Terms

Question 1

The intersection of a plane and a double right cone. Different types of this are produced by changing the angle and location of the intersection.

Answer 1

Conic sections

Question 2

4 types of conic sections that will never pass through the vertices of the cone

Answer 2

Circle, Ellipse, Hyperbola, Parabola

Question 3

If the right circular cone is cut by a plane parallel to its base, the intersection that will be formed is what?

Answer 3

Circle

Question 4

To generate this, the intersecting plane must be parallel to one side of the cone and it should intersect one of the cones

Answer 4

Parabola

Question 5

If the plane intersects one of the pieces of a cone and not parallel to the base, the intersection will be a what?

Answer 5

Ellipse

Question 6

To generate this, the plane intersect in both pieces of the cone and the plane must be perpendicular to the base of the cones

Answer 6

Hyperbola

Question 7

A locus of points equidistant from a fixed point called the center.

Answer 7

Circle

Question 8

Is a locus of points equidistant from a fixed point called the focus and fixed line called directrix

Answer 8

Parabola

Question 9

6 Properties of a Parabola

Answer 9

Orientation, Vertex, Focus, Directrix, Axis of Symmetry, Endpoints of the Latus Rectum

Question 10

The turning point of parabola

Answer 10

Vertex

Question 11

Fixed point in the parabola

Answer 11

Focus

Question 12

Fixed line in the parabola. Must have no intersection point with the parabola itself

Answer 12

Directrix

Question 13

Line that divides a parabola into two equal parts

Answer 13

Axis of Symmetry

Question 14

Chord that is perpendicular to the axis of symmetry and passing through the focus

Answer 14

Latus Rectum

Question 15

4 Orientation of a parabola

Answer 15

Upward, Downward, To the right, To the left

Question 16

Locus of points such that the distance from two points is a constant.

Answer 16

Ellipse

Question 17

Properties of Ellipse

Answer 17

Orientation, Center, Foci, Major Axis, Minor Axis, Lateral Recta, Eccentricity

Question 18

Fixed point in the ellipse

Answer 18

Foci

Question 19

The longest segment that can be plotted inside the ellipse

Answer 19

Major axis

Question 20

The segment perpendicular to the major axis and passes through the center

Answer 20

Minor axis

Question 21

The segment perpendicular to the major axis and passes through the foci

Answer 21

Lateral Recta

Question 22

Describe how round or how stretched the ellipse is

Answer 22

Eccentricity

Question 23

Orientation of an Ellipse

Answer 23

Horizontal, Vertical

Question 24

Is a locus of points such that its difference from two points is constant

Answer 24

Hyperbola

Question 25

Properties of Hyperbola

Answer 25

Orientation, Center, Foci, Transverse Axis, Conjugate Axis, Lateral Recta, Eccentricity, Asymptotes

Question 26

Lines that the hyperbola seems to intersect to

Answer 26

Asymptotes

Question 27

The segment perpendicular to the transverse axis and passes through the foci

Answer 27

Lateral Recta

Question 28

The segment joining the vertices of the hyperbola

Answer 28

Transverse axis

Question 29

The segment perpendicular to the transverse axis and passes through the center

Answer 29

Conjugate Axis

Question 30

Orientation of Hyperbola

Answer 30

Vertical, Horizontal