Answer :

A would be the shortest distance because your going strait to the line.   

Answer:  The correct option is (A) a perpendicular segment.

Step-by-step explanation:  We are given to select the correct option that is the shortest distance from a point to a line.

We know that the shortest distance from a point to a line is equal to the length of the line segment drawn from the point to the line such that it is perpendicular to the line.

So, the shortest distance is a perpendicular line segment drawn from the point to the line.

A point P and its shortest distance PC to the line AB is shown in the attached figure. Definitely, PC will be perpendicular to AB.

Thus, the correct option is (A).

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