NCERT Solutions for Class 7 Maths Practical Geometry - Chapter 10 PDF Download
FAQs on NCERT Solutions for Class 7 Maths Chapter 10 - Practical Geometry
1. What are the constructions covered in the Class 7 Maths Chapter 10 Practical geometry?
The concepts covered in the Class 7 Maths Chapter 10 Practical geometry include:
Construction of a Line Parallel To a Given Line, Through a Point Not on The Line
Construction of Triangle
Constructing a Triangle When the Lengths of its Three Sides are Known (SSS Criterion)
Constructing a Triangle When the Lengths of Two Sides And The Measure of The Angle Between Them Are Known (SAS Criterion)
Constructing a Triangle When The Measures of Two of Its Angles and The Length of The Side Inclined Between Them Is Given (ASA Criterion)
Constructing a Right-Angled Triangle When The Length of One Leg and Its Hypotenuse are Given (RHS Criterion)
2. Construct ΔABC such that AB = 12.5 cm, BC = 16 cm and AC = 16.5 cm. Measure ∠B.
The steps to construct the triangle is as follows:
Draw a line segment BC = 16 cm.
With B as a centre and radius 12.5 cm, draw an arc.
With C as a centre and radius 16.5 cm, draw another arc, cutting the previous arc at A.
Join AB and AC.
Then, ΔABC is the required triangle.
When we will measure the angle B of the triangle by protractor, then the angle is equal to ∠B = 800.
3. Construct ΔPQR if PQ = 5 cm, m∠PQR = 105o and m∠QRP = 40o.
We know that the sum of the angles of a triangle is 180°.
∴ ∠PQR + ∠QRP + ∠RPQ = 180°
= 105°+ 40°+ ∠RPQ = 180°
= 145° + ∠RPQ = 180°
= ∠RPQ = 180° – 145°
= ∠RPQ = 35°
Hence, the measure of ∠RPQ is 35°.
Steps of construction:
Draw a line segment PQ = 15 cm.
At point P, draw a ray L to making an angle of 105° i.e. ∠LPQ = 105°.
At point Q, draw a ray M to making an angle of 40° i.e. ∠MQP = 40°.
Now the two rays PL and QM intersect at the point R.
Then, ΔPQR is the required triangle.
4. What are the tips to perform better in practical geometry?
The tips to perform better in practical geometry are as given below:
Ensure that the tip of the pencil used to draw lines is very sharp.
Avoid drawing thick lines as much as possible. Draw dark lines but not thick lines.
Ensure the size of the pencil used in a compass is small to avoid miscalculation.
Make sure all the angles marked in the protractor as well as the scale are clear to get exact calculations.
Mark all the angles and sides clearly for better results.
While writing proofs, ensure all the related theorems are specified to support your proof.
Make sure the proofs have three parts - given data, theorems and proofs, conclusion statement.
5. What is Chapter 10 of Class 7 Maths textbook about?
The title of Chapter 10 of the Class 7 textbook is Practical Geometry. It helps you to apply the principles or formulas of geometry that you have learned. The Chapter explains all the basics of simple language. After learning this chapter, you will be able to use alternate and corresponding angles to draw parallels, construct a triangle when only one side is given. You will be able to apply the principles of Geometry that you had studied in the previous Chapter.
6. Is Chapter 10 of Class 7 Maths textbook easy?
The Chapter Practical Geometry is easy to the extent that your basics are clear. You have worked hard to build a strong foundation in geometry. Suppose you are familiar with the various principles you had studied in the previous chapter of the textbook. In that case, you will be able to deal with the Chapter. But if your basics are not clear, it is not too late to work on them. Having a stronghold over the Geometry section will pay you dividends in the exam.
7. How many questions should I practice in Chapter 10 of Class 7 Maths textbook?
Geometry is one of the most entertaining, fun to experiment with, and scoring sections of Maths. If your basics are clear and you understand how you can apply the principles to various questions. In that case, you will be able to answer all the questions in the exam correctly and easily. There is no limit to the number of questions you can practice to score well in Maths. You must be confident that you understand the concepts and practice a fair share of various questions.
8. Is Chapter 10 of Class 7 Maths important for scoring more than 90 marks?
Every chapter has a certain weightage, and questions from every chapter will be featured in the exam. Some chapters are more important than others. Chapter 10 is important because it teaches you how to apply the principles of Geometry. Chapter 10 also plays a crucial role in strengthening your foundation for higher classes. You can easily expect that multiple questions from the chapter will be asked. However, the chapter is easy and fun.
9. Where can I find solutions for Chapter 10 of Class 7 Maths?
If you are looking for a good website that offers you solutions in a step-by-step format, Vedantu is the solution. Vedantu’s NCERT Solutions for Chapter 10 of Class 7 Maths are prepared by subject matter experts who have years of experience. These solutions are written in easy-to-understand language to help you understand the concept and prepare you for the exams. These solutions are based on the latest CBSE guidelines and exam patterns, enabling you to score high marks. The PDF of NCERT Solutions are available free of cost on the Vedantu website and the Vedantu app.