A line that is perpendicular to the given line and passes through the given point.
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.
Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line
The mid-point
The point on a line segment that is equidistant from the ends of the segment. So pretty much a point in the middle of a segment
a line segment
. . . is the segment perpendicular to the line.
A ray
A perpendicular to the line which passes through the given point.
The length of a line segment that starts at the point and is perpendicular to the original line.
That is correct. The distance from a point C to a line AB is the length of the perpendicular segment drawn from point C to line AB. This forms a right angle, creating a right triangle with the segment as the hypotenuse. The length of this perpendicular segment is the shortest distance from the point to the line.
Probably three:The point is not on the segment nor the corresponding line,The point is in the line segment,The point is not in the line segment as given but would be if the segment were extended.
a segment of a strate line
To show that the perpendicular line segment is the shortest among all line segments drawn from a given point not on it, we can use the Pythagorean theorem. Let the given point be P and the line segment be AB, with the perpendicular from P meeting AB at C. By the Pythagorean theorem, the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. In this case, PC is the hypotenuse, and AP and AC are the other two sides. Thus, AC (perpendicular line segment) will always be shorter than any other line segment AB drawn from point P.
divide the line segment in half to aquire the center point
straight line.
A line segment is a line hat starts at one point and ends at another literal point.
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.