Question

Draw a picture of a line and a point that is not on the line. Draw in the shortest distance from the point to the line. What do you notice about the line connecting the point and the line to the original line?

Answer 1

The shortest segment from the point to the line is perpendicular to the line.

Explanation:

See the attached image. The blue segments go from the point to the line, but they are longer than the shortest such segment (red).