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Shadowolf

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).

View image ColinJacobus

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