## RD Sharma Class 9 Solutions Chapter 9 Triangle and its Angles Ex 9.1

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 9 Triangle and its Angles Ex 9.1

**Other Exercises**

- RD Sharma Class 9 Solutions Chapter 9 Triangle and its Angles Ex 9.1
- RD Sharma Class 9 Solutions Chapter 9 Triangle and its Angles VSAQS

**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 \(\overline { AB }\) 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 : \(\overline { PQ }\) , \(\overline { QR }\) and \(\overline { PR }\) .

**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 : \(\xrightarrow { PA }\) , \(\xrightarrow { RB }\) , \(\xrightarrow { PB }\) , \(\xrightarrow { CS }\) , \(\xrightarrow { DS }\) .

**(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.

Hope given RD Sharma Class 9 Solutions Chapter 9 Triangle and its Angles Ex 9.1 are helpful to complete your math homework.

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