Question

Draw a line segment of length 6.3 cm. Draw another line parallel to it at a distance 3 cm from it.

Answer 1

Hint: Here in this question belongs to construction topic, we have to construct the Parallel line at distance 3 cm from line segment AB of length 6.3 cm. For this, first draw a line segment AB by using a geometrical instrument like centi-meter scale, then construct a parallel line using a compass with provision of fitting a pencil and protractor.

Complete step-by-step solution:
The parallel lines can be defined as two or more lines that lie in the same plane and never intersect or meet each other are known as parallel lines.
Now, consider the given question
Draw a line segment $$AB = 6.3$$ cm then draw a parallel line from distance 3 cm from line segment AB.
To construct the parallel line follow the below steps:.
Steps of Construction:
Draw a line segment $$AB = 6.3$$ cm
Take point ‘A’ as centre and radius 3cm construct an arc ‘E’ on line segment AB then place the compass at E and cut it at C.
Take point ‘B’ as centre and radius 3cm construct an arc ‘F’ on line segment AB then place the compass at F and cut it at D.
Join the points ABCD.
The construction of parallel line is

Hence, the line segment AB is parallel to the line CD i.e., $$AB\parallel CD$$.

Note: When doing construction handling the instruments carefully, remember when making an arc between an angle the radius will be the same which cannot be altered and when drawing parallel lines remember the line cannot meet the original line both the lines are never intersect.