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Q: Are the lines that make up altitudes equidistant?
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Parallel lines are equidistant and will never meet?

I understand your question to be, "Is it true that parallel lines are everywhere equidistant and never intersect?" In what follows, I assume we're talking about a two-dimensional plane. By definition, two lines that are parallel (in the same plane) never intersect. In Euclidean (AKA Parabolic or simply E) Geometry, and also in Hyperbolic (AKA simply L) Geometry, parallel lines exist. In Elliptical (AKA R) Geometry, all lines eventually intersect so parallel lines do not exist. Now, are two parallel lines (in the same plane) everywhere equidistant? If so, that means that it is possible, at any point on one of the lines, to construct a perpendicular that will meet the other line in a perpendicular, and that the length of the segments constructed will be always the same. In Euclidean Geometry, two parallel lines (in a plane) are indeed everywhere equidistant. To prove it requires the converse of the Alternate Interior Angles theorem (AIA), which says that if two parallel lines are cut by a transversal, the alternate interior angles will be congruent. Note that this is the CONVERSE of AIA, not AIA. Some people get this mixed up. In Hyperbolic Geometry, two lines can be parallel, but be further apart some places than others. I know that sounds rather odd, if you're not used to it. Here's an image that might help: imagine that your plane is a thin sheet of rubber, and for some reason is being stretched. The further you go from your starting point, the more it stretches, and it's always stretching away from you. This means that your parallel lines will keep getting further and further apart.


What are the tiny lines in an inch called what are the tiny lines in an inch called?

The "tiny lines" that make up an inch on a ruler are centimeters.


How many set of parallel line to make up a square?

2 sets of parallel lines make up a square. One set is composed of vertical lines, the other of horizontal ones.


How many horizontal lines make up a musical staff?

5


What shapes make up a square?

A square can be drawn with four lines.

Related questions

What lines make up the earths''grid'' system?

Lines of latitude and the lines of longitude.


What lines makes up earths grid system?

Lines of latitude and the lines of longitude.


What are clouds altitudes?

up high!


Parallel lines are equidistant and will never meet?

I understand your question to be, "Is it true that parallel lines are everywhere equidistant and never intersect?" In what follows, I assume we're talking about a two-dimensional plane. By definition, two lines that are parallel (in the same plane) never intersect. In Euclidean (AKA Parabolic or simply E) Geometry, and also in Hyperbolic (AKA simply L) Geometry, parallel lines exist. In Elliptical (AKA R) Geometry, all lines eventually intersect so parallel lines do not exist. Now, are two parallel lines (in the same plane) everywhere equidistant? If so, that means that it is possible, at any point on one of the lines, to construct a perpendicular that will meet the other line in a perpendicular, and that the length of the segments constructed will be always the same. In Euclidean Geometry, two parallel lines (in a plane) are indeed everywhere equidistant. To prove it requires the converse of the Alternate Interior Angles theorem (AIA), which says that if two parallel lines are cut by a transversal, the alternate interior angles will be congruent. Note that this is the CONVERSE of AIA, not AIA. Some people get this mixed up. In Hyperbolic Geometry, two lines can be parallel, but be further apart some places than others. I know that sounds rather odd, if you're not used to it. Here's an image that might help: imagine that your plane is a thin sheet of rubber, and for some reason is being stretched. The further you go from your starting point, the more it stretches, and it's always stretching away from you. This means that your parallel lines will keep getting further and further apart.


How do leading lines affect the quality of a picture?

Leading Lines take many forms. They make lines that make up the picture. It could be a railroad track, it doesn't matter. Leading Lines do exactly that.


Are the metal rails that make up train an example of parallel line intersecting lines or perpendicular lines?

Railway lines are parallel


What are the tiny lines in an inch called what are the tiny lines in an inch called?

The "tiny lines" that make up an inch on a ruler are centimeters.


How many set of parallel line to make up a square?

2 sets of parallel lines make up a square. One set is composed of vertical lines, the other of horizontal ones.


Which lines of latitude make up the Tropic of Capricorn and the Tropic of Cancer?

The Tropics of Cancer and Capricorn are lines of latitude.


What does ad lib mean in theatre?

To improvise; make up on the spot, sometimes in replacement of forgotten lines


In high altitudes erythrocyte levels go up will these levels stay the same?

No, they will drop to normal a few weeks after returning to normal altitudes.


How many lines make up the sestet of petrarchan literature?

six