Question

Which of the following can be constructed by the folding method below?

Begin with a line segment and a point, not on the segment. Fold the paper to the point so that the given line segment lies upon itself.

A. Perpendicular line segment
B. Midpoint of a segment
C. Angle bisector
D. Parallel lines

Answer 1

The correct answer is Choice B: Midpoint of a segment.

If you fold a piece of paper so that the endpoint of a line segment are touching, the segment will be divided in half. That is the midpoint of the line.

Answer 2

Answer with explanation:

It is given that, there is a line segment and a point,not on the segment.We have to fold the paper to the point so that the given line segment lies upon itself.

→→Drawn a segment on the piece of paper.Take a point on the paper ,such that if perpendicular distance from side parallel to segment is x units, you should take that point x units away from the segment.

Fold the paper such that , the given segment become coincident with itself.

You will get

1. Parallel Lines(segment coincident with itself)

2.Perpendicular line segment(line from segment to the point).