RD SHARMA SOLUTION CHAPTER – 9 Introduction to Euclid’s Geometry | CLASS 9TH MATHEMATICS-EDUGROWN

Chapter 9 Introduction to Euclid’s Geometry Exercise Ex. 9.1

Question 1

Solution 1

Question 2(i)

Solution 2(i)

Question 2(ii)

Solution 2(ii)

Question 3(i)

Solution 3(i)

Question 3(ii)

Solution 3(ii)

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 4

(i) False

(ii) False

(iii) False

(iv) True

(v) False

(vi) True

(vii) False

(viii) False

(ix) False

(x) FalseQuestion 5

In fig., name the following:

(i) Five line segments.

(ii) Five rays.

(iii) Four collinear points.

(iv) Two pairs of non-intersecting line segments.Solution 5

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 6

(i) unique

(ii) lines

(iii) perpendicular, perpendicular

(iv) three, two half planes, line.