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24 Cards in this Set
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Circle def

A group of all points in a plane that are equidistant around a given point


Radius def

A segment with endpoints that are the center of the circle and the point on the circle. All radii are congruent


Chord def

Any segment whose endpoints are on the circle


Diameter def

A chord that passes through the center of the circle (longest chord)


Circumference

the distance around a circle (the circle's perimeter)


C=

Pi x the diameter


Central Angle

An angle formed by 2 radii and the vertex is at the center of the circle


The sum of the central angle angles with no common points is...

360!


Arc def

An unbroken part of a circle


the measure of the arc is equal to

the central angle


Minor arc

 LESS THAN 180 degrees, named with two letters


Major Arc

more than 180 degrees, named with three letters


Semicircle

a 180 degree arc formed by a diameter, named with three letters


Adjacent arcs

arcs that have exactly one point in common


Arc Addition postulate

two arcs can be added together to make a larger arc


Length of an arc

Pi x Diameter= cricumference...so, Pi(d) (x/360)= length of the arc


In a circle, or in congruent circles, two minor arcs are congruent IFF

their corresponding chords are congruent


IN a circle, if a diameter or radius is perpendicular to a chord, then...

it bisects that chord and it's arc.


In a circle, or in two congruent circles, two chords are concruent IFF

they are equidistant from the center of the circle.


Inscribed angle

An angle formed by two chords whose vertex is on the circle


The measure of an inscribed angle is

equal to the measure of its arc


If 2 inscribed angles in the same circle (or in two congruent circles) intercept the same arcs (or congruent arcs)

then the 2 angles are congruent


If an angle intercepts a semicircle, then

that angle is a right angle.


If a quadrilateral is inscribed in a circle,

then the opposite angles are supplementary
