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67 Cards in this Set
- Front
- Back
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on center
central angle |
angle = arc
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on circle
inscribed angle |
angle = 1/2 arc
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on circle
angle formed by a tangent and a chord |
angle = 1/2 arc
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inside circle
angle formed by two intersecting chords |
angle = 1/2(arc + arc)
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outside circle
angle formed by two secants |
angle = 1/2(far angle - close angle)
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outside circle
angle formed by a secant and a tangent |
angle = 1/2(far angle - close angle)
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outside circle
angle formed by two tangents |
angle = 1/2(far angle - close angle)
angle = (180 - close angle) |
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area
rectangle |
bh
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area
parallelogram |
bh
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area
rhombus (2) |
1/2d1d2
bh |
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area
sqaure (4) |
s^2
bh 1/2d1d2 1/2ap |
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area
triangle (3) |
1/2h
equilateral~ 1/2ap s(squared)(root)3 over 4 |
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area
trapezoid (2) |
1/2h(b1+b2)
mh |
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area
circle |
(pi)r^2
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area
regular polygon |
1/2ap
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lateral area
prism |
ph
perimeter x height |
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total area
prism |
LA + 2B
lateral area + 2 base areas |
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volume
prism |
Bh
base area x height |
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lateral area
pyramid |
1/2pl
1/2 perimeter x slant height |
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total area
pyramid |
LA + B
lateral area + base area |
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volume
pyramid |
1/3 Bh
1/3 base area x height 1/3 prism volume |
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lateral area
cylinder |
ph
perimeter x height circumference (2 pi radius) x height |
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total area
cylinder |
LA + 2B
lateral + 2 base areas |
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volume
cylinder |
Bh
base area x height |
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lateral area
cone |
pirl
pi x radius x slant height |
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total area
cone |
LA + B
lateral area + base area |
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volume
cone |
1/3Bh
1/3 base area x height 1/3 cylinder volume |
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total area
sphere |
4pir^2
4 x pi x r(squared) |
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volume
sphere |
4/3pir^3
4/3 x pi x r(cubed) |
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equidistant from 2 points (plane)
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a line (perpendicular bisector)
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equidistant from 2 points (space)
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a plane
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equidistant from sides of an angle (plane)
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a ray (angle bisector)
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equidistant from sides of an angle (space)
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...
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equidistant from 2 parallel lines (plane)
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a line parallel to both lines
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equidistant from 2 parallel lines ( space)
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a plane
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equidistant from 2 intersecting lines (plane)
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2 perpendicular lines
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equidistant from 2 intersecting lines (space)
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2 perpendicular planes
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equidistant from 3 nonlinear points (plane)
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1 point (circumcenter)
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equidistant from 3 nonlinear points (space)
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a line
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equidistant from 3 collinear points (plane)
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0 points
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equidistant from 3 collinear points (space)
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0 points
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equidistant from the sides of a triangle (plane)
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1 point (incenter)
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equidistant from the sides of a triangle (space)
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a line
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a fixed distance from a point (plane)
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circle
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a fixed distance from a point (space)
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1 sphere
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a fixed distance from a line (plane)
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2 parallel lines
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a fixed distance from a line (space)
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cylindrical shell
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a fixed distance from a line segment (plane)
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1 "slug"
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a fixed distance from a line segment (space)
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1 "capsule"
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a fixed distance from 2 intersecting lines (plane)
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4 points
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a fixed distance from 2 intersecting lines (space)
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...
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a fixed distance from a circle where distance < radius (plane)
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concentric circles
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a fixed distance from a circle where distance = radius (plane)
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1 point and 1 circle
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a fixed distance from a circle where distance < radius (space)
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a tarus donut
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a fixed distance from a circle where distance > radius (plane)
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1 circle
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a fixed distance from a circle where distance = radius (space)
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...
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a fixed distance from a circle where distance > radius (space)
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...
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perpendicular bisector sides of triangle
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circumcenter
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center of circumscribed circle
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circumcenter
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angle bisectors of triangle
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incenter
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equidistant from vertices of triangle
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circumcenter
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equidistant from sides of triangle
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incenter
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center of inscribed circle
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incenter
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medians of a triangle
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centroid
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trisection point for each median
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centroid
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center of gravity balance point
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centroid
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altitudes of triangle
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orthocenter
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