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Do parallel lines continue forever?
Yes, in plane geometry parallel lines continue forever. However, in polar geometry (3 dimensions, as in Earth longitudinal lines), parallel lines eventually intersect at the poles of the sphere,
Why can't parallel lines intersect?
In Euclidian geometry, which is the geometry of a plane surface, parallel lines do not intersect because that is the definition of parallel lines. But note that there are other geometrical systems in which parallel lines do intersect, for example if they are drawn on the surface of a sphere. Definition of parallel lines: Lines that always stay the same distance apart and never meet.
When parrarel lines meets?
For most purposes in algebra and geometry, but especially geometry, parallel lines never meet. This should be the answer you give on nearly every question. However, speaking realistically, parallel lines can meet on planes of negative and positive curvature. An example of positive curvature would be a sphere; on a sphere, if you try to draw a triangle, the interior sum would be more than 180degrees and parallel lines would intersect. Similarly, on a plane of negative curvature like that of a surface of a saddle, the sum of the measures of the triangle would be less that 180 degrees and once again parallel lines will intersect.
What are lines that never intersect called?
the answer is parallel lines
What are all the lines like parallel?
parallel lines are slanted lines
What is the portion of a sphere included between parallel lines?
Parallel lines (as opposed to planes) will not divided a sphere into portions.
On a flat or spherical surface lines that start parallel to each other can meet?
On a flat Euclidean surface, parallel lines cannot meet. On a sphere, parallel lines CAN meet.
Do parallel lines exist on a sphere?
No. The circular shape makes it impossible to have parallel lines just as you cannot have parallel lines in a circle that both reach the length of the diameter of the said circle.
Do parallel lines continue forever?
Yes, in plane geometry parallel lines continue forever. However, in polar geometry (3 dimensions, as in Earth longitudinal lines), parallel lines eventually intersect at the poles of the sphere,
Two parallel lines are coplanar?
Not necessarily. The Tropic of Cancer, and the Tropic of Capricorn, imaginary lines on the surface of the earth (an approximate sphere), are parallel but they are not coplanar. You could draw similar lnes on a proper sphere that were parallel but not coplanar.
How many parallel lines does a sphere have?
None because it's a circular shape.
Why can't parallel lines intersect?
In Euclidian geometry, which is the geometry of a plane surface, parallel lines do not intersect because that is the definition of parallel lines. But note that there are other geometrical systems in which parallel lines do intersect, for example if they are drawn on the surface of a sphere. Definition of parallel lines: Lines that always stay the same distance apart and never meet.
Do spheres have skew lines?
Yes, it is possible to draw lines on the surface of a sphere that are neither parallel nor intersecting.
Is it possible to draw two lines on a sphere that are parallel?
If by parallel, you mean two lines that do not intersect, yes, it is possible to draw them on the surface of a sphere. They will end up being circles, and most pairs will not be equal in size. If you add the idea that the two lines also continue to infinity to the definition, then you cannot draw such things on the surface of a sphere.
Do parallel lines run from the north to south pole?
In plane geometry, the geometry of a flat surface, parallel lines by definition never meet. However in spherical geometry, the geometry of the surface of a sphere (such as the planet Earth) parallel lines meet at the poles.
Can parallel lines be curved?
The usual definition is that the lines should be straight. On "alternative geometries", other definitions may be used. For example, on a sphere, the large circles (the largest you can make, whose center is the center of the sphere) replace straight lines. Note that in this case, the normal parallel axiom is no longer valid.
What are latitude lines known as?
They are known as parallels - a bit of a misnomer, really, because there are no parallel lines on the surface of a sphere: lines of latitude themselves are not lines, but circles, except for the equator.
