Find the best tutors and institutes for Class 10 Tuition
Introduction to Euclid’s Geometry EXERCISE 5.1 Solutions
- Q1(i): 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.
- Q1(ii): Which of the following statements are true and which are false? Give reasons for your answers. (ii) There are an infinite number of lines which pass through two distinct points.
- Q1(iii): Which of the following statements are true and which are false? Give reasons for your answers. (iii) A terminated line can be produced indefinitely on both the sides.
- Q1(iv): Which of the following statements are true and which are false? Give reasons for your answers. (iv) If two circles are equal, then their radii are equal.
- Q1(v): Which of the following statements are true and which are false? Give reasons for your answers. (v) In Fig. 5.9, if $AB = PQ$ and $PQ = XY$, then $AB = X
- Q2(i): 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
- Q2(ii): 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? (ii) perpendicular lines
- Q2(iii): 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? (iii) line segment
- Q2(iv): 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? (iv) radius of a circle
- Q2(v): 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? (v) square
- Q3: 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.
- Q4: If a point $C$ lies between two points $A$ and $B$ such that $AC = BC$, then prove that $AC = \frac{1}{2}AB$. Explain by drawing the figure.
- Q5: In Question 4, point $C$ is called a mid-point of line segment $AB$. Prove that every line segment has one and only one mid-point.
- Q6: In Fig. 5.10, if $AC = BD$, then prove that $AB = CD$.
- Q7: Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the question is not about the fifth postulate.)
Chapters in CBSE - Class 9 Mathematics
Top Tutors who teach Introduction to Euclid’s Geometry
Top Tutor 
Govindpuri Shiva Colony, Jaipur 
10 yrs of Exp 
23 students 
1476 hrs of classes completed 
500 per hour 
Online Classes 
Tutor's home I am a teacher of mathematics. I am giving online tuitions and tuitions at my home in Jaipur(Rajasthan). I have done M.Sc. , B.Ed. in mathematics. I have experience of 10 years of teaching mathematics , Vedic Mathematics and Olymiads.
I Shivani. N feel the class handled by Rohit Sir is a lively, interactive and also class room teaching experience with individual attention. I am looking forward to take weekly tests after which I will share my feed back on it. Thank you Sir.
Super Tutor Itagalpura Main Rd, Madappanahalli 17 yrs of Exp 133 students 3628 hrs of classes completed 500 per hour Online Classes I gained extensive experience in delivering high-quality education following the CBSE/ICSE curriculum. My key responsibilities included: Classroom Teaching: Effectively taught Mathematics, Physics and Chemistry to students of classesX, ensuring alignment with the CBSE/ ICSE syllabus and fostering a deep understanding of key concepts. Curriculum Planning: Designed and implemented lesson plans that adhered to the CBSE guidelines, ensuring comprehensive coverage of topics while keeping in mind the varying learning needs of students. Student Assessment: Created and administered tests, quizzes, and assignments in accordance with the CBSE exam pattern. Monitored student performance and provided constructive feedback to facilitate continuous improvement. Interactive Learning: Encouraged an interactive classroom environment, integrating various teaching aids such as multimedia presentations, hands-on activities, and group discussions to enhance student engagement and understanding. Preparation for Board Exams: Provided focused support for students appearing for their CBSE/ICSE board exams by conducting regular revision sessions, mock tests, and personalized guidance to help them excel. Parental Communication: Maintained regular communication with parents regarding student progress, attendance, and overall development. Organized parent-teacher meetings to ensure a collaborative approach to student growth. Co-curricular Involvement: Actively participated in school events, projects, and extracurricular activities, fostering holistic development among students. Professional Development: Engaged in continuous professional development through workshops and CBSE training programs to stay updated with the latest educational practices and policies.
I have approached Sai sir for my daughter Maths tuition. The way you are interacting with student making learning so interesting and explaining everything was just outstanding. Your support and encouragement have given me the confidence.Thank you so much sir for your patience. Your teaching skills are very unique so that any student can easily grasp and enjoy learning.
Top Tutor Vesu, Surat 20 yrs of Exp 18 students 1269 hrs of classes completed 500 per hour Online Classes I have experience teaching Mathematics to Grade 10 students with a focus on strengthening fundamental concepts and preparing them for board examinations. I teach important topics such as Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Trigonometry, Coordinate Geometry, Statistics, and Probability. My teaching approach involves explaining concepts clearly, solving problems step by step, and giving regular practice from NCERT and previous years’ board exam papers. I also conduct tests, revision classes, and doubt-clearing sessions to track students’ progress. My goal is to make mathematics simple and interesting while helping students build confidence and achieve good results in their Grade 10 board exams.
Very good teacher. Patient with the students and understands where they are confused quickly. Motivates the students to be better too.
Super Tutor Pandri, Raipur 4 yrs of Exp 10 students 2644 hrs of classes completed 575 per hour Online Classes Hello, my name is Atulya Kumar. I have completed my studies at IIT(ISM)_Dhanbad and I am currently pursuing a PhD at NIT-Rourkela. With a degree in engineering, I am dedicated to teaching. Since 2019, I have been teaching physics to JEE, NEET, and Class XI & XII board students. I take great pride in sharing that my students have achieved exceptional results, with some clearing NEET 2022 with an AIR of 2513 and NEET 2023 with an AIR of 1702. Additionally, many of my students have scored above the 98th percentile in JEE Mains 2023. Teaching physics is a personal challenge for me. I strive to create a comfortable learning environment where students can fully grasp the concepts and apply them effectively during examinations, resulting in excellent marks and ranks.
Top Tutor Mira Road East, Mumbai 20 yrs of Exp 11 students 350 per hour Online Classes 
Student's Home Tutor's home 25 years of private teaching experience in maths and science at Mumbai western line.
Find more Tutor for Introduction to Euclid’s Geometry in your City
- Bangalore Mathematics Tutors
- Delhi Mathematics Tutors
- Chennai Mathematics Tutors
- Gurgaon Mathematics Tutors
- Noida Mathematics Tutors
- Hyderabad Mathematics Tutors
- Mumbai Mathematics Tutors
- Ghaziabad Mathematics Tutors
- Chandigarh Mathematics Tutors
- Pune Mathematics Tutors
- Jaipur Mathematics Tutors
- Surat Mathematics Tutors
Download free CBSE - Class 9 Mathematics Introduction to Euclid’s Geometry EXERCISE 5.1 worksheets
Download Now
