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Does every line have an infinite number of lines perpendicular to the given line?
Yes. There can be a line perpendicular to the given line at every point on it, and you know how many different points there are on it ...
What is the equation of a line that is perpendicular to and passes through the point (4 6)?
That would depend on its slope which has not been given.
What is a line perpendicular to a surface called?
The line perpendicular to a surface at a point is called the normal
Do two planes intersect at a point or a line?
Two planes intersect at a line
How do you reflect a shape with a given line?
Pick a vertex of the original shape.Draw a perpendicular to the given line.Double the length of this perpendicular. The end point is the image of the original vertex.Repeat for all other vertices of the original shape.Join the vertices of the image.
In space how many planes can be perpendicular to a given line at a given point?
only 1
How many planes are perpendicular to the line at one point?
one
What is the perpendicular postulate?
The perpendicular postulate states that if there is a line, as well as a point that is not on the line, then there is exactly one line through the point that is perpendicular to the 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 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 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.
The number of lines that can be drawn perpendicular to a given line at a given point on that line in a plane is?
Only one line can be drawn perpendicular to a given line at a specific point on that line in a plane. This is based on the definition of perpendicular lines, which intersect at a right angle (90 degrees). The uniqueness of this perpendicular line arises from the geometric properties of Euclidean space.
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. "
Does every line have an infinite number of lines perpendicular to the given line?
Yes. There can be a line perpendicular to the given line at every point on it, and you know how many different points there are on it ...
Only 1 line can be drawn perpendicular to a given line at a given point?
Yes (in a Euclidean plane)..
