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Q: 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?

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You construct a line perpendicular to the original and then a line perpendicular to this second line.

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line

perpendicular line segment (apex)

upon itself

true

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You can construct a parallel to a line through a point not on the line. (perpendicular line segment)

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~APEX~ A parallel line through a point not on the line

~APEX~ A parallel line through a point not on the line

perpendicular line segment (apex)

~APEX~ A parallel line through a point not on the line

You construct a line perpendicular to the original and then a line perpendicular to this second line.

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line

You construct a line perpendicular to the original and then a line perpendicular to this second line.

perpendicular line segment (apex)

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