NCERT Solutions for Class 9 Maths Chapter 9 - Area of Parallelograms and Triangles Exercise 9.1

*According to the latest update on NCERT Syllabus 2023-24, this chapter has been removed.

It has already been explained in an earlier chapter of the Class 9 Maths NCERT textbook how the study of Geometry originated with the measurement of the earth (lands) in the process of recasting the boundaries of the fields and dividing them into appropriate parts. And, at the same time, in the NCERT Solutions for Class 9 Maths Chapter 9, you will see that the focus is on going in-depth about the concepts of Geometry and also having a relook into the area of plane figures, a topic that you have learnt in your earlier classes.

To help you understand the concept of the Area of Parallelograms and Triangles more thoroughly, we have collected all the exercise questions from Chapter 9 and have explained the solutions in easy steps.

Learning Maths can be quite tricky, and to score high marks, you need to be thorough with the concepts and topics. For this, you will need to solve a lot of exercise questions. You can now practise solving questions with the help of the NCERT Solutions chapter-wise or exercise-wise for Class 9 Maths, prepared as per the NCERT textbook and syllabus. The solutions give detailed and accurate answers to these questions, which have been created by subject-matter experts at BYJU’S, who have explained each concept in an easy-to-understand manner.

NCERT Solutions for Class 9 Maths Chapter 9 – Area of Parallelograms and Triangles Exercise 9.1 will help you to face the annual exam more confidently and thus score good marks. You can also refer to the solutions to the questions from Exercise 9.1 to check if you are successful in solving the problems.

NCERT Solutions for Class 9 Maths Chapter 9 – Area of Parallelograms and Triangles Exercise 9.1

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Access Answers to NCERT Class 9 Maths Chapter 9 – Area of Parallelograms and Triangles Exercise 9.1

Access Other Exercise Solutions of Class 9 Maths Chapter 9 – Area of Parallelogram and Triangles

Exercise 9.2 Solutions 5 Short Type Answers and 1 Long Type Answer

Exercise 9.3 Solutions 12 Short Type Answers and 4 Long Type Answers

Exercise 9.4 Solutions 4 Short Type Answers, 1 Long Type Answer and 3 Very Long Type Answers

NCERT Solutions for Class 9 Maths Chapter 9 – Area of Parallelograms and Triangles Exercise 9.1

1. Which of the following figures lie on the same base and in between the same parallels? In such a case, write the common base and the two parallels.

Ncert solutions class 9 chapter 9-1

Solution:

(i) Trapezium ABCD and ΔPDC lie on the same DC and in between the same parallel lines AB and DC.

(ii) Parallelogram PQRS and trapezium SMNR lie on the same base SR but not in between the same parallel lines.

(iii) Parallelogram PQRS and ΔRTQ lie on the same base QR and in between the same parallel lines QR and PS.

(iv) Parallelogram ABCD and ΔPQR do not lie on the same base but in between the same parallel lines BC and AD.

(v) Quadrilateral ABQD and trapezium APCD lie on the same base AD and in between the same parallel lines AD and BQ.

(vi) Parallelogram PQRS and parallelogram ABCD do not lie on the same base SR but in between the same parallel lines SR and PQ.


In Exercise 9.1 from Chapter 9 of NCERT Solutions for Class 9 Maths, you can find one short answer question, which you are required to substantiate with reasons. In question number 1, you are asked to identify from the given figures which lie on the same base and between the same parallels. You are also expected to write the common base and the two parallels.

Solving these solutions will help you in the following:

  • Prepare well for the exams
  • Self-assess your knowledge gap
  • Gain more practice in solving questions
  • Get an overview of the exam pattern
  • Know the question type to be expected from the chapter

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