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


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 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.


If two lines are perpendicular what is the respective slopes equal to?

Given any line L, with slope m, the perpendicular line has slope -m.


How does vertical lines look?

A vertical line is drawn parallel to the Y-Axis. An example of an equation that is a vertical line is x = 3. In architecture, it is drawn perpendicular to the horizon line, regardless of the aspect ratio.


A line that is at a right angle to another line?

Perpendicular line.


How can you determine if two lines are parallel or perpendicular?

If the two lines are parallel, they will never connect. A straight line drawn across those lines will intersect them at identical angles. If you have perpendicular lines, they intersect and all four angles that they make are 90 degrees.