9 Maths Chapter 8: Chapter Description

A quadrilateral is a closed figure with four different sides and four different angles. The sum of all the angles of the quadrilateral is 360 degrees. There are many types of quadrilateral: trapezium, parallelogram, square, rectangle, rhombus and a kite are all quadrilaterals. In this chapter, students will learn about various theorems on the quadrilateral. On the basis of these theorems, students will be able to solve various questions in this chapter.
Now that students have the NCERT Solutions and sample questions for Class 9 Maths Chapter 8, practice all the questions and improve their question-solving speed and accuracy. Download the PDF and solve the NCERT questions.

NCERT Solutions for Quadrilaterals: Important Questions

Below we have provided some of the important questions for CBSE Class 9 Maths Chapter 8:

Important Questions for CBSE Class 9 Maths Chapter 8

Q.1. In a rectangle, one diagonal is inclined to one of its sides at 45°. Measure the acute angle between the two diagonals.
Q.2. If one angle of a parallelogram is 180°, find all the angles of a parallelogram.
Q.3. PQRS is a rhombus with ∠PQR = 90°.  Determine ∠PRS.
Q.4. Name the diagonals whose quadrilateral are equal and bisect each other at 180°?
Q.5. In a trapezium PQRS, PQ∥RS. Calculate ∠R and ∠S if ∠P = 55° and ∠Q = 70°.
Q.6. The angles of a quadrilateral are in the ratio 5: 9: 13: 15. Find all the angles of the quadrilateral. 
Q.7. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
Q.8. Show that the diagonals of a square are equal and bisect each other at right angles.
Q.9. PQRS is a rectangle in which diagonal PR bisects ∠P as well as ∠R. Show that: 
(i) PQRS is a square 
(ii) Diagonal QS bisects ∠Q as well as ∠S.
Q.10. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square.

Now that students have been provided all the important information regarding NCERT Solutions for Class 9 Maths Chapter 8, Quadrilaterals, students can start practicing all the in-text questions of this chapter. students can also take the Quadrilaterals mock test at Embibe for free. Solving these questions will help students to gain a sound understanding of all the concepts. students can also download the subject-wise NCERT Class 9 textbooks at Embibe for free.

NCERT Solutions for Class 9 Maths (All Chapters)

CBSE Class 9 Maths Chapter 8 NCERT Summary

We are providing here the summary of Chapter 8 Quadrilaterals here. Write them down in their notes or take a printout of this. Keep them in front of students while studying this chapter to know the features and rules of Quadrilaterals. Following are the important points in NCERT textbook Class 9 for Maths Chapter 8:
1. Sum of the angles of a quadrilateral is 360°.
2. A diagonal of a parallelogram divides it into two congruent triangles.
3. In a parallelogram, (i) opposite sides are equal (ii) opposite angles are equal (iii) diagonals bisect each other.
4. A quadrilateral is a parallelogram, if (i) opposite sides are equal or (ii) opposite angles are equal or (iii) diagonals bisect each other or (iv)a pair of opposite sides is equal and parallel.
5. Diagonals of a rectangle bisect each other and are equal and vice-versa.
6. Diagonals of a rhombus bisect each other at right angles and vice-versa.
7. Diagonals of a square bisect each other at right angles and are equal, and vice-versa.
8. The line-segment joining the mid-points of any two sides of a triangle is parallel to the third side and is half of it.
9. A line through the midpoint of a side of a triangle parallel to another side bisects the third side.
10. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, in order, is a parallelogram.

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FAQs on NCERT Solutions for Class 9 Maths Chapter 8

Q1. What is the relation between Square, Rectangle, and Rhombus?
Ans: Square is a rectangle and rhombus. However, rhombus and rectangle are not squares.

Q2. What is the relation between a trapezium and a parallelogram?
Ans: A parallelogram is a trapezium. But a trapezium is not a parallelogram.

Q3. Why should I choose NCERT Solutions for Class 9 Maths Chapter 8 by Embibe?
Ans: The concepts are explained in simple language in the NCERT Solutions for Class 9 Chapter 8 by Embibe. The NCERT Solutions are prepared by a team of experts at Embibe with the goal of helping students enhance their exam preparation. It will also help students in finishing their homework. Moreover, if students are able to solve the NCERT In-text questions and exercises then students will be able to score good marks in the final examination.

Q4. Are the NCERT Solutions for Class 9 Maths Chapter 8 easy to understand?
Ans: The NCERT Solutions by Embibe will help students in understanding the chapter Quadrilateral better. Our NCERT Solutions for Class 9 Maths Chapter 8 have been explained in a step by step and detailed manner by our team of academic experts at Embibe. So that any class 9 student can understand NCERT Solutions for Class 9 Chapter 8.

Q5. What will I learn in NCERT Class 9 Maths Chapter 8?
Ans: In Chapter 8, students will learn about various theorems on the quadrilateral. A quadrilateral is a figure having four different sides and four different angles. The sum of all the angles of the quadrilateral is 360 degrees. There are many types of quadrilateral: trapezium, parallelogram, square, rectangle, rhombus and a kite are all quadrilaterals. On the basis of quadrilateral theorems, students will be able to solve various questions in this chapter.

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