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E:\Working\Focus_Learning\Math_Genius_3_(11-09-2024)\Open_Files\CHAP_07
\ 12-Sep-2024 Surender Prajapati Proof-5 Reader’s Sign _______________________ Date __________
line
A line is a straight one-dimensional figure, that does not have a
thickness. If we fold a piece of paper, the crease represents a line. A
line can extend indefinitely in both directions. Line
Line AB given alongside is denoted symbolically as AB . A B
types of lines
There are two types of lines:
1. Straight line 2. Curved line.
When you hold a piece of thread tightly, you get a straight line.
When you hold a piece of thread loosely, you can get a curved line.
The straight line can be horizontal, vertical or slanting.
Straight Lines Note
Horizontal Vertical Slanting Curved Lines • We can draw
uncountable lines O
from a given point.
• From two given points,
only one straight line P Q
can pass.
line Segment
A line segment is a part of a line. It has a fixed length.
Here, in the given figure, AB is a line on which P and Q are A P Q B
any two points. After removing the extra parts beyond P and Q, it forms a line segment PQ.
Line segment PQ or QP is written as PQ or QP simply PQ, where P P Q
and Q are the endpoints of the line segment.
The edge of your notebook, edge of your ruler, etc. can be considered as examples of line
segments. A line segment is a part of a line. A line has no endpoints and it has no fixed
length, whereas a line segment has a fixed length.
Quick Check
Quick Check
1. Wh ich p a th is the sh ort es t r out e t o g o fr om Curved path 1
• Which path is the shortest route to go from
point X to point Y. ________t Y? ________
poin t X t o poin
X Y
2. Th e s h or t es t p a t h b e t w een X a n d Y i s kn o w n a s
• The shortest path between X and Y is known as
a ___________.
a ___________. Straight path
Curved path 2
Mathematics-3 121

