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What else can I help you with?
When does a plane and line intersect at one point?
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
Point is to line as line is to?
Plane. A point has no dimension, a line has one dimension, and a plane has two dimensions.
Can a line and a point not on that line lie in one and only one plane?
Yes, a line and a point not on that line lie in one and only one plane. According to the geometric principle, a line and a point not on that line define a unique plane, as there is only one way to extend the line and include the point to create a flat surface. This plane contains all the points that can be connected to the line while also including the external point.
How many points are found at the intersection of a line and a plane?
Zero (if the line is parallel to the plane), one (generally), or an infinite number (if the line is within the plane).
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.
Give a line and a point not on the line how many planes do they define?
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
Is a line lies in at least one plane a true statement?
The fact is that if you have one straight line, there are an infinite number of planes in which it lies. One can see this by simply rotating the plane around the line. Thus, "a line lies in at least one plane" is a true statement.
How many points are you a intersection of a line and a plane?
There are two possible answers; if the line is crossing the plane at an angle, then the line and the plane only intersect at one point. However, if the line is part of the plane, then the entire line intersects with the plane, and there are an infinite number of intersecting points.
Can a plane contain one point of a line?
Yes, it can. A plane can contain any number of points of a line.
What is it called when one line lies in a plane and one that does not lie in the plane?
When one line lies in a plane and another line does not lie in that plane, the two lines are referred to as "skew lines." Skew lines are non-parallel lines that do not intersect and are not coplanar. This means that, while one line exists entirely within the plane, the other line exists in a different three-dimensional space, making them distinct from parallel lines, which exist in the same plane.
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
