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You place a ruler on a piece of paper and trace both sides. Put the point of your pair of compasses on the line and draw a circle. Then draw another circle, that is the same size, the same way further along the line. You will then be able to use your rule to draw a line that is a tangent to the two circle, and so parallel to your first line. Once you have done this you will realize that you don't need to draw a full circle just a small arc.
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∙ 16y ago
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When you construct a parallel to a line through a point not on the line using paper folding what construction can you perform twice?
You construct a line perpendicular to the original and then a line perpendicular to this second line.
Is it possible to construct more than one line that is parallel to any given line?
yes
To construct a parallel to a line through a point not on the line using folding you can perform the construction twice?
perpendicular line segment (apex)
If you repeat the perpendicular line segment construction twice using paper folding, you can construct?
~APEX~ A parallel line through a point not on the line
To construct a parallel to a line through a point not on the line using paper folding you can perform the construction twice?
perpendicular line segment (apex)
When you construct a parallel to a line through a point not on the line using paper folding what construction can you perform twice?
You construct a line perpendicular to the original and then a line perpendicular to this second line.
What if you repeat the perpendicular line segment construction twice using paper folding you can construct?
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
Is it possible to construct more than one line that is parallel to any given line?
yes
How do you construct a parallel line using a perpendicular line?
Start with a line, L1. Draw a line perpendicular to it, L2. Next draw a line perpendicular to L2, but not the same as L1. This last line will be parallel to L1.
To construct a parallel to a line through a point not on the line using folding you can perform the construction twice?
perpendicular line segment (apex)
If you repeat the perpendicular line segment construction twice using paper folding, you can construct?
~APEX~ A parallel line through a point not on the line
To construct a parallel to a line through a point not on the line using paper folding you can perform the ----- construction twice?
perpendicular line segment (apex)
What can you construct if you repeat the perpendicular line segment construction twice using paper folding?
~APEX~ A parallel line through a point not on the line
If you repeat the perpendicular line segment construction twice using paper folding what can you construct?
~APEX~ A parallel line through a point not on the line
To construct a parallel to a line through a point not on the line using paper folding you can perform the construction twice?
perpendicular line segment (apex)
What construction do you perform twice when you are constructing a parallel to a line through a point not on the line using paper folding?
You construct a line perpendicular to the original and then a line perpendicular to this second line.
If there is a line and a point not on the line then there is exactly lines trough the point parallel to the given line?
This is 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.
