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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

Question

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

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Solution

All of the above constructions can be accomplished with paper folding.

A. Drawing a perpendicular line segment from a given point to a given segment can be done by folding the paper so that the given point touches the given segment. The crease will be the perpendicular line.

B. Drawing a perpendicular line segment through a given point on a given segment can also be done by folding. You would fold the paper so that the given point is on the crease and the crease intersects the given segment at a right angle.

C. Drawing a line through a given point parallel to a given line can be done by folding the paper along the given line, then folding it again so that the given point is on the crease. The second crease will be parallel to the given line.

D. Constructing a line segment of length 2 and then finding the midpoint can be done by folding the paper in half. The crease will be the midpoint of the line segment.

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Similar Questions

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

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?Check all that apply.A.Folding the paper and aligning marks seen through the paperB.Drawing line segmentsC.Marking pointsD.Creating arcs and circles with the compassSUBMITarrow_backPREVIOUS

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.

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