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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_06
\\November 23, 2023 10:09 AM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74
Think and Answer
Identify the examples of a point, a line and a plane in the following:
1. Tip of a sharpen pencil 2. The edge of a book 3. Floor of a room
ray
If a line segment goes endlessly in one direction, it is called a A B
ray. The figure alongside represents a ray AB.
It is denoted by AB . The AB has one end point, namely A. The end point A is called the
initial point of ray AB .
line
FACTS
If a line segment is extended endlessly in both Infinite number of lines can be
directions, it is called a line. drawn through a point.
Only a line segment can be drawn
The figure alongside represents a line AB. It is denoted through two given points.
by AB or BA . l
A line may be represented by a small letter such as
l, m, n, etc. A B
A line has no end points. So, it does not have a definite
length.
Knowledge Desk
The shortest distance between two points is a straight line, which is known as the
Euclidean distance. It is named after the Greek mathematician Euclid.
intersecting lines
You have often seen Chauraha when you go to the market or school.
A Chauraha is a place where two roads cross and intersect each other
at a point.
If two lines meet at a point or tend to meet if extended, they are
called intersecting lines. l
Here, in the adjacent figure, lines l and m are intersecting lines
intersecting at the point O. O m
B
Also, look at the two lines AB and CD shown here.
A
If we extend them towards the left side, we find that they meet at C D
the point O.
B
We say that the lines AB and CD intersect at the point O. A
Hence, AB and CD are intersecting lines.
O C D
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