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In geometry, a point is a specific location in space with no dimensions, represented by a dot. A line is a straight one-dimensional figure that extends infinitely in both directions, defined by at least two points. A plane is a flat, two-dimensional surface that extends infinitely in all directions, defined by three non-collinear points. Together, these three concepts form the foundational elements of geometric understanding.
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What is formed by the intersection of a line and a plane if the line does not lie in the plane?
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
What are the 3 undefined terms in geometry?
point, line and plane
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
What is the intersection of a line and a plane?
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
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.
What is formed by the intersection of a line and a plane if the line does not lie in the plane?
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
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.
What are the 3 undefined terms in geometry?
point, line and plane
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).
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
If point is to line line is to what?
plane
What is the intersection of a line and a plane?
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
where does a plane intersect in geometry?
A plane intersects a line at a point, and i plane intersects another plane at a line.
What do you find at the intersection of a plane an a line?
Unless the line is a subset of the plane, the intersection is a point.
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.
What are the 3 unedifying terms in geometry geometry?
Point ; Line ; Plane - Remember the Point-Line-Plane Postulate
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.
