Question

Draw a pair of parallel lines at a distance of \[4.5\,cm\] from each other.

Answer 1

Hint: The given question revolves around the concepts of geometry and construction. We must know how to draw a line parallel to another line to attempt the given problem. The slope of the two lines has to be exactly the same for the lines to be parallel to each other as parallel lines have the same directional ratios.

Complete step by step answer:
In the given problem, we have to first draw a straight line $l$ as shown in the figure given below.

Then, we mark a point on the plane of paper which is at a distance of $4.5$ centimeters from the line drawn already. We label the point as $P$.

Now, we know that parallel lines are the lines that do not intersect or meet each other at any point in a plane. They are always equidistant from each other. Also, parallel lines have equal directional ratios. Now, we draw the required line and name it as line $m$.

Therefore, we get the construction required as above.

Note: We should have a strong grip over the concepts of basic coordinate and analytical geometry and construction in order to deal with such questions. One must be open to mathematical ideas and construction methods to innovate and analyze the steps of construction required to get to the final result. We should know the fact that parallel lines are always equidistant to each other in order to solve the problem. One can also mark more points at a distance of $4.5$ centimeter in order to be sure of the final construction.