Question

Draw a line segment OP of 5.2cm. Construct a line perpendicular to OP.

Answer 1

Hint: First we will draw a line and then we will mark points O and P separated by 5.2cm. Then we will follow certain steps to make a perpendicular line.

Complete step-by-step solution -
First, we will draw a line XY as shown below:

Now, on the line XY, we will mark a point O as shown below:

Now, we will take a compass and then we will cut an arc of radius 5.2cm on the same line. It is shown below:
       

We have named intersection point P. A line segment OP is formed which has a length of 5.2cm. Now, we will construct a perpendicular line to the line segment OP. Construction of a perpendicular line:
Step I: We will consider a point A outside the line XY, as shown below:

Step II: Now, we will open the compass and place at A. Then we will cut an arc across the line on each side of the given point. Let the intersection points be B and C.
        

Step III: From points B and C, we will draw arcs on the other side of line XY. Let the two arcs intersect each other at point D. After this, we will join the points A and D. The line obtained by joining these points will be perpendicular to line segment AB.
 

Note: We can also draw a perpendicular line to the given line with the help of a protractor. We will put the $O^{\circ }$ angle line on the line drawn and then we will mark a point at ${90}^{\circ }$ Then we will join this point to the point where we have kept the vertex of the lines in the protractor.