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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 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 will be what?
parabola
Is it true that if two lines are crossed by a transversal the two lines are parallel?
A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.
If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?
An ellipse 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 as in the picture below what shape is produced?
A line is produced
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 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.
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 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.
What shape is the magnetic field produced when current is passed through wire?
CIRCULAR
Why is bologna shaped like a circle?
When it is produced it is processed through a tube, giving it a circular shape.
How many pairs of alternate interior angles are formed by two lines that are intersected by a transversal?
Providing that the lines are parallel that the transversal passes through then it will have two equal alternate angles that are on opposite sides of the transversal.
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 what shape is produced?
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, the shape produced is a line. Not asked, but... If the angle of the plane is less than the angle of the cone, then the intersection is a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane insersects at other than the vertex, then the intersection is a circle when the plane is perpendicular to the cone's axis, an ellipse when the plane's angle is less than the cone's angle, a parabola when the planes's angle equals the cone's angle, and two hyperbole's in the last case.
