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What are 3 or more lines that intersect at one point called?
Three or more lines that intersect at a single point are called concurrent lines. The point where they intersect is known as the point of concurrency. This concept is commonly used in geometry, particularly in the study of triangles and other polygons.
What is a counterexample to this conjecture if three lines lie in the same plane then they intersect in at least one point?
A counterexample to the conjecture is when three parallel lines lie in the same plane. In this case, none of the lines intersect at any point, demonstrating that it is possible for three lines in the same plane to not intersect at all. Therefore, the conjecture is proven false.
When two lines intersect do they intersect in different ponts?
No, two straight lines can intersect at only one point and that is their point of intersection.
Can two lines intersect twice?
No, two distinct lines in a plane can intersect at most once. If two lines intersect at two points, they would not be distinct but rather the same line. In three-dimensional space, two lines can be skew, meaning they do not intersect at all, or they can intersect at one point, but they cannot intersect at two points.
Three lines that intersect in a point but do not all lie in the same plane?
collinear plane
Does three points intersect at a single point?
No, only three lines can intersect at a single point.
Three or more lines that intersect at a common point?
its the point of concurrency
What are three or more lines that intersect at a common point called?
concurrent lines
When three or more lines intersect at one point then the lines are said to be?
concurrent
Two lines intersect in a?
Two lines intersect at a point
What are 3 or more lines that intersect at one point called?
Three or more lines that intersect at a single point are called concurrent lines. The point where they intersect is known as the point of concurrency. This concept is commonly used in geometry, particularly in the study of triangles and other polygons.
Can three lines intersect in only one point?
Any number of lines can intersect all at the same point. Think of a circle. Now think of all of its diameters.
What is a counterexample to this conjecture if three lines lie in the same plane then they intersect in at least one point?
A counterexample to the conjecture is when three parallel lines lie in the same plane. In this case, none of the lines intersect at any point, demonstrating that it is possible for three lines in the same plane to not intersect at all. Therefore, the conjecture is proven false.
Three lines that intersect in three points?
thre lines that intersect in three points
Can 3 lines intersect at only 1 point?
Assuming that the none of the lines are parallel, they can intersect (pairwise) at three points. Otherwise, the question is tautological.
Three lines that intersect at the same point must all be in the same plane?
no
Do two lines always intersect at one point?
If two different lines intersect, they will always intersect at one point.
