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Any plane that bisects a cone passing through the pointy tip and the diameter of the base i.e. through the axis of the cone, will be a plane of symmetry. Since any plane passing through the cone this way can be rotated by any angular increment and still remain a plane of symmetry, there are an infinite number of planes of symmetry.
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How many lines of symmetry does a circular cone have?
If it is a right circular cone, it has an infinite number of planes of symmetry. If it is an oblique circular cone, it has one plane of symmetry.
Why does a cylinder have one more plane of symmetry than a cone?
A cylinder and a cone have infinitely many planes of symmetry because of the circular face. However, a cylinder can also be cut in half lengthwise (imaging cutting a soda can in half), while a cone cannot (imagine cutting a ice cream cone in half). Therefore, a cylinder has one more plane of symmetry than a cone.
What is produced when you slice a cone with a plane that is parallel to the bass of the cone?
The points where the cone and plane intersect will form a circle.
Which type of symmetry does the tessellated plane have?
There are several different types of symmetry. Some of these include reflectional symmetry or rotational symmetry. It depends on how the plane has been tessellated.
How many lines of symmetry does a cone?
A triangle has only one line of symmetry but who ever says there are more than two is a idiot * * * * * A triangle, in general has NO line of symmetry, so who ever (or whoever) says there is one is and acts smart about it is a bigger idiot! That is even more so when the question is about a cone and not a triangle! What a loser! A cone, in general has no line of symmetry. A right cone has one.
How many lines of symmetry does a cone have?
A cone has infinitely many lines of symmetry. This is because any line passing through the apex (point) of the cone will divide it into two symmetrical halves. The cone's circular base also serves as a line of symmetry when paired with a corresponding line passing through the apex.
Does a can of soda have both axis of symmetry and plane symmetry?
If you ignore the print, then it has a plane of symmetry (possibly) but not an axis of symmetry. If you ignore the print and the "pop-top" part, then it has both.
What shape is formed by the intersection of a cone and a plane that is parallel to a cone's base not containing the cone's vertex?
The shape described by the intersection of the cone and the plane is simply a circle.
Does a square have a plane of symmetry?
No. A square is a plane figure and conventionally for plane figures symmetry is considered in terms of rotation about a point or an axis (in the plane of the figure) but not a plane outside the plane of the square.
If a right circular cone intersects a plane that runs parallel to the edge of the cone what will be the result?
The intersection of the cone and that particular plane is a parabola.
If a right circular cone intersects a plane that runs parallel to the edge of the cone is what?
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
Which of the following conic sections describes a closed circle?
The question is incomplete, because "the following" was not provided. A circle, however, is a conic section where the sectioning plane is perpendicular to the cone's axis of symmetry and intersects each generator or, more specifically, if it is not a right circular cone, parallel to the generating circle of the cone.
