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How can you prove that a constucted line is parallel to a given line?
The answer depends on the method used for constructing the second line. But since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
How do you identify the slope of the line that that would be parallel to the given line y5-3x?
Calculate the slope of the given line. Any line parallel to it will have the same slope.
How can you prove that a constructed line is parallel to a given line?
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
Can constructing a circle with a radius from a given line segment be accomplished by paper folding?
No, it cannot.
How many lines are parallel to a given line through a given point?
zero
How can you prove that a constucted line is parallel to a given line?
The answer depends on the method used for constructing the second line. But since you have not bothered to provide that crucial bit of information, I cannot provide a more useful answer.
Through a given point not on a given line there is exactly one line parallel to the given line?
The Playfair Axiom (or "Parallel Postulate")
Which conjecture justifies the construction of a line parallel to a given line through a given point?
Euclid's parallel postulate.
How do you identify the slope of the line that that would be parallel to the given line y5-3x?
Calculate the slope of the given line. Any line parallel to it will have the same slope.
How can you prove that a constructed line is parallel to a given line?
One way is to draw a straight line from the constructed line to the given line. If the lines are parallel, than the acute angle at the given and constructed line will be the same as will be the obtuse angles at the given and constructed line.
What is another name for the Playfair Axiom?
Another name for the Playfair Axiom is the Euclid's Parallel Postulate. It states that given a line and a point not on that line, there is exactly one line parallel to the given line passing through the given point.
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.
Through a given point on a given line there is exactly one line parallel to the given line what does it define?
Playfair Axiom
How do you draw a line parallel to a given line?
[A Parallel line is a straight line, opposite to another, that do not intersect or meet.] Ie. Line 1 is Parallel to Line 2. ------------------------------------------------- <Line 1 ------------------------------------------------- <Line 2
Can constructing a circle with a radius from a given line segment be accomplished by paper folding?
No, it cannot.
How do you write an equation that is parallel to a given line and passes through the given point?
Parallel straight line equations have the same slope but with different y intercepts
