# 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.

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.

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

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

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

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…

If 2 tangent segments are drawn to a ci…

The measure of an angle formed by 2 int…

The measure of an angle whose vertex is…

The measure of an angle formed by a tan…

then those segments are congruent.

is equal to half the sum of the measures of the intercepted ar…

is half of the difference of the two intercepted arcs.

is half the measure of the intercepted arc.

If 2 tangent segments are drawn to a ci…

then those segments are congruent.

The measure of an angle formed by 2 int…

is equal to half the sum of the measures of the intercepted ar…

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

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

circle

center

radius

chord

the set of all points in a plain that are equidistant from a g…

the point that all points of a circle are equidistant from

a segment whose endpoints are the center and any point on the…

a segment whose endpoints are on the circle

circle

the set of all points in a plain that are equidistant from a g…

center

the point that all points of a circle are equidistant from

Chord

Tangent

Inscribed Angle

Central Angle

A line segment in the circle that intersects two sides of the…

A line that intersects the circle at one point.

An angle whose vertex is on the circle and is half the arc it…

An angle whose vertex is at the center of the circle and is eq…

Chord

A line segment in the circle that intersects two sides of the…

Tangent

A line that intersects the circle at one point.

Circle

Center

Radius

Circumference

The set of all points in a plane equidistant from a single poi…

The single point that all the circle's points are equidistant…

A segment with endpoints on the center and the circle

The distance all the way around the circle (the length of the…

Circle

The set of all points in a plane equidistant from a single poi…

Center

The single point that all the circle's points are equidistant…

what is a tangent line

tangent conjecture

tangent segment conjecture

what are tangent circles

a like that intersects only one point on a circle of graph

a tangent to a circle is perpendicular to the radius drawn to…

tangent segments to a circle from the same point outside the c…

2 circles that are tangent to the same line at the same point

what is a tangent line

a like that intersects only one point on a circle of graph

tangent conjecture

a tangent to a circle is perpendicular to the radius drawn to…

Two Tangent Theorem

Chord-Chord Angle

Secant-Tangent Angle OR Tangent-Tangent…

Area of a sector

If 2 tangent segments are drawn to a circle from an external p…

The measure of a chord-chord angle equals half the sum of the…

The measure of an angle whose vertex is OUTSIDE a circle is ha…

Two Tangent Theorem

If 2 tangent segments are drawn to a circle from an external p…

Chord-Chord Angle

The measure of a chord-chord angle equals half the sum of the…

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

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

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…

circle

radius

chord

diameter

a set of coplanar points equidistant from a given point

a line segment drawn to any point on the circle from the center

a line segment with endpoints on the circle

a chord that passes through the center of the circle

circle

a set of coplanar points equidistant from a given point

radius

a line segment drawn to any point on the circle from the center