Define parallel lines class 9

Free PDF download of Important Questions with solutions for CBSE Class 9 Maths Chapter 5 - Introduction to Euclids Geometry prepared by expert Mathematics teachers from latest edition of Download CBSE Class 9 Maths Important Questions 2023-24 PDF Also, check CBSE Class 9 Maths Important Questions for other chapters: CBSE Class 9 Maths Important Questions Sl.No Chapter No Chapter Name 1 Chapter 1 Number Systems 2 Chapter 2 Polynomials 3 Chapter 3 Coordinate Geometry 4 Chapter 4 Linear Equations in Two Variables 5 Chapter 5 Introduction to Euclid's Geometry 6 Chapter 6 Lines and Angles 7 Chapter 7 Triangles 8 Chapter 8 Quadrilaterals 9 Chapter 9 Areas of Parallelograms and Triangles 10 Chapter 10 Circles 11 Chapter 11 Constructions 12 Chapter 12 Heron’s Formula 13 Chapter 13 Surface Areas and Volumes 14 Chapter 14 Statistics 15 Chapter 15 Probability Extra Question For Practice: Do It Yourself Short Answer Questions (3 Marks) 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. Ans: False Correct statement: Infinite many lines can pass through a single point. This is self-evident and can be seen visually by the student given below: (Image will be uploaded soon) (ii) There are infinite number of lines which pass through two distinct points. Ans: False The given statement contradicts the postulate $)$ An axiom of the Euclid says that "Things which are equal to the same thing are equ...

Properties of Parallel Lines Before talking about lines that are parallel to the same line, let us recall what parallel lines are. Non-intersecting or parallel lines are the lines that do not intersect each other. They are always at the same distance from one another. Hence, they never meet. Say you are given a line A that is parallel to a line. There is another line B which is parallel to the same line. Does this imply that lines A and B are parallel to each other? We will discuss it in this article. Lines Parallel to the Same Line To check whether a and line c are parallel to line b. Since a || b, so ∠1 = ∠2                                (Corresponding angles axiom) Since c || b, so ∠3 = ∠2                                (Corresponding angles axiom) Therefore, ∠1 = ∠3                     (Commutative property) But ∠1 and ∠3 are corresponding angles and they are equal. So by the converse of corresponding angles axiom, it can be deduced that a || c. Parallel Lines: Theorem • The lines which are parallel to the same line are parallel to each other as well. • This property holds good for more than 2 lines also. Example In the following figure, m, n, and l are parallel lines. And AB is parallel to CD. Find the value of angle x using the given angles. Solution: Since m || l, ∠CGI = 120°                 (Corresponding angles) ∠FGC = 180° – 120° = 60°   ...

Parallel lines are lines that never intersect, and they form the same angle when they cross another line. Perpendicular lines intersect at a 90-degree angle, forming a square corner. We can identify these lines using angles and symbols in diagrams. Created by Sal Khan and Monterey Institute for Technology and Education. Are there parallel lines in reality? I mean, each time I draw parallel lines I'm doing my best to make them look like they would never intersect however you extend them on both of their ends, but I think because of many factors when I'm drawing parallel lines (e.g a little shaky hands, bumpy edge of the ruler, soft surface of the paper), the lines aren't really parallel, they will actually intersect at some point when you extend them. Do machines also have a very slight error when creating parallel lines? What about computers? Are they really good at processing graphics they are able to create perfectly parallel lines? Do parallel lines only exist in concept? Computers can because they have rows of pixels that are perfectly straight. It's not possible to draw two perfectly parallel lines, just as it isn't possible to draw a perfect circle. So yeah, parallel lines exist, but perfectly replicating them is pretty hard and can't be perfectly recreated by humans. Although I'm not exactly sure what you are asking I will explain how Lines, Line Segments, and Rays work. Lines are well lines and do not have any endpoints and are basically infinite. Line segments are...