In an earlier chapter of Class 9 Maths, the NCERT textbooks have already explained 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 NCERT book for Class 9 Maths Chapter 9, you will see that the focus is ongoing 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.

Meanwhile, to help you understand the concept of Area of Parallelograms and Triangles more thoroughly, we have also collected all the exercises of chapter 9 from the textbook and have explained the solutions in easy steps.

Learning maths can be quite tricky and scoring high marks in it needs you to be thorough with the subject. For this, you will need to solve a lot of exercises. You can now practice solving questions with the help of NCERT Solutions chapter-wise or exercise-wise solutions for Class 9 math problems that have been taken from the books, as per the NCERT syllabus and guidelines. The solutions give detailed and accurate answers to these questions, which has been created by our subject matter experts, who have tried to explain each concept in an easy to understand manner.

NCERT Solutions for Class 9 Maths Chapter 9 â€“ Area of Parallelograms and Triangles Exercise 9.1 helps you to score good marks and to face exams more confidently. You can also refer to the solutions to the questions from exercise 9.1 to see if you are successful in solving the problems.

### Download PDF of NCERT Solutions for Class 9 Maths Chapter 9 â€“ Area of Parallelograms and Triangles Exercise 9.1

### 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 Answer and 4 Long Type Answer

Exercise 9.4 Solutions 4 Short Type Answer, 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.**

Solution:

(i) Trapezium ABCD and Î”PDC lie on the same DC and in-between the same parallel lines AB and DC.

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

(iii) Parallelogram PQRS and Î”RTQ lie on the same base QR and in-between the same parallel lines QR and PS.

(iv) Parallelogram ABCD and Î”PQR 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 lies 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 helps you to:

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