RD Sharma Class 9 Maths Introduction to Euclid's Geometry Solutions - Free PDF Download
FAQs on RD Sharma Solutions for Class 9 Maths Chapter 7 - Introduction to Euclid's Geometry
1. What are the postulates proposed by Euclid as discussed in chapter 7 of class 9 RD Sharma Maths book?
Five postulates were proposed by Euclid. The following are Euclid's five postulates:
Any point can be joined to any other point to form a straight line.
It is possible to make a terminated line endlessly.
A circle with any radius and any center can be drawn.
All right angles are the same size.
If a straight line falls on two straight lines and the interior angles on the same side are less than two right angles when added together, the two straight lines will meet on the side where the sum of angles is less than two right angles if produced endlessly.
2. Following the concepts of chapter 7 of class 9 Maths RD Sharma book, what is the result of proving Euclid's fifth postulate?
Euclid's fifth postulate has two other equivalent versions:
There is a unique line m that passes through point P and is parallel to line l for every line l and every point P that is not on the line.
Two intersecting lines that are not parallel to one other cannot be the same line.
Attempts to prove Euclid's fifth postulate using the previous four postulates were unsuccessful. However, this led to the discovery of non-Euclidean geometries, which are different from Euclidean geometries. Spherical geometry is another name for non-Euclidean geometry. Lines are not straight in spherical geometry. They are a part of a larger circle.
Only figures in the plane are valid in Euclidean geometry. It doesn't work on curved surfaces.
3. What is meant by Euclid’s geometry as discussed in chapter 7 of class 9 Maths RD Sharma book?
Geometry is derived from the Greek terms 'Geo', which means 'Earth,' and 'Metre,' which means 'to measure.' Geometry was first proposed by the Greek mathematician Euclid, who proposed various postulates and axioms that characterized the relationship and qualities of solid and planar shapes. Euclidean Geometry is the name given to this type of geometry. Euclidean geometry is based on Euclid's 'Elements,' a 13-part mathematical and geometrical work that explains the axioms and postulates.
4. Are the RD Sharma Solutions for Class 9 Maths Chapter 7 - Introduction to Euclid’s Geometry available on Vedantu?
Yes, the answers to Chapter 7 of Class 9 Maths may be found on Vedantu. You will discover the best possible explanations for this chapter here, as well as all of your RD Solutions for your exercises in PDF format, which is completely free to download and study from even while you are offline. This is why:
Pay a visit to Vedantu. Click on Free study material download.
Select RD Sharma solutions under Popular book solutions.
You can choose class 9 solutions and then select chapter 7.
Then, click on the ‘Download PDF’ option to download a PDF file.
You will get a PDF with all the required solutions in a detailed structured way.
5. How to prepare for Class 9 Maths Chapter 7 - Introduction to Euclid’s Geometry?
Students need to be thorough with the fundamentals of Class 9 Chapter 7 - Introduction to Euclid’s Geometry to be well versed with the lesson. Students can garner further knowledge only if they have a strong foundation in the lesson. Students should be well versed with basic concepts such as Euclid’s five postulates, axioms, Pythagoras, solids, surface, curve/line and point. Students should also refer to the Vedantu app and website for free study materials which helps in solving chapter 7 problems. Students should also solve the sample papers from the chapter, Introduction to Euclid’s Geometry.
