RD Sharma Solutions Class 9 Maths Chapter 9 – Triangle And Its Angles (Updated for 2021-22)

RD Sharma Solutions Class 9 Maths Chapter 9 – Triangle And Its Angles: With RD Sharma Solutions for Class 9 Maths on triangles and its angles, students get a clear understanding of how the solutions are derived for the triangle and its angles exercises. RD Sharma Solutions Class 9 Maths for Chapter 9  is an ideal companion for your study to score well in your exams.

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RD Sharma Solutions Class 9 Maths Chapter 9

Exercise-wise: RD Sharma Solutions Class 9 Maths Chapter 9

RD Shama Solutions Class 9 Chapter 9 Exercise 9.1

RD Shama Solutions Class 9 Chapter 9 Exercise 9.2

Access answers of RD Sharma Solutions Class 9 Maths Chapter 9

RD Sharma Solutions Class 9 Chapter 9 Triangle and its Angles

Question 1.
Define the following tenns :
(i) Line segment
(ii) Collinear points
(iii) Parallel lines
(iv) Intersecting lines
(v) Concurrent lines
(vi) Ray
(vii) Half-line.
Solution:
(i) A line segment is a part of a line which lies between two points on it and it is denoted as AB¯¯¯¯¯¯¯¯   or only by AB. It has two end points and is measureable.

(ii) Three or more points which lie on the same straight line, are called collinear points.
(iii) Two lines which do not intersect each other at any point are called parallel lines.
(iv) If two lines have one point in common, are called intersecting lines.
(v) If two or more lines which pass through a common point are called concurrent lines.
(vi) Ray : A part of a line which has one end point.
(vii) Half line : If A, B, C, be the points on a line l, such that A lies between B and C and we delete the point from line l, two parts of l that remain are each called a half-line.

Question 2.
(i) How many lines can pass through a given point?
(ii) In how many points can two distinct lines at the most intersect?
Solution:
(i) Infinitely many lines can pass through a given point.
(ii) Two distinct lines at the most intersect at one point.

Question 3.
(i) Given two points P and Q, find how many line segments do they determine?
(ii) Name the line segments determined by the three collinear points P, Q and R.
Solution:
(i) Only one line segment can be drawn through two given points P and Q.
(ii) Three collinear points P, Q and R, three lines segments determine : PQ¯¯¯¯¯¯¯¯ , QR¯¯¯¯¯¯¯¯  and PR¯¯¯¯¯¯¯¯ .

Question 4.
Write the truth value (T/F) of each of the following statements:
(i) Two lines intersect in a point.
(ii) Two lines may intersect in two points.
(iii) A segment has no length.
(iv) Two distinct points always determine a line.
(v) Every ray has a finite length.
(vi) A ray has one end-point only.
(vii) A segment has one end-point only.
(viii) The ray AB is same as ray BA.
(ix) Only a single line may pass through a given point.
(x) Two lines are coincident if they have only one point in common.
Solution:
(i)  False : As two lines do not intersect also any a point.
(ii) False : Two lines intersect at the most one point.
(iii) False : A line segment has definitely length.
(iv) True.
(v) False : Every ray has no definite length.
(vi) True.
(vii) False : A segment has two end point.
(viii)False : Rays AB and BA are two different rays.
(ix) False : Through a given point, infinitely many lines can pass.
(x) False : Two lines are coincident of each and every points coincide each other.

Question 5.
In the figure, name the following:

(i) Five line segments.
(ii) Five rays.
(iii) Four collinear points.
(iv) Two pairs of non-intersecting line segments.
Solution:
From the given figure,
(i) Five line segments are AC, PQ, PR, RS, QS.
(ii) Five rays : Undefined control sequence \xrightarrow  , Undefined control sequence \xrightarrow  , Undefined control sequence \xrightarrow  , Undefined control sequence \xrightarrow  , Undefined control sequence \xrightarrow  .
(iii) Four collinear points are : CDQS, APR, PQL, PRB.
(iv) Two pairs of non-intersecting line segments an AB and CD, AP and CD, AR and CS, PR and QS.

Question 6.
Fill in the blanks so as to make the following statements true:
(i) Two distinct points in a plane determine a _____ line.
(ii) Two distinct_____ in a plane cannot have more than one point in common.
(iii) Given a line and a point, not on the line, there is one and only _____  line which passes through the given point and is_____ to the given line.
(iv) A line separates a plane into ____ parts namely the____  and the____  itself.
Solution:
(i) Two distinct points in a plane determine a unique line.
(ii) Two distinct lines in a plane cannot have more than one point in common.
(iii) Given a line and a point, not on the line, there is one and only perpendicular line which passes through the given point and is perpendicular to the given line.
(iv) A line separates a plane into three parts namely the two half planes, and the one line itself.

Summary: RD Sharma Class 9 Maths Chapter 9

The RD Sharma Solutions for Chapter 9 makes you ready to face exams of class 9 Mathematics. The RD Sharma Solutions Class 9 Maths Chapter 9 assist you in solving the exercise questions, which has basic introductory 12 questions on triangles in Chapter 9.1. 

Before you jump into the solutions, to prepare for practicing the solutions, you need to build a sound foundation of knowledge on:

• Basics of Triangle–Introduction to Triangles
• Triangle Categorization–Types of Triangles basis angles (Acute/Obtuse/Right) and sides (Scalene/Isosceles/Equilateral)
• Sum of Angles and Angle Property & Exterior Angle Property
• You also must know the Theorem 1 to Theorem 4

Once you have gained sufficient knowledge on the subject mentioned above, you are ready to refer to the solution part, which will be easy for you. The solutions to the RD Sharma Chapter 9 Maths requires powerful knowledge and understanding of various line segments like parallel lines, intersecting lines, concurrent lines, Ray, Half-line, and collinear point.

With RD Sharma Chapter 9 solution for CBSE class 9 mathematics, you will come out with flying colours by scoring high in all your class final exams and preparing for engineering and medical entrance. For any doubts regarding the Class 9 Maths exam, ask in the comments.

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