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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
