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What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
Writing an equation given a slope and a point?
If the slope m is given at a point (xo, yo) of a line, then the equation of the line is given by: y - yo = m(x - xo)
Only 1 line can be drawn perpendicular to a given line at a given point?
Yes (in a Euclidean plane)..
What postulate or theorem guarantees that there is only one line that can be constructed perpendicular to a given line from a given point not on the line?
It's the theorem that says " One and only one perpendicular can be drawn from a point to a line. "
What is needed to determine a line?
Two points determine a line. Also there is one and only line perpendicular to given line through a given point on the line,. and There is one and only line parallel to given line through a given point not on the line.
Constructions can be accomplished with paper folding?
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
What constructions can be accomplished paper folding?
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
What constructions can be accomplishments with paper-folding?
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
What constructions can be accomplished with paper folding?
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
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
What is the shortest segment from a point to line?
A line that is perpendicular to the given line and passes through the given point.
What does a given point repesent on a line graph?
A given point of x and y
Through a given point on a given line there is exactly one line parallel to the given line what does it define?
Playfair Axiom
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")
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?
upon itself
