# CBSE Class 9 Mathematics Euclids Geometry Worksheet Set A

Read and download free pdf of CBSE Class 9 Mathematics Euclids Geometry Worksheet Set A. Students and teachers of Class 9 Mathematics can get free printable Worksheets for Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 9 students should practice questions and answers given here for Mathematics in Class 9 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 9 Mathematics Worksheets prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

## Worksheet for Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry

Class 9 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 5 Introduction To Euclid's Geometry in Class 9. This test paper with questions and answers for Class 9 will be very useful for exams and help you to score good marks

### Class 9 Mathematics Worksheet for Chapter 5 Introduction To Euclid's Geometry

Euclids Geometry

1. Which of the following statements are true and which are false? Give reasons for your answers.

(i) Only one line can pass through a single point.

(ii) There are an infinite number of lines which pass through two distinct points.

(iii) A terminated line can be produced indefinitely on both the sides.

(iv) If two circles are equal, then their radii are equal. (v) In Fig. 5.9, if AB = PQ and PQ = XY, then AB = XY Solution: (i) False

There can be infinite number of lines that can be drawn through a single point. Hence, the statement mentioned is False

(ii) False Through two distinct points there can be only one line that can be drawn. Hence, the statement mentioned is False

(iii) True

A line that is terminated can be indefinitely produced on both sides as a line can be extended on both its sides infinitely. Hence, the statement mentioned is True.

(iv) True

The radii of two circles are equal when the two circles are equal. The circumference and the centre of both the circles coincide; and thus, the radius of the two circles should be equal. Hence, the statement mentioned is True.

(v) True According to Euclid’s 1st axiom- “Things which are equal to the same thing are also equal to one another”. Hence, the statement mentioned is True.

2. Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?

(i) parallel lines (ii) perpendicular lines (iii) line segment (iv) radius of a circle (v) square

Solution:

Yes, there are other terms which need to be defined first, they are: Plane: Flat surfaces in which geometric figures can be drawn are known are plane. A plane surface is a surface which lies evenly with the straight lines on itself.

Point: A dimensionless dot which is drawn on a plane surface is known as point. A point is that which has no part.

Line: A collection of points that has only length and no breadth is known as a line. And it can be extended on both directions. A line is breadth-less length.

(i) Parallel lines – Parallel lines are those lines which never intersect each other and are always at a constant distance perpendicular to each other. Parallel lines can be two or more lines.

(ii) Perpendicular lines – Perpendicular lines are those lines which intersect each other in a plane at right angles then the lines are said to be perpendicular to each other

(iii) Line Segment – When a line cannot be extended any further because of its two end points then the line is known as a line segment. A line segment has 2 end points.

(iv) Radius of circle – A radius of a circle is the line from any point on the circumference of the circle to the center of the circle.

(v) Square – A quadrilateral in which all the four sides are said to be equal and each of its internal angle is right angles is called square.

3. Consider two ‘postulates’ given below:

(i) Given any two distinct points A and B, there exists a third point C which is in between A and B.

(ii) There exist at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.

Solution:

Yes, these postulates contain undefined terms. Undefined terms in the postulates are:

– There are many points that lie in a plane. But, in the postulates given here, the position of the point C is not given, as of whether it lies on the line segment joining AB or not.

– On top of that, there is no information about whether the points are in same plane or not. And Yes, these postulates are consistent when we deal with these two situations:

– Point C is lying on the line segment AB in between A and B.

– Point C does not lie on the line segment AB. No, they don’t follow from Euclid’s postulates. They follow the axioms

Please click the below link to access CBSE Class 9 Mathematics Euclids Geometry Worksheet Set A

 CBSE Class 9 Mathematics Euclids Geometry Worksheet Set A CBSE Class 9 Mathematics Euclids Geometry Worksheet Set B

## More Study Material

### CBSE Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry Worksheet

We hope students liked the above worksheet for Chapter 5 Introduction To Euclid's Geometry designed as per the latest syllabus for Class 9 Mathematics released by CBSE. Students of Class 9 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 9 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Studiestoday is the best portal for Class 9 students to get all the latest study material free of cost.

### Worksheet for Mathematics CBSE Class 9 Chapter 5 Introduction To Euclid's Geometry

Expert teachers of studiestoday have referred to the NCERT book for Class 9 Mathematics to develop the Mathematics Class 9 worksheet. If you download the practice worksheet for one chapter daily, you will get higher and better marks in Class 9 exams this year as you will have stronger concepts. Daily questions practice of Mathematics worksheet and its study material will help students to have a stronger understanding of all concepts and also make them experts on all scoring topics. You can easily download and save all revision worksheet for Class 9 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 9 Mathematics designed by our teachers

#### Chapter 5 Introduction To Euclid's Geometry worksheet Mathematics CBSE Class 9

All worksheets given above for Class 9 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 9 can be rest assured that the answers have been also provided by our teachers for all worksheet of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 9 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 9 Mathematics students have been given on studiestoday.

#### Chapter 5 Introduction To Euclid's Geometry CBSE Class 9 Mathematics Worksheet

Regular worksheet practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 5 Introduction To Euclid's Geometry concepts. Worksheets play an important role in developing an understanding of Chapter 5 Introduction To Euclid's Geometry in CBSE Class 9. Students can download and save or print all the worksheets, printable assignments, and practice sheets of the above chapter in Class 9 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 9 Mathematics MCQ Test for the same chapter.

#### Worksheet for CBSE Mathematics Class 9 Chapter 5 Introduction To Euclid's Geometry

CBSE Class 9 Mathematics best textbooks have been used for writing the problems given in the above worksheet. If you have tests coming up then you should revise all concepts relating to Chapter 5 Introduction To Euclid's Geometry and then take out a print of the above worksheet and attempt all problems. We have also provided a lot of other Worksheets for Class 9 Mathematics which you can use to further make yourself better in Mathematics

Where can I download latest CBSE Printable worksheets for Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry

You can download the CBSE Printable worksheets for Class 9 Mathematics Chapter 5 Introduction To Euclid&#039;s Geometry for latest session from StudiesToday.com

Can I download the Printable worksheets of Chapter 5 Introduction To Euclid's Geometry Class 9 Mathematics in Pdf

Yes, you can click on the links above and download Printable worksheets in PDFs for Chapter 5 Introduction To Euclid&#039;s Geometry Class 9 for Mathematics

Are the Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry Printable worksheets available for the latest session

Yes, the Printable worksheets issued for Class 9 Mathematics Chapter 5 Introduction To Euclid&#039;s Geometry have been made available here for latest academic session

How can I download the Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry Printable worksheets

You can easily access the links above and download the Class 9 Printable worksheets Mathematics Chapter 5 Introduction To Euclid&#039;s Geometry for each chapter

Is there any charge for the Printable worksheets for Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry

There is no charge for the Printable worksheets for Class 9 CBSE Mathematics Chapter 5 Introduction To Euclid&#039;s Geometry you can download everything free

How can I improve my scores by solving questions given in Printable worksheets in Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry

Regular revision of practice worksheets given on studiestoday for Class 9 subject Mathematics Chapter 5 Introduction To Euclid&#039;s Geometry can help you to score better marks in exams

Are there any websites that offer free test sheets for Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry

Yes, studiestoday.com provides all latest NCERT Chapter 5 Introduction To Euclid&#039;s Geometry Class 9 Mathematics test sheets with answers based on the latest books for the current academic session

Can test papers for Class 9 Mathematics Chapter 5 Introduction To Euclid's Geometry be accessed on mobile devices

Yes, studiestoday provides worksheets in Pdf for Chapter 5 Introduction To Euclid&#039;s Geometry Class 9 Mathematics in mobile-friendly format and can be accessed on smartphones and tablets.

Are worksheets for Chapter 5 Introduction To Euclid's Geometry Class 9 Mathematics available in multiple languages

Yes, worksheets for Chapter 5 Introduction To Euclid&#039;s Geometry Class 9 Mathematics are available in multiple languages, including English, Hindi