Which of the following constructions can be accomplished with paper folding?Check all that apply.A.Drawing a line through a given point parallel to a given lineB.Drawing a perpendicular line segment from a given point to a given segmentC.Drawing a perpendicular line segment through a given point on a given segmentD.Constructing a line segment of length 2 and then finding the
Question
Which of the following constructions can be accomplished with paper folding?Check all that apply.A.Drawing a line through a given point parallel to a given lineB.Drawing a perpendicular line segment from a given point to a given segmentC.Drawing a perpendicular line segment through a given point on a given segmentD.Constructing a line segment of length 2 and then finding the
Solution
All of the above constructions can be accomplished with paper folding.
A. Drawing a line through a given point parallel to a given line: This can be done by folding the paper so that the given line lies on the fold line. Then, make another fold that passes through the given point and is parallel to the first fold. The second fold is the required line.
B. Drawing a perpendicular line segment from a given point to a given segment: This can be done by folding the paper so that the given point lies on the fold line. Then, make another fold that is perpendicular to the first fold and passes through the given point. The second fold is the required line segment.
C. Drawing a perpendicular line segment through a given point on a given segment: This can be done by folding the paper so that the given point lies on the fold line. Then, make another fold that is perpendicular to the first fold and passes through the given point. The second fold is the required line segment.
D. Constructing a line segment of length 2 and then finding the: This can be done by folding the paper in half to create a line segment of length 1. Then, fold the paper again along the same line to create a line segment of length 2. The midpoint of this line segment can be found by folding the paper in half again.
Similar Questions
Using paper folding to construct a line perpendicular to a given line through a point, fold the paper through the point so that the given line segment lies:A.upon itself.B.at an angle.C.perpendicular to the paper's edge.D.on the point.
To find a segment parallel to another segment and through a given point using paper folding techniques requires two steps. The first step is to find a line perpendicular to the given segment that passes through the given point.
Which of the following are not techniques used in geometric constructions with paper folding?Check all that apply.A.Creating arcs and circles with the compassB.Drawing line segmentsC.Measuring lengths of line segments by folding the paper and matching the endpointsD.Folding the paper and aligning marks seen through the paper
To find a segment perpendicular to a given segment and through a given point, fold a piece of paper so that the fold goes through the point and the pieces of the segment on either side of the fold match up.A.TrueB.False
Which of the following are techniques used in geometric constructions with paper folding?
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