The shortest distance from a point to a line in Euclidean geometry is always along the perpendicular from the point to the line. therefore, option C is correct
The image you've provided shows a multiple-choice question asking to describe the shortest distance from a point to a line. The choices are:
- a line that is parallel to line ℓ
- a line that intersects line ℓ at its midpoint
- a line that is perpendicular to line ℓ
The shortest distance from a point to a line in Euclidean geometry is always along the perpendicular from the point to the line. Therefore, the correct choice is:
- a line that is perpendicular to line ℓ