#### Chapters

Chapter 2: Exponents of Real Numbers

Chapter 3: Rationalisation

Chapter 4: Algebraic Identities

Chapter 5: Factorisation of Algebraic Expressions

Chapter 6: Factorisation of Polynomials

Chapter 7: Linear Equations in Two Variables

Chapter 8: Co-ordinate Geometry

Chapter 9: Introduction to Euclid’s Geometry

Chapter 10: Lines and Angles

Chapter 11: Triangle and its Angles

Chapter 12: Congruent Triangles

Chapter 13: Quadrilaterals

Chapter 14: Areas of Parallelograms and Triangles

Chapter 15: Circles

Chapter 16: Constructions

Chapter 17: Heron’s Formula

Chapter 18: Surface Areas and Volume of a Cuboid and Cube

Chapter 19: Surface Areas and Volume of a Circular Cylinder

Chapter 20: Surface Areas and Volume of A Right Circular Cone

Chapter 21: Surface Areas and Volume of a Sphere

Chapter 22: Tabular Representation of Statistical Data

Chapter 23: Graphical Representation of Statistical Data

Chapter 24: Measures of Central Tendency

Chapter 25: Probability

## Chapter 9: Introduction to Euclid’s Geometry

#### 9.1 [Page 8]

### RD Sharma solutions for Mathematics for Class 9 Chapter 9 Introduction to Euclid’s Geometry 9.1 [Page 8]

Define the following terms:

Line segment

Define the following term :

Collinear points

Define the following terms :

Parallel lines

Define the following term:

Intersecting lines

Define the following term

Concurrent lines

Define the following term

Ray

Define the following term :

Half-line

How many lines can pass through a given point?

In how many points can two distinct lines at the most intersect?

Given two points P and Q, find how many line segments do they deter-mine.

Name the line segments determined by the three collinear points P, Q and R.

Write the truth value (T/F) of each of the following statements:

Two lines intersect in a point.

Write the truth value (T/F) of each of the following statements:

Two lines may intersect in two points

Write the truth value (T/F) of each of the following statements

A segment has no length.

Write the truth value (T/F) of each of the following statements:

Two distinct points always determine a line.

Write the truth value (T/F) of each of the following statements

Every ray has a finite length.

Write the truth value (T/F) of each of the following statements:

A ray has one end-point only.

Write the truth value (T/F) of each of the following statement:

A segment has one end-point only.

Write the truth value (T/F) of each of the following statements

The ray AB is same as ray BA.

Write the truth value (T/F) of each of the following statement:

Only a single line may pass through a given point.

Write the truth value (T/F) of each of the following statements:

Two lines are coincident if they have only one point in common.

In the below fig., name the following:

(i) five line segments.

(ii) Five rays.

(iii) Four collinear points.

(iv) Two pairs of non-intersecting line segments.

Fill in the blank so as to make the following statement true:

Two distinct points in a plane determine a ________ line.

Fill in the blank so as to make the following statement true:

Two distinct ________ in a plane cannot have more than one point in common.

Fill in the blank so as to make the following statement

Geven a line and a point, not on the line, there is one and only__ __line pwahsiscehs through the given point and is__ __to the given line.

Fill in the blank so as to make the following statement

A line separates a plane into__ __parts namely the and the__ __itself.

#### [Page 9]

### RD Sharma solutions for Mathematics for Class 9 Chapter 9 Introduction to Euclid’s Geometry [Page 9]

How many least number of distinct points determine a unique line?

How many lines can be drawn through both of the given points?

How many lines can be drawn through a given point.

In how many points two distinct lines can intersect?

In how many points a line, not in a plane, can intersect the plane?

In how many points two distinct planes can intersect?

In how many lines two distinct planes can intersect?

How many least number of distinct points determine a unique plane?

Given three distinct points in a plane, how many lines can be drawn by joining them?

How many planes can be made to pass through a line and a point not on the line?

How many planes can be made to pass through two points?

How many planes can be made to pass through three distinct points?

## Chapter 9: Introduction to Euclid’s Geometry

## RD Sharma solutions for Mathematics for Class 9 chapter 9 - Introduction to Euclid’s Geometry

RD Sharma solutions for Mathematics for Class 9 chapter 9 (Introduction to Euclid’s Geometry) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 9 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics for Class 9 chapter 9 Introduction to Euclid’s Geometry are Concept for Euclid’S Geometry, Euclid’S Definitions, Axioms and Postulates, Equivalent Versions of Euclid’S Fifth Postulate.

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