RD SHARMA Solutions for Class 9 Maths Chapter 9 - Introduction to Euclid's Geometry
Chapter 9 - Introduction to Euclid's Geometry Exercise Ex. 9.1
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.
(i) False
(ii) False
(iii) False
(iv) True
(v) False
(vi) True
(vii) False
(viii) False
(ix) False
(x) False
In 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 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.
(i) unique
(ii) lines
(iii) perpendicular, perpendicular
(iv) three, two half planes, line.
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