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Which of the following constructions can be accomplished with paper folding? (There may be multiple answers).

A. Drawing a perpendicular line segment through a given point on a given segment.
B. Drawing a perpendicular line segment from a given point to a given segment.
C. Drawing a line through a given point parallel to a given line.
D. Finding the midpoint of a segment.

1 Answer

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Final answer:

The constructions that can be completed using paper folding are drawing a perpendicular line segment through a point on a segment, from a point to a segment, drawing a parallel line through a given point, and finding a segment's midpoint.OPTION A.

Step-by-step explanation:

The question pertains to constructions that can be completed using paper folding. The specific constructions mentioned are:

All of these constructions can be done with paper folding techniques. Scoring the paper by drawing a line with a ballpoint pen, guided by a ruler and pressed down hard, can help create sharp folds essential for accurate constructions.

To draw a perpendicular from a point on a segment, fold the paper to align the edges of the segment and crease the fold through the point. To find a midpoint, fold the paper to bring the endpoints of the segment together and crease where they align. Creating a parallel line involves folding the paper so that the given point touches the given line, and the fold that results will be parallel to the original line.

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