# NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry (EX 10.1) Exercise 10.1

Mathematics is purely based on concepts and requires a considerable amount of practice. Students must understand the basics of the curriculum to achieve good grades. It is not just a subject, but also the foundation for many scientific theories and subjects. Class 7 Mathematics involves a wide range of concepts, therefore, it is sometimes challenging for learners to have a good command of all the concepts in the subject’s curriculum.In mathematics, students’ scores are primarily determined by the amount of practise they put in. To have a thorough understanding of Chapter 10 Practical Geometry, Extramarks provides students with NCERT Class 7 Maths Chapter 10 Exercise 10.1 Solutions To the Ex 10.1 Class 7. It is important to learn the NCERT Textbook by heart to build strong mathematics fundamentals. To help students achieve their academic goals and attain success in the Class 7 examinations, Extramarks provides them with the Class 7 Maths Chapter 10 Exercise 10.1 Solutions. Class 7 students learn the basic concepts of every subject in this academic session, so they should be very careful with their academics. The Extramarks e-learning platform provides learners with all the resources they need to succeed in their academic careers. Therefore, the learning website provides them with Class 7 Maths Ch 10 Ex 10.1.

## NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry (EX 10.1) Exercise 10.1

Many students find Mathematics intimidating. To prepare for the Class 7 Mathematics examination, young learners must thoroughly review the NCERT curriculum. In NCERT textbooks, however, the answers to the questions are not included. Therefore, Extramarks provides students with the Maths Class 7 Chapter 10 Exercise 10.1 to assist them in preparing for their examinations. Extramarks’ solutions assist students in understanding each step of the solution, as well as the logic and concept behind it.

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### Access NCERT Solutions for Class 7 Chapter 10- Practical Geometry

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### NCERT Solutions for Class 7 Maths Chapter 10 Practical Geometry Exercise 10.1

The NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1 involves the construction of a parallel line to a given line, through a point not on this line, using a ruler and a compass only. The exercise also involves the construction of a parallel line to a given line through a perpendicular at a given distance. Students may find it difficult to understand the logic behind the solutions of this exercise. Practical Geometry is one of the more complicated chapters of the curriculum of Class 7, so learners should be very careful when going through the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1. Students of Class 7 must be thorough with the NCERT curriculum. This is the first step in building and clarifying their fundamentals and basic concepts. Credible NCERT solutions should be available to students so that they do not have to waste their time searching for them.

Q.1 Draw a line, say AB, take a point C outside it. Through C, draw a line parallel to AB using ruler and compasses only.

Ans.

$\begin{array}{l}\text{The steps of construction are as follows:}\\ \text{(i) Draw a line AB}\text{. Take a point P on it}\text{. Take a point C outside}\\ \text{this line}\text{. Join C to P}\text{.}\end{array}$

$\text{(ii) Taking P as centre and with a convenient radius, draw arc intersecting line AB}\phantom{\rule{0ex}{0ex}}\text{at point D and PC at point E}\text{.}$

$\text{(iii) Taking C as centre and with the same radius as before, draw an arc FG intersecting PC at H}\text{.}$

$\begin{array}{l}\text{(iv) Adjust the compasses up to the length of DE}\text{. Without}\\ \text{changing the opening of the compasses and taking H as the}\\ \text{cenre, draw an arc to intersect the previously draw arc}\\ \text{FG at po}\mathrm{int}\text{I}\text{.}\end{array}$

$\text{(v) Join the points C and I to draw a line}l.$

$\text{This is the required line which is parallel to AB}\text{.}$

Q.2

$\begin{array}{l}\mathrm{Draw}\mathrm{a}\mathrm{line}\mathrm{l}.\mathrm{Draw}\mathrm{a}\mathrm{perpendicular}\mathrm{to}\mathrm{l}\mathrm{at}\mathrm{any}\mathrm{point}\mathrm{on}\mathrm{l}.\\ \mathrm{On}\mathrm{this}\mathrm{perpendicular}\mathrm{choose}\mathrm{a}\mathrm{point}\mathrm{X},4\mathrm{cm}\mathrm{away}\mathrm{from}\mathrm{l}.\\ \mathrm{Through}\mathrm{X},\mathrm{draw}\mathrm{a}\mathrm{line}\mathrm{m}\mathrm{parallel}\mathrm{to}\mathrm{l}.\end{array}$

Ans.

$\begin{array}{l}\text{The steps of construction are as follows:}\\ \text{(i) Draw a line}l\text{and take a point P on the line}l\text{. Then draw a}\\ \text{perpendicular at point P}\text{.}\end{array}$

$\begin{array}{l}\text{(ii) Adjusting the compasses up to the length of 4 cm, draw an}\\ \text{arc to intersect this perpendicular at point X}\text{. Choose any point}\\ \text{Y on the line}l\text{. Join X to Y}\text{.}\end{array}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{(iii) Taking Y as centre and with a convenient radius, draw}\\ \text{an arc intersecting}l\text{at A and XY at B}\text{.}\end{array}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{(iv) Taking X as centre and with same radius as before, draw}\\ \text{an arc CD cutting XY at E}\text{.}\end{array}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{(v) Adjust the compasses upto the length of AB}\text{. Wothout}\\ \text{changing the opening of the compasses and taking E as the}\\ \text{centre, draw an arc intersecting the previous arc CD t F}\text{.}\end{array}$ $\text{}$

$\text{(vi) Join the point X and F to draw a line}m\text{.}$ $\text{Line}m\text{is the required line parallel to}l\text{.}$

Q.3

$\begin{array}{l}\mathrm{Let}\mathrm{l}\mathrm{be}\mathrm{a}\mathrm{line}\mathrm{and}\mathrm{P}\mathrm{be}\mathrm{a}\mathrm{point}\mathrm{not}\mathrm{on}\mathrm{l}.\mathrm{Through}\mathrm{P},\mathrm{draw}\\ \mathrm{a}\mathrm{line}\mathrm{m}\mathrm{parallel}\mathrm{to}\mathrm{l}.\mathrm{Now}\mathrm{join}\mathrm{P}\mathrm{to}\mathrm{any}\mathrm{point}\mathrm{Q}\mathrm{on}\mathrm{l}.\mathrm{Choose}\\ \mathrm{any}\mathrm{other}\mathrm{point}\mathrm{R}\mathrm{on}\mathrm{m}.\mathrm{Through}\mathrm{R},\mathrm{draw}\mathrm{a}\mathrm{line}\mathrm{parallel}\mathrm{to}\mathrm{PQ}.\\ \mathrm{Let}\mathrm{this}\mathrm{meet}\mathrm{l}\mathrm{at}\mathrm{S}.\mathrm{What}\mathrm{shape}\mathrm{do}\mathrm{the}\mathrm{two}\mathrm{sets}\mathrm{of}\mathrm{parallel}\\ \mathrm{lines}\mathrm{enclose}?\end{array}$

Ans.

$\begin{array}{l}\text{The steps of construction are as follows:}\\ \text{(i) Draw a line l and take a point A}\text{​}\text{on it}\text{. Take a point P not}\\ \text{on}l\text{and join A to P}\text{.}\end{array}$

$\begin{array}{l}\text{(ii) Taking A as centre and with a convenient radius, draw an}\\ \text{arc cutting}l\text{at B and AP at C}\text{.}\end{array}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{(iii) Taking P as centre and with the same radius as before,}\\ \text{draw an arc DE to intersect AP at F}\text{.}\end{array}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{(iv) Adust the compasses up to the length of BC}\text{. Without}\\ \text{changing the opening of compasses and taking F as the}\\ \text{centre, draw an arc to intersect the previously draw arc}\\ \text{DE at point G}\text{.}\end{array}$

$\text{(v) Join P to G to draw a line m}\text{. Line}m\text{will be parallel to line}l\text{.}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{(vi) Join P to any point Q on line}\text{. Choose another point R on}\\ \text{line}m\text{. Similarly, a line can be drawn through point R and}\\ \text{parallel to PQ}\text{.}\end{array}$ $\begin{array}{l}\text{}\end{array}$

$\begin{array}{l}\text{Let it meet line}l\text{at point S}\text{. In quadrilateral PQRS, opposite}\\ \text{lines are parallel to each other}\text{. PQ}\parallel \text{RS and PR}\parallel \text{QS}\text{.}\\ \text{Thus PQRS is a parallelogram}\text{.}\end{array}$

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### 1. Are the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1 difficult?

No, the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1 provided by the Extramarks website are not difficult for students. Subject experts at Extramarks present these solutions in a very straightforward and easy-to-understand manner. These solutions are well-structured, and well-explained so that students can easily understand the basics behind the concepts of the chapter.

### 2. Is it necessary to practice all the questions of the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1?

Yes, students should practice all the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1 as these solutions assist them in building strong fundamentals of the subject’s curriculum. In addition, practising them provides learners with a steady pace and increases their efficiency. Every question of the exercise helps students in improving their construction skills and builds their confidence so that they may avoid small mistakes that occur while solving the problems in the examination.

### 3. How can students clear their doubts about the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1?

Students can refer to the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1 provided by Extramarks to resolve their queries related to the exercise. Moreover, they can subscribe to Extramarks to have access to live doubt-solving sessions, K12 live classes, and expert teachers’ guidance to help them clear all their doubts and achieve academic success.

### 4. Where can students find the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1?

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### 5. How can students prepare for the Class 7 Mathematics examination?

The first and foremost step that students must take for the preparation of their Class 7 Mathematics examination is to thoroughly go through the NCERT Solutions Class 7 Maths Chapter 10 Exercise 10.1. After that, they should review the curriculum’s important questions, extra questions, and revision notes. Thus, students can determine their preparation level and their strong and weak areas of the curriculum. These tools highlight the key points of the chapter, and they are extremely useful for students who need to revise quickly. Furthermore, they should review past years’ papers and sample papers on the subject. During this process, students will develop a strong conceptual understanding of the subject and be able to solve any complicated problems that may arise during their examinations. Students can also benefit by practising sample papers and past years’ papers to get a better understanding of the examination pattern, which will help them avoid last-minute challenges and perform better in their examinations.