0
Add your answer:
Earn +20 pts
If a plane contains one point of a line then it must contain the entire line?
No, a plane can contain only one point of a line. Picture a piece of paper with a pencil stabbed through it. The paper is the plane, and the pencil is the line. The pencil/line only touches the paper/plane at one point. Hope this helped! If it did, please recommend me. -Brad
What is the intersecton of a plane and a line not contained in the plane?
Take a piece of paper and poke a pencil through it. That is a point.
What is the intersection of a plane and a line not on the plane?
point * * * * * or, nothing (if the line is parallel to the plane).
Lines on a hyperbolic plane are considered to be?
Hyperbolic geometry is a beautiful example of non-Euclidean geometry. One feature of Euclidean geometry is the parallel postulate. This says that give a line and a point not on that line, there is exactly one line going through the point which is parallel to the line. (That is to say, that does NOT intersect the line) This does not hold in the hyperbolic plane where we can have many lines through a point parallel to a line. But then we must wonder, what do lines look like in the hyperbolic plane? Lines in the hyperbolic plane will either appear as lines perpendicular to the edge of the half-plane or as circles whose centers lie on the edge of the half-plane
Can a plane contain one point of a line?
Yes, it can. A plane can contain any number of points of a line.
Is it true that only one plane can pass through one and a point that is not on the line?
If you mean "only one plane can pass through another plane and through a point that is not on the line formed by the intersection of the two planes," the answer is "no." If you rotate the plane about the point, it will still intersect the line unless it is parallel to the line. By rotating the plane, you have created other planes that pass through the unmoved plane and through the point that is not on the line formed by the intersection of the two planes.
Only 1 line can be drawn perpendicular to a given line at a given point?
Yes (in a Euclidean plane)..
Only one plane can pass through one line and a point that is not on the line?
I'd feel a lot more comfortable if you said "... can contain one line and a point ...".When you say "pass through one line", I picture a sword passing through a tight pieceof string. If that's how your plane passes through the line, then the statement in your"question" is false. If your plane contains the line and the extra point, then the statementis true ... only one plane can do that.
Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
How many distinct line can be drawn through two fixed point?
one
Can only one plane pass through one line and a point that is not on the line?
Yes
The intersection of a plane and a line is?
If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.
How many line can pass through a point in a plane?
an infinite number
If a plane contains one point of a line then it must contain the entire line?
No, a plane can contain only one point of a line. Picture a piece of paper with a pencil stabbed through it. The paper is the plane, and the pencil is the line. The pencil/line only touches the paper/plane at one point. Hope this helped! If it did, please recommend me. -Brad
What is the intersecton of a plane and a line not contained in the plane?
Take a piece of paper and poke a pencil through it. That is a point.
What is elliptical geometry and examples?
Elliptical geometry is like Euclidean geometry except that the "fifth postulate" is denied. Elliptical geometry postulates that no two lines are parallel.One example: define a point as any line through the origin. Define a line as any plane through the origin. In this system, the first four postulates of Euclidean geometry hold; through two points, there is exactly one line that contains them (i.e.: given two lines through the origin, there is one plane that contains them) and so on. However, it is nottrue that given a line and a point not on the line that there is a parallel line through the point (that is, given a plane through the origin, and a line through the origin, not on the plane, there is no other plane through the origin that is parallel to the given plane).
If Point p is on line m then how many plane are perpendicular to line m and also passes through point p?
1
