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When three points lie on a line what is one of them to the other two lines?
Wiki User
∙ 11y ago
"... to the other two lines?". What other two lines? According to the question, there is only one line!
Wiki User
∙ 11y ago
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If points M N O and P are arranged in such a way that three of them line how many lines are there?
The three points on a line form ONE line; the fourth point forms THREE additional lines, one with each of the first three points. So, four in total.
Three lines can intersect in only two points?
This is true. If three straight lines are drawn, they can only intersect at two points. That is, each line will only intersect with another once.
Is three distinct points always determine a line?
No, because Of any three points on a line there exists no more than one that lies between the other two.
How would you know if lines a perpendicular or parallel?
perpendicular lines intersect each other at 90 degrees whereas parallel lines never intersect each other and remain equal distance apart from each other. Obviously the way to test if two lines are parallel is to measure their distance from each other at at least two points (the farther apart the better) to confirm that they remain equal distance apart, but to test if lines are perpendicular, with a compass with the point at the point where the two lines intersect, draw an arc (or three parts of an arc) that intersects one of the lines in two places and the other line in one place. If the distances between the lines at the points where they are intersected by the arc are equal, the lines are perpendicular.
How many lines can intersect at a point?
How many lines can intersect at a point? Here is the REAL answer to that question. Intersecting lines have only one point in common, a Line is a endless straight path and it haves a made up of a continuous collection of points. Well what do u think... a line can intersect with and other line together forming into intersecting lines.
In geometry is it true that through any three points exists exactly one line?
No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points.No, it is not true. If it were true, all triangles would be straight lines !?!
If points M N O and P are arranged in such a way that three of them line how many lines are there?
The three points on a line form ONE line; the fourth point forms THREE additional lines, one with each of the first three points. So, four in total.
How many lines are determined by A B and C?
Three lines are determined by three points unless the points are all on the same line ( i.e. co-linear)
How many lines are in three collinear points?
only one line
Which line crosses two other lines?
A transversal is a line that crosses two or more other lines in the plane at different points.
If points A B and C all lie in a straight line but the other points are not on the line how many different lines can be drawn if each line contains at least two points?
2 lines, I believe.
Three lines can intersect in only two points?
This is true. If three straight lines are drawn, they can only intersect at two points. That is, each line will only intersect with another once.
In parallel lines all the points are what from the other line?
the same distance
What is the definition of non collinear lines?
The definition of a non-collinear line is that this is a line on which points do not lie on one line. The opposite of this is a collinear point. Collinear points refer to three points that do fall on a straight line.
What are non-coplanar lines?
In Euclidean Geometry, two non-coplanar lines are two lines in 3-dimensional space for which no single plane contains allpoints in both lines. For any two lines in three dimensional space, there is always at least one plane that contains all points in one line and at least one point in the other line. But there is not always (in fact it's quite rare) that any plane will contain all points in both lines. When it happens, there is only one such plane for any two distinct lines. Note that, any two lines in 3-dimensional space that intersect each other mustbe coplanar. Also, any two lines in 3-dimensional space that are parallel to each other must also be coplanar. So, in order to be non-coplanar, two lines in 3-dimensional space must a) not intersect each other at any point, and b) not be parallel to each other. (As it turns out, this dual condition is not only necessary, but sufficient for non-coplanarity.) Also note that, as a test for coplanarity of two lines, you need only test two points on each line, for a total of four points, because all points on a single line are, by definition, on the same plane. In fact, all you really have to do is test a single point on one line against three other points (one on the same line and two on the other line), because, by definition, any three points in 3-dimensional space are on the same plane. For example, consider any two distinct points on line m (A and B), and any two distinct points on line l (C and D). Points A and B are obviously coplanar because they are colinear (in fact, they are coplanar in the infinite number of planes that contain this line). Point C on line l is also coplanar with points A and B, because by definition, any 3 non-colinear points in 3-dimensional space define a plane (however, if point C is not on line m, the number of planes that contain all three points is immediately reduced from infinity to one). So the coplanarity test for the first three points is trivial - they are coplanar no matter what. However, it is not at all certain that point D will be on the same plane as points A, B, and C. In fact, for any two random lines in 3-dimensional space, the probability that the four points (two on each line) are coplanar is inifinitesimally small. But, if the fourth point, the one not used to define the plane, is nevertheless coplanar with the three points that define the plane, then lines l and m are coplanar. Note that, though I specified that points A and B on line m must be distinct, and that points C and D on line l must be distinct, I did not specify that C and D must both be distinct from both A and B. That is because, if, for example, A and C are the same (not distinct) point, then, obviously, lines m and l intersect, at point A, which is the same as point C. If this is the case, then the question of whether D is on the same plane as A, B, and C is trivial, because you really only have 3 distinct points, and any three distinct points alwaysshare a plane. That is why intersecting lines (lines that share a single point) are always coplanar. But you're asking about non-coplanar lines. So, basically, if any point on either of the two lines is not coplanar with the other three points (one on the same line and two on the other line), then the lines are non-coplanar.
Can lines on different planes be parallel?
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
What is the meaning lines?
"Lines" is the plural of "line" which is a series of points each of which is contiguous only to two other points in the series. It is also used to describe a line segment which is a line which terminates at each end with a point.
