Midterm Reviewer - Pre Calculus

Curves formed by the intersection of a plane with one or two nappes of a cone.

Circle, parabola, ellipse, and hyperbola formed by the intersection of a plane with a cone.

A conic section formed when the plane is parallel to the base of the cone.

A conic section formed when the plane intersects only one cone to form an unbounded curve.

A conic section formed when the tilted plane intersects only one cone to form a bounded curve.

A conic section formed when the plane intersects both cones to form an unbounded curve.

Conic sections resulting from a plane intersecting the double cone and passing through the apex.

A degenerate conic section resulting from a plane intersecting the double cone at a single point.

A degenerate conic section resulting from a plane intersecting the double cone in a straight line.

A degenerate conic section resulting from a plane intersecting the double cone in two intersecting lines.

The general form equation for a conic section, where A, B, and C are not all zero.

A circle has A = C ≠ 0 in the general form equation.

A parabola has AC = 0 in the general form equation.

An ellipse has AC > 0 in the general form equation.

A hyperbola has AC < 0 in the general form equation.

A set of all points in a plane equidistant from a fixed point called the center.

A portion of the circumference of a circle.

A line segment connecting two points on a circle.

A chord that passes through the center of a circle.

The distance from the center of a circle to any point on its circumference.

A straight line that intersects a circle in two points.

A line that touches a circle at a single point.

The region bounded by an arc of a circle and the two radii to the arc's endpoint.

Equations for a circle with its center at the origin or at (h, k) and its radius r.

The locus of all points in the plane whose distances from a fixed point and a fixed line are the same.

A fixed point on a parabola.

A fixed line not passing through the focus of a parabola.

A line passing through the focus and perpendicular to the directrix of a parabola.

A line segment passing through the focus and perpendicular to the axis of symmetry of a parabola.

Equations for a parabola with its focus, directrix, and axis of symmetry.

The set of all points in a plane whose sum of distances from two specific points is a constant.

Two fixed points on an ellipse.

The midpoint of the foci of an ellipse.

The longest diameter of an ellipse passing through the foci.

The shortest diameter of an ellipse perpendicular to the major axis at the center.

Half of the major axis of an ellipse.

Half of the minor axis of an ellipse.

Equations for an ellipse with its center at the origin or at (h, k).

The set of all points in a plane whose distances from two fixed points have an absolute difference equal to a constant.

The separate curves that form a hyperbola.

The points on the separate branches of a hyperbola where the distance is at a minimum.

The midpoint between the vertices of a hyperbola.

Lines that a hyperbola approaches as it heads towards infinity.

The line segment formed by the vertices of a hyperbola.

The line segment perpendicular to the transverse axis through the center of a hyperbola.