Fold the paper so the line is on itself.
Fold this folded edge on itself causing a crease to form that goes through the point in question,
You are using the theorem that lines perpendicular to the same line are parallel.
true
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
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
To find the midpoint of a line segment using paper folding constructions, first fold the paper so that the two endpoints of the line segment coincide. Then, make a crease along the folded line. Unfold the paper and the crease will intersect the line segment at its midpoint. This method utilizes the properties of parallel lines and corresponding angles to accurately locate the midpoint of the line segment.
true
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
perpendicular line segment (apex)
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
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
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
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
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
To find the midpoint of a line segment using paper folding constructions, first fold the paper so that the two endpoints of the line segment coincide. Then, make a crease along the folded line. Unfold the paper and the crease will intersect the line segment at its midpoint. This method utilizes the properties of parallel lines and corresponding angles to accurately locate the midpoint of the line segment.