
What do parallel lines look like?
Answer
411.9k+ views
Hint: Parallel lines are the lines in a plane which do not meet. they do not have any intersection point. A fixed distance is maintained between the lines. Parallel lines similarly look like railway road tracks since they are always the same distance apart.
Complete step-by-step solution:
From the question it is clear that we were asked a question “What do parallel lines look like?”
In geometry, parallel lines are the lines in the same plane that never meet at any point. These lines do not intersect.
A line is not parallel to itself, since it intersects itself infinitely often.
Parallel lines similarly look like railway road tracks since they are always the same distance apart, running next to each other.
Let us consider two lines, \[AB\]and \[CD\]
While doing problems it is very difficult to write “\[AB\] parallel to\[CD\]” in each and every step wherever required. So, we need a particular unique symbol to represent \[AB\]parallel to\[CD\]. We will insert that unique symbol between \[AB\] and \[CD\] because of this unique symbol there is no need of writing “\[AB\] parallel to \[CD\]” all the time.
\[\parallel \]this is the symbol used for representing the parallel lines.
Instead of writing \[AB\] parallel to \[CD\] all the time, using this symbol we can simply write\[AB\parallel CD\]
Note: This question is completely based upon concepts. Conceptual errors may lead to this question being wrong. Students should be conceptually strong to do this type of question right. Along with parallel lines there are few more types of lines like skew lines, perpendicular lines, horizontal lines so we must know the difference between all these lines for solving such types of problems.
Complete step-by-step solution:
From the question it is clear that we were asked a question “What do parallel lines look like?”
In geometry, parallel lines are the lines in the same plane that never meet at any point. These lines do not intersect.
A line is not parallel to itself, since it intersects itself infinitely often.
Parallel lines similarly look like railway road tracks since they are always the same distance apart, running next to each other.
Let us consider two lines, \[AB\]and \[CD\]
While doing problems it is very difficult to write “\[AB\] parallel to\[CD\]” in each and every step wherever required. So, we need a particular unique symbol to represent \[AB\]parallel to\[CD\]. We will insert that unique symbol between \[AB\] and \[CD\] because of this unique symbol there is no need of writing “\[AB\] parallel to \[CD\]” all the time.
\[\parallel \]this is the symbol used for representing the parallel lines.
Instead of writing \[AB\] parallel to \[CD\] all the time, using this symbol we can simply write\[AB\parallel CD\]

Note: This question is completely based upon concepts. Conceptual errors may lead to this question being wrong. Students should be conceptually strong to do this type of question right. Along with parallel lines there are few more types of lines like skew lines, perpendicular lines, horizontal lines so we must know the difference between all these lines for solving such types of problems.
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