question_answer 1)

Draw any line segment \[{{l}_{2}}\] Take any point R not on it. Through R, draw a perpendicular to \[S\xrightarrow[{}]{{}}\] (use ruler and set-square).

Answer:

                To draw a perpendicular to \[{{l}_{1}}\] using ruler and set-square, we use the following steps:  Step I Draw a line segment \[{{l}_{2}}\] and take a point R, outside of \[{{l}_{2}},\]. Step II Place a set-square on \[{{l}_{2}}\] such that one arm of its right angle aligns along \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\]. Step III Place a ruler along the edge opposite to the right angle of the set-square. Step IV Hold the ruler fixed. Slide the set-square along the ruler till the point R touches the other arm of the set square. Step V Join RS along the edge through R meeting \[{{l}_{4}}\] at S. Hence, \[{{l}_{1}},{{l}_{2}},{{l}_{3}}\]