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29 Cards in this Set

  • Front
  • Back
circle
the set of points in a plane at a given distance from a given point
chord
a segment whose endpoints lie on a circle
secant
a line that contains a chord
diameter
a chord that contains the center of a circle
diameter is the biggest chord, and (r*2)
tangent
a line in the plane of a circle that intersects the circle in exactly one point
sphere
with center O and radius r, the set of all points in space at a distance from point O
congruent circles/spheres
circles/spheres that have congruent radii
concentric circles
circles that are in the same plane and have same center
if a line is tangent to a circle...
then the line is perpendiular to the radius drawn to the point of tangency
tangents to a circle....
from a point are congruent
if a line in the plane of a circle is perpendicular to the radius at its outer endpoint...
then the line is tangent to the circle
common tangent
a line tangent to each of two coplanar circles
common internal tangent
intersects segments joining centers
common external tangent
do not intersect segment joining centers
tangent circles
coplanar circles tangent to the same line at the same point
central angle
angle whose vertex is at the center of the circle
semi-cicles
if y and z are endpoints of a diameter, the two arcs are called semi-circles
measure of a minor arc
measure of its central angle
measure of a major arc
360-minor arc
arc add post
measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs
congruent arcs
arcs in the same or congruent circles that have equal measure
in the same circle or congruent circles, two minor arcs are congruent IFF...
their central angles are congruent
in the same or congruent circles, congruent arcs...
have congruent chords

(and the converse)
a diameter or radius that's perpendicular to a chord...
bisects the chord and its arc
in the same or congruent circles, chords equidistant from the center...
are congruent

(and congruent chords are equidistant from the center)
in the same or congruent circles, chords equidistant from the center...
are congruent

(and congruent chords are equidistant from the center)
45-45-90
the hypotenuse is root 2 times as long as the leg
30-60-90
the hypotenuse is twice as long as the shorter leg, and the longer leg is root 3 tiems as long as the shorter leg
Triples
3,4,5 5,12,13 10,24,26 8,15,17 7,24,25