Question

A line AB is parallel to the line CD. This is symbolically written as

Answer 1

Hint: To write the statement given in symbolically form we will use the sign used to denote a line and two parallel lines. Firstly we will write both the lines given with symbols used to denote a line. Then we will use the parallel sign between the two lines and get our desired answer.

Complete step by step solution:
So it is given to us that $AB$ and $CD$ are two lines which are parallel.

We know that a line is dented by $\leftrightarrow $ sign so we can write the two lines as follows:
Line $AB$ can be written as:
$\overset{\leftrightarrow }{\mathop{AB}}\,$
Line $CD$ can be written as:
$\overset{\leftrightarrow }{\mathop{CD}}\,$
Next we know that the sign used to denote parallel line is $||$ so we can write the two lines parallel as follows:
$\overset{\leftrightarrow }{\mathop{AB}}\,||\overset{\leftrightarrow }{\mathop{CD}}\,$
Hence A line $AB$ is parallel to the line $CD$ can be symbolically written as $\overset{\leftrightarrow }{\mathop{AB}}\,||\overset{\leftrightarrow }{\mathop{CD}}\,$

Note: A line is a one-dimensional figure which has length but doesn't have a width. It is made up of a set of points which is extended in opposite directions infinitely. There are many lines in geometry such as horizontal lines, vertical lines, parallel lines and perpendicular lines. These lines are widely used to construct different polygons. Example- Square is made up of four lines with same length; Rectangle is made up of four lines where the opposite lines are same in length. Parallel lines are those lines that do not intersect or meet each other at any point in the plane or we can say that parallel lines meet at infinity.