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What is the first step in the construction of a line parallel to AB through point P?
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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
How many lines are parallel to a given line through a given point?
zero
What is Euclid's parallel postulate?
Although he presented it differently, the modern version is as follows:given a straight line and a point which is not on that line, there is only one line which will pass through the point and which is parallel to the line.
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
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
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)
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 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.
How do you negate the euclidean parallel postulate?
Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.
Why can rays be perpendicular but not parallel?
Rays pass through one point. Parallel lines never meet.
