Question

Draw any line segment $ \overline {PQ} $ . Take any point R not on it. Through R draw a perpendicular to $ \overline {PQ} $ . (Use ruler and set square).

Answer 1

Hint: Making a perpendicular on any other line segment means making a line which cuts the given line segment at right angle. The combination of scale and set square makes the right angle triangle which helps to draw the line at right angle over the given line.


Complete step-by-step answer:
It is given that $ \overline {PQ} $ is line segment and R is a point which is not on the given line segment.
Step I: First, we will draw the given line segment $ \overline {PQ} $ and then make point R.

Step II: Now, we will place the set square in this way that line is just above of the set square.

Step III: Now we will take the ruler and place it with Set Square along the hypotenuse line of set square.

Step IV: now we will slide the set square over the ruler toward upward direction until the one side of the set square touches the point R.
 

Step V: now we will draw the line by that end of the set square which is touches the point R. the line will cut the line segment $ \overline {PQ} $ so, will name that line same RS and point at which it cuts the line segment $ \overline {PQ} $ is O.

Step VI: hence RS is the required perpendicular to line segment $ \overline {PQ} $ .

Note: Slide the set square along the line of the ruler, don’t move it otherwise the angle will be changed. Also place the set square correctly with the line segment and then ruler along the hypotenuse of the set square.