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Is it true that three lines that intersect at the same point are on the same plane?
Wiki User
∙ 12y ago
No. See everything has some kind of plane, and planes keep on going on and on for infinity, as well as lines. Say you have this line going left to right, and the plane that it is on is laying flat and also going from left to right and extending out in all directions. Then you have this other line that goes up to down, and the plane that it is on also runs up and down laying straight up and down and exiting out in all directions. And finally you have a third line that runs diagonally from corner to corner, and the plane that it is on is going from corner to corner as well. Now you have three different lines that all meet in about the center point but are all on different planes. Do you see? If not, think of it this way. Draw a box. Then put one line right in the center going up and down cutting the box in half. Next draw a second line in the center going left to right cutting the box in quarters. Now draw a third line going from one corner to the other (starting in no particular corner). Next imagine that each line expands out in all directions creating their own plane. Like a three dimensional figure you'd see in a geometry book. Now the lines are all on different planes but they still intersect in the center of your original box that you drew. Get it?
Wiki User
∙ 12y ago
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Three lines that intersect in a point but do not all lie in the same plane?
collinear plane
Do three lines that intersect at the same point have to be at the same plane?
No they can be Collinear - Points that lie on the same line.
Do three lines intersect in only one point?
It's possible, but for any three lines in the same plane, there could be ether one point of intersection (unlikely) or three (more probably).
Can three lines intersect a on point?
Yes, in Euclidean geometry, an infinite number of lines can meet at one point.
Do 3 lines that intersect in 3 points?
A triangle? Three lines that intersect in three points.
Three lines that intersect in a point but do not all lie in the same plane?
collinear plane
Three lines that intersect at the same point must all be in the same plane?
no
Do three lines that intersect at the same point have to be at the same plane?
No they can be Collinear - Points that lie on the same line.
Do three lines intersect in only one point?
It's possible, but for any three lines in the same plane, there could be ether one point of intersection (unlikely) or three (more probably).
Does three points intersect at a single point?
No, only three lines can intersect at a single point.
Does three lines intersect at the same point must all be in the same plane?
No. Any pair of the three will describe a plane, so the three possible pairs describe three planes.
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
What do you need to make a polygon?
Three or more straight lines in a plane such that they intersect pairwise.
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.
Can three lines intersect a on point?
Yes, in Euclidean geometry, an infinite number of lines can meet at one point.
