Chapter 10.4, Problem 17WE

To determine

the line perpendicular to $l$ and tangent to the $\odot O$ .

Explanation of Solution

Given:

  

Concept used:

Tangent and perpendicular concepts of geometry.

Given figure,

  

Now drawing a line that act as a tangent to the circle and perpendicularly bisects line segment $l$ ,

  

Now naming all the points the final figure as,

  

The line that acts as a tangent to the circle and perpendicularly bisects line segment $l$ is $\overline{ab}$ .

Conclusion:

Therefore, the above discussed figure is the line that acts as a tangent to the circle and perpendicularly bisects line segment $l$ .