Which of the following constructions can be accomplished with paper folding?Check all that apply.A.Constructing a circle with a radius from a given line segmentB.Drawing a perpendicular line segment from a given point to a given segmentC.Finding the midpoint of a segmentD.Drawing a perpendicular line segment through a given point on a given segment
Question
Which of the following constructions can be accomplished with paper folding?Check all that apply.A.Constructing a circle with a radius from a given line segmentB.Drawing a perpendicular line segment from a given point to a given segmentC.Finding the midpoint of a segmentD.Drawing a perpendicular line segment through a given point on a given segment
Solution
All of the above constructions can be accomplished with paper folding.
A. Constructing a circle with a radius from a given line segment: This can be done by folding the paper so that the end of the line segment is at the center of the circle and the length of the radius is equal to the length of the line segment.
B. Drawing a perpendicular line segment from a given point to a given segment: This can be done by folding the paper along the line segment and then folding it again at the given point so that the fold line is perpendicular to the line segment.
C. Finding the midpoint of a segment: This can be done by folding the paper so that the two ends of the line segment meet, creating a fold that bisects the segment.
D. Drawing a perpendicular line segment through a given point on a given segment: This can be done by folding the paper along the line segment and then folding it again at the given point so that the fold line is perpendicular to the line segment.
Similar Questions
Which of the following constructions can be accomplished with paper folding?Check all that apply.A.Drawing a perpendicular line segment from a given point to a given segmentB.Drawing a perpendicular line segment through a given point on a given segmentC.Drawing a line through a given point parallel to a given lineD.Constructing a line segment of length 2 and then finding the midpointSUBMITarrow_backPREVIOUS
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
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 construct the midpoint of a given line segment, fold the paper so that the given line segment lies on itself and:A.is perpendicular to the paper's edge.B.the fold is parallel to the line.C.on the point.D.the endpoints lie on each other.
Which of the following are techniques used in geometric constructions with paper folding?
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