The intersection of two distinct lines occurs at a single point if the lines are not parallel. This point is where the lines meet or cross each other in a two-dimensional plane. If the lines are parallel, they do not intersect at any point, and if they are coincident, they overlap completely but are not considered distinct.
A line or edge.
The intersection of two lines can be any of the following:NothingA single pointAn entire line (that means the two lines are NOT distinct)
ONLY a line can be formed by the intersection of two planes...and always.
yes
The intersection of two planes in three-dimensional space is sometimes a point, but more commonly it is a line or can be the same plane. If the two planes are parallel and distinct, they do not intersect at all. If they are identical, every point on the plane is an intersection. Thus, while a point intersection is possible, it is not the only outcome.
The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.
A line
If two distinct planes intersect, therefore their intersection is a line.
A line or edge.
The intersection of two lines can be any of the following:NothingA single pointAn entire line (that means the two lines are NOT distinct)
Answer: the name of a line confers to only 2 points and the intersection of two planes is a line. (updated)
A line. When two planes intersect, their intersection is a line.
ONLY a line can be formed by the intersection of two planes...and always.
yes
The intersection of two lines is always a point or the line itself. The intersection of a line with plane also the same as above.
The intersection of two planes in three-dimensional space is sometimes a point, but more commonly it is a line or can be the same plane. If the two planes are parallel and distinct, they do not intersect at all. If they are identical, every point on the plane is an intersection. Thus, while a point intersection is possible, it is not the only outcome.
The line intersection postulate states that if two distinct lines intersect, they do so at exactly one point. This fundamental principle in geometry ensures that the intersection of lines is unique, meaning that no two lines can cross at more than one point. This postulate forms the basis for understanding the relationships between lines in a plane.