true
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
Yes. That's always possible, but there's only one of them.
To construct a parallel line through a point not on the line using paper folding, you can perform the "folding to find the perpendicular" construction twice. First, fold the paper so that the point aligns with the line, creating a crease that indicates the perpendicular. Then, unfold and fold again using the newly created crease as a reference to establish a line parallel to the original through the given point. This method ensures that the resulting line is parallel to the original line.
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
You construct a line perpendicular to the original and then a line perpendicular to this second line.
perpendicular line segment (apex)
perpendicular line segment (apex)
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
~APEX~ A parallel line through a point not on the line
Only two rays are needed to construct an image by a spherical mirror: one ray parallel to the principal axis that passes through the focal point after reflection, and one ray passing through the focal point before reflection which then becomes parallel to the principal axis after reflection.
Yes. That's always possible, but there's only one of them.
... given line. This is one version of Euclid's fifth postulate, also known as the Parallel Postulate. It is quite possible to construct consistent systems of geometry where this postulate is negated - either many parallel lines or none.
perpendicular line segment (apex)
To construct a parallel line through a point not on the line using paper folding, you can perform the "folding to find the perpendicular" construction twice. First, fold the paper so that the point aligns with the line, creating a crease that indicates the perpendicular. Then, unfold and fold again using the newly created crease as a reference to establish a line parallel to the original through the given point. This method ensures that the resulting line is parallel to the original line.