Introduction to Conics

These are two-dimensional curves made by the intersection of a plane and a double right circular cone. What are these?

• Plane figures

• Undefined geometrical figures

• Conic Sections

• Double-napped cone

Tags

CCSS.7.G.A.3

What conic section is pictured?

• Circle

• Ellipse

• Parabola

• Hyperbola

Tags

CCSS.7.G.A.3

What conic section is pictured?

• Circle

• Ellipse

• Parabola

• Hyperbola

Tags

CCSS.7.G.A.3

Why are Conic Sections given this name?

• They are the cross-sections given when a cone is sliced.

• Because it's part of 'da rules'

• They are the cross-sections given when any 3D image is sliced.

Tags

CCSS.7.G.A.3

Which of the following statements are NOT true

• The minor axis of a vertical ellipse is vertical

• The transverse axis of a horizontal hyperbola is horizontal.

• Another name for the transverse axis of a hyperbola is the minor axis.

• If the equation of a circle is: x² + y² = 8, the diameter of the circle is 16.

• The parabola 12y = 6x² -30 opens up

Tags

CCSS.HSG.GPE.A.1

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

Which of the following are true?

• A parabola has 2 foci.

• A circle's diameter is equal to it's radius squared

• A hyperbola uses a²+b²=c²

• An ellipse uses a²+b²=c²

• The distance from the center to a vertex along the transverse axis is 'a' in a hyperbola

A/An __________________ is the set of all points in a plane such that the absolute value of the difference of distances from two fixed points is constant.

• parabola

• ellipse

• circle

• hyperbola

• Circle

• Ellipse

• Parabola

• Hyperbola

Tags

CCSS.HSG.GPE.A.1

What is being formed when the plane passes through the vertex of the double circular cone?

• Degenerate Conic

• Conic figure

• Hyperbola

• Curve

Tags

CCSS.7.G.A.3