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If a circular cone is intersected by a plane only at its vertex what shape is produced?
When a circular cone is intersected by a plane at only its vertex, the resulting shape is a single point, which is the vertex itself. There are no other intersecting points along the surface of the cone. Thus, no additional geometric figure is formed beyond this singular point.
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe as in the picture below what shape is produced?
When a right circular cone is intersected by a plane that passes through its vertex and touches the edge of each nappe, the resulting shape is a triangle. This triangle is formed by the intersection line extending from the vertex to the edges of the cone's surfaces, effectively creating a triangular cross-section of the cone.
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.
If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a n?
If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.
Does a hemisphere have a vertex?
No but it has a circular edge
What shape is produced if a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex?
An Ellipse
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?
It will be a hyperbola.
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?
hyperbola
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?
hyperbola
If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex as in the picture below what shape is produced?
A line is produced
If a right circular cone intersects a plane that goes through both nappes of the cone but not through the vertex the resulting curve will be what?
if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola
Two nappes of a right circular cone meet at a point called the?
Two nappes of a right circular cone meet at a point called the vertex.
If a right circular cone is intersected by a plane only at its vertex what figure it is?
A point.
If a circular cone is intersected by a plane so that the intersection goes through its vertex as well as the edge of the nappe what shape is produced?
If I understand your description correctly, a line.
What is the name of the point where the two nappes of a right circular cone meet as shown below?
It is the vertex. It can also be called the apex but that has a connotation of being the top-most point and so is not appropriate when both nappes are concerned.
If a right circular cone is intersected by a plane only at its vertex what shape is produced?
The intersection will consist of only one point.
What are the vertex or point where 2 lines have intersected?
Acute angles.
