R d sharma solutions mathematics class 9 Solutions for Chapter 7 introduction to euclids geometry

Exercises in Chapter 7 introduction to euclids geometry Grade 9

Introduction To Euclid’s Geometry Exercise 7.1

Questions in Introduction To Euclid’s Geometry Exercise 7.1

Define the following terms. (i) Line segment (ii) Collinear points

(iii) Parallel lines (iv) Intersecting lines

(v) Concurrent lines

(vi) Ray

(vii) Half-line

(i) How many lines can pass through a given point?

(ii) In how many points can two distinct lines at the mostintersect?

(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.

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 incommon

In the below figure, 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 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 incommon.

(iii) Given a line and a point, not on the line, there is oneand 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.

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Chapters in this book

Number System

Exponents Of Real Numbers

Rationalisation

Algebraic Identities

Factorization Of Algebraic Expressions

Factorization Of Polynomials

Introduction To Euclid’s Geometry

Lines And Angles

Triangle And Its Angles

Congruent Triangles

Coordinate Geometry

Herons Formula

Linear Equations In Two Variables

Quadrilaterals

Areas Of Parallelograms And Triangles

Circles

Constructions

Surface Area And Volume Of A Cuboid And Cube

Surface Area And Volume Of a Right Circular Cylinder

Surface Area And Volume Of a Right Circular Cone

Surface Area And Volume Of Sphere

Tabular Representation Of Statistical Data

Graphical Representation Of Statistical Data

Measures Of Central Tendency

Probability