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

In Geometry


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 passing through two given line?

Through two given lines, there can be either zero, one, or infinitely many lines that can be drawn, depending on their relationship. If the two lines are parallel, no line can pass through both. If they intersect, exactly one line can be drawn through their intersection point. If they are coincident (the same line), then infinitely many lines can be drawn through them.


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.


What types of concurrent constructions are needed to find the orthocenter of a triangle?

intersection of the lines drawn perpendicular to each side of the triangle through its midpoint

Related Questions

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

In Geometry


How many lines can be drawn that are perpendicular to a given line?

Infinity


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.


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).


What are lines drawn at right angles to each other?

They are perpendicular lines


How many lines can be drawn through both of the two given points?

One.


How many lines can be drawn through a given point on a circle that is tangent to the circle?

Infinite lines because a circle has infinite lines of symmetry.


Decide whether the lines given are parallel perpendicular or neither The line through 5 -9 and -8 5 are they parallel perpendicular or neither?

Parallel


What types of concurrent constructions are needed to find the orthocenter of a triangle?

intersection of the lines drawn perpendicular to each side of the triangle through its midpoint


What are two lines that are perpendicular that passes through point?

Perpendicular lines passing through a point are at right angles to each other.


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 line passes through 2 parallel lines?

Any line that is not parallel to the given lines. The transversal that contains the shortest distance between the two parallel lines, is perpendicular to them.