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

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.