Infinity
The definition of perpendicular lines also defines the angles -- perpendicular lines are two lines (or line segments) that meet at a 90 degree angle.
It is a perpendicular line that intercepts another line at 90 degrees.
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Two lines are said to be perpendicular when they are at right angles. That means that the angle between them is 90 degrees.There are other meanings of perpendicular; for example, a line is said to be perpendicular to a plane when it is perpendicular to EVERY line of the plane that goes through the intersection.
Intersecting lines may or may not be perpendicular. If the angle of intersection between two intersecting lines is 90 degrees, then the two lines are perpendicular. Otherwise, the lines are not perpendicular. For example: A | | | B ----|----- | | Here, the lines A and B are intersecting. The angle between A and B is 90 degrees. Therefore, line A and line B are perpendicular to each other.
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.
In Geometry
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).
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.
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, 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.
perpendicular is a line drawn at an angle 90 to other given line
Yes (in a Euclidean plane)..
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 ...
It's the theorem that says " One and only one perpendicular can be drawn from a point to a 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.
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.