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A conic section is the intersection of a plane and a cone.
The circle is a conic section where the plane is perpendicular to the axis of the cone. The special case of a point is where the vertex of the cone lies on the plane.
The ellipse is a conic section where the plane is not perpendicular to the axis, but its angle is less than one of the nappes. The special case of a point is where the vertex of the cone lies on the plane.
The parabola is a conic section where the plane is parallel to one of the nappes. The special case of two intersecting lines is where the vertex of the cone lies on the plane.
The hyperbole is a conic section where the angle of the plane is greater than on of the nappes. There are two sides to the hyperbole. The special case of two lines intersecting is where the vertex of the cone lies on the plane.
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What are the four kinds of parabolas?
Conic Sections are figures that can be formed by slicing a three dimensional right circular cone with a plane. There are different ways to do this, and each way yields a different figure. These figures can be represented on the graph as well as algebraically. The four conic sections are circles, ellipses, parabolas, and hyperbolas.
What 2D shape looks like a squashed circle and no straight edges?
an ellipse, one of the four types of "conic sections": ellipse, circle, parabola, and hyperbola
What is each of the four sections created by the intersecting lines called?
the four sections created by the coordinate axes
What are the differences between a circle and a square?
A square has four corners whereas a circle doesn't.
Four sections that divide a coordinate grid?
The intersecting x- and y-axes divide the coordinate plane into four sections.
