"Conic Graph Paper Worksheet - Algebra II 3/4, Conic Sections"

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Conic Graph Paper
NAME_________________________
ALGEBRA II 3/4
Conic Sections
DATE __________ Per.___________
Each diagram consists of overlapping circles whose radii increase by 1 from smaller to larger.
3.
b) Choose a
a) Mark all points
number ≠ 12, but
of intersection
bigger than 10 and
between circles
repeat
whose radii have
part a.
a constant sum of
12. (e.g. 11+1,
10+2, 9+3, 8+4,
7+5, 6+6, ...)
Connect the
points that are
closest to each
other from circle
to circle.
b) Choose
4.
another whole
number repeat
Mark all points of
part a with this
intersection
choice of radii
between circles
difference.
whose radii have
a constant
difference of 8.
(e.g. 10–2, 9–3,
8–5, etc...)
Connect the
points that are
closest to each
other from circle
to circle. There
will be two
branches.
Match each picture (i.e. problem #) with the conic section figure’s definition below.
5.
An ellipse is the set of all points (or locus) whose sum of distances from two points is constant.
A hyperbola is the locus of points whose difference from two other points is constant.
A parabola is the locus of all points equidistant from a point and a line.
What would the definition of the conic section for a circle be?
How could a ray be considered a conic section?
Conic Graph Paper
NAME_________________________
ALGEBRA II 3/4
Conic Sections
DATE __________ Per.___________
Each diagram consists of overlapping circles whose radii increase by 1 from smaller to larger.
3.
b) Choose a
a) Mark all points
number ≠ 12, but
of intersection
bigger than 10 and
between circles
repeat
whose radii have
part a.
a constant sum of
12. (e.g. 11+1,
10+2, 9+3, 8+4,
7+5, 6+6, ...)
Connect the
points that are
closest to each
other from circle
to circle.
b) Choose
4.
another whole
number repeat
Mark all points of
part a with this
intersection
choice of radii
between circles
difference.
whose radii have
a constant
difference of 8.
(e.g. 10–2, 9–3,
8–5, etc...)
Connect the
points that are
closest to each
other from circle
to circle. There
will be two
branches.
Match each picture (i.e. problem #) with the conic section figure’s definition below.
5.
An ellipse is the set of all points (or locus) whose sum of distances from two points is constant.
A hyperbola is the locus of points whose difference from two other points is constant.
A parabola is the locus of all points equidistant from a point and a line.
What would the definition of the conic section for a circle be?
How could a ray be considered a conic section?