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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.


How many lines can be drawn perpendicular to a given like through a point not on the given line?

In Geometry


Line l is parallel to line m line l is perpendicular to line p what conclusions can be drawn about the relationship between lines m and p?

Lines are parallel if they are perpendicular to the same line. Since the lines m and l are parallel (given), and the line l is perpendicular to the line p (given), then the lines m and p are perpendicular (the conclusion).


The number of lines that can be drawn perpendicular to a given line at a given point on that line in space is?

There is exactly one line that can be drawn perpendicular to a given line at a specific point on that line in three-dimensional space. This is because a perpendicular line will intersect the original line at a right angle, and in three-dimensional geometry, any point on a line can have only one such unique perpendicular direction.


How many lines can be drawn perpendicular to a given plane?

Through a given plane, an infinite number of lines can be drawn perpendicular to it. For any point on the plane, there exists exactly one line that is perpendicular to the plane at that point. However, since there are infinitely many points on the plane, this leads to an infinite number of perpendicular lines overall.


Through a given point how many lines can be drawn perpendicular to a given plane?

Through a given point, an infinite number of lines can be drawn perpendicular to a given plane. Since any line that extends from the point to the plane at a right angle can be considered perpendicular, and this can occur at various angles around the point, there are no restrictions on the direction of these lines as long as they maintain the perpendicular relationship. Hence, the answer is infinite lines.


What is a perpendicular?

perpendicular is a line drawn at an angle 90 to other given line


Only 1 line can be drawn perpendicular to a given line at a given point?

Yes (in a Euclidean plane)..


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 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. "


Is it possible to construct an infinite number of lines that are perpendicular to any given line?

Yes, but only in principle. In practice, you won't live long enough. Putting it in more positive terms: No matter how many lines have already been drawn perpendicular to a given line [segment], there's always enough room for a lot more of them.


What is a perpendicular with paralles lines?

If there are given two parallel line L1 and L2, and a third line L3 that is perpendicular to L1, then the line L3 must also be perpendicular to L2.