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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


semicicles

if y and z are endpoints of a diameter, the two arcs are called semicircles


measure of a minor arc

measure of its central angle


measure of a major arc

360minor 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) 

454590

the hypotenuse is root 2 times as long as the leg


306090

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
