# Study sets matching "honors geometry circle"

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Circle

Central Angle Theorem

Arc Addition Postulate

Length of Arc

A set of points

**in a plane**that is equidistant from a given…The measure of a central angle is equal to its intercepted arc.

Part + part = whole... mEA + mAB = mEAB

part / whole = part / whole... measure of central angle / 360 = x…

Circle

A set of points

**in a plane**that is equidistant from a given…Central Angle Theorem

The measure of a central angle is equal to its intercepted arc.

circle

center

radius

diameter

all points the same distance from the center

the middle point of a circle

a segment with endpoints at the center and on the circle

segment that passes through the centerof the circle

circle

all points the same distance from the center

center

the middle point of a circle

Circle

Sphere

Radius

Diameter

The set of all points in a plane equidistant from one point

The set of all points equidistant from one point

A segment with an endpoint at the center and on the edge of th…

A chord that passes through the center of the circle

Circle

The set of all points in a plane equidistant from one point

Sphere

The set of all points equidistant from one point

Chord Central Angles Conjecture

Chord Arcs Conjecture

Perpendicular to a Chord Conjecture

Chord Distance to Center Conjecture

If two chords in a circle are congruent, then they determine t…

If two chords in a circle are congruent, then their intercepte…

The perpendicular from the center of a circle to a chord is th…

Two congruent chords in a circle are equidistant from the cent…

Chord Central Angles Conjecture

If two chords in a circle are congruent, then they determine t…

Chord Arcs Conjecture

If two chords in a circle are congruent, then their intercepte…

Chord Central Angles Conjecture

Chord Arcs Conjecture

Perpendicular to a Chord Conjecture

Chord Distance to Center Conjecture

If two chords in a circle are congruent, then they determine t…

If two chords in a circle are congruent, then their intercepte…

The perpendicular from the center of a circle to a chord is th…

Two congruent chords in a circle are equidistant from the cent…

Chord Central Angles Conjecture

If two chords in a circle are congruent, then they determine t…

Chord Arcs Conjecture

If two chords in a circle are congruent, then their intercepte…

chord

secant

diameter

tangent

a segment whose endpoints lie on a circle

a line that contains a chord

a chord that contains the center of a circle

a line in the plane of a circle that intersects the circle in…

chord

a segment whose endpoints lie on a circle

secant

a line that contains a chord

1st theroem

Converse of 1st

2nd theorem

3rd theorem

If a radius connects to a point of tangency then they are perp

If a radius is perp to a line then that line is the tangent

If 2 segments are tangents and share the same endpoint then th…

If a cord is congruent to another chord then the corresponding…

1st theroem

If a radius connects to a point of tangency then they are perp

Converse of 1st

If a radius is perp to a line then that line is the tangent

Circle

Center

Radius

Diameter

The set of all points in a plane that are the same distance fr…

center

A line segment with one endpoint at the center of a circle and…

A chord that passes through the center of the circle

Circle

The set of all points in a plane that are the same distance fr…

Center

center

median

concurrent lines

point of concurrency

centroid

a line segment whose endpoints are a vertex of a triangle and…

three or more lines that intersect in a single point

the point of current lines

the point of concurrency of the medians -OR- the center of mas…

median

a line segment whose endpoints are a vertex of a triangle and…

concurrent lines

three or more lines that intersect in a single point

Center

Chord

Secant

Point of Tangency

given point from which all points on a circle are the same dis…

A segment whose endpoints are 2 points... on a circle.

A line that intersects a circle in two points

Point where a Tangent segment touches a circle

Center

given point from which all points on a circle are the same dis…

Chord

A segment whose endpoints are 2 points... on a circle.

circles

radius

chord

secant

the set of all points in a plane at a given distance from a gi…

any segment joining the center of the circle to a point on the…

a segment who's endpoints lie on a circle

a line that contains a chord of a circle

circles

the set of all points in a plane at a given distance from a gi…

radius

any segment joining the center of the circle to a point on the…

Arc

Central Angle

Intercepted Arc

Inscribed Triangle

Contains two points on a circle and the continuous part betwee…

An angle whose vertex is the center of a circle and whose side…

An arc that lies on the interior of an angle with endpoints on…

Triangle with all three vertices on the circle

Arc

Contains two points on a circle and the continuous part betwee…

Central Angle

An angle whose vertex is the center of a circle and whose side…

Circle

Chord

Radius

Diameter

Set of all points that are a fixed distance, or that have a fi…

A line that intersects the circle at two points. It starts at…

Any line segment that connects the center to a point on the ci…

Chord that goes through the center of the circle. Its length i…

Circle

Set of all points that are a fixed distance, or that have a fi…

Chord

A line that intersects the circle at two points. It starts at…

Chord

Secant

Tangent

Point of Tangent

Segment whose endpoints lie on the circle

Line that intersects a circle at TWO points

Line in the same place of circle

Where tangent and circle intersect : for example J and F are t…

Chord

Segment whose endpoints lie on the circle

Secant

Line that intersects a circle at TWO points

circle

radius

chord

diameter

the set of all points in the plane, equidistant from a central…

segment drawn from the center to the circle's edge.

segment where end points are on the circle's edge.

Longest chord in the circle. Passes through the center. d=2r

circle

the set of all points in the plane, equidistant from a central…

radius

segment drawn from the center to the circle's edge.

A circle is

The center of the circle is

A chord is a

A secant is a

the locus of points in a plane at a fixed distance from a fixe…

the fixed point, and the given distance is the radius.

segment whose endpoints lie on a circle.

line that contains a chord.

A circle is

the locus of points in a plane at a fixed distance from a fixe…

The center of the circle is

the fixed point, and the given distance is the radius.

circle

radius (r)

chord

diameter

the set of all points in a plane that are a fixed distance fro…

the distance from the center of a circle to ANY point on the c…

a segment whose endpoints lie on the circle

a chord that contains the center of the circle

circle

the set of all points in a plane that are a fixed distance fro…

radius (r)

the distance from the center of a circle to ANY point on the c…

circle

radius

chord

diameter

set of all endpoints equidistant from a given point (center).

segment whose endpoints are the center and any other endpoint…

segment whose endpoints are points on the circle.

chord that contains the center and two opposing radii

circle

set of all endpoints equidistant from a given point (center).

radius

segment whose endpoints are the center and any other endpoint…

Central Angle

Inscribed Angles

Vertical Angles

Exterior Angles

Angles AOC and arc AC are congruent

Angle ABC is 1/2 of arc AC

Remember, you are finding the average of the arcs!

Remember, you are subtracting the arcs and dividing by 2!

Central Angle

Angles AOC and arc AC are congruent

Inscribed Angles

Angle ABC is 1/2 of arc AC