# Study sets matching "geometry circles chapter 12"

Study sets

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Circle

Diameter

Radius

Chord

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

across the circle through the center of the circle

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

a segment whose endpoints are points on the circle (may or may…

Circle

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

Diameter

across the circle through the center of the circle

If a line is tangent to a circle, then

If a line in the plane of a circle is p…

If 2 tangent segments to a circle share…

Within a circle or in congruent circles…

The line is perpendicular to the radius at the point of tangen…

The line is a tangent to the circle.

The 2 segments are congruent.

Congruent arcs.

If a line is tangent to a circle, then

The line is perpendicular to the radius at the point of tangen…

If a line in the plane of a circle is p…

The line is a tangent to the circle.

Chord

Secant

Tangent

Theorem 1

a segment whose endpoints are points on the circle (may or may…

a line that intersects a circle in 2 points

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

If a line is tangent to a circle, then it is perpendicular to…

Chord

a segment whose endpoints are points on the circle (may or may…

Secant

a line that intersects a circle in 2 points

adjacent arcs

arc

arc length

central angle

two arcs of the same circle that intersect at exactly one point

an unbroken part of a circle consisting of two points on the c…

the distance along an arc measured in linear units

an angle whose vertex if the center of a circle

adjacent arcs

two arcs of the same circle that intersect at exactly one point

arc

an unbroken part of a circle consisting of two points on the c…

Tangent to a circle

Two tangents from the same point

Chord

Arc of a chord

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

Are congruent

A segment whose endpoints lie on a circle

A minor arc that has the same endpoints as a chord is called a…

Tangent to a circle

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

Two tangents from the same point

Are congruent

Tangent to a circle

Point of tangency

Inscribed in

Circumscribed about

A line at intersects a circle in exactly one point. (Not locat…

The point where a tangent line intersects a circle. (Location)

A circle that is fully within another shape (Polygon)

A circle that is fully outside of another shape and intersects…

Tangent to a circle

A line at intersects a circle in exactly one point. (Not locat…

Point of tangency

The point where a tangent line intersects a circle. (Location)

radius

pi

circle

circumference

a segment with one endpoint on the circle and one endpoint at…

the ratio of a circle's circumference to its diameter

the locus of points in a plane that are a fixed distance from…

the distance around a circle

radius

a segment with one endpoint on the circle and one endpoint at…

pi

the ratio of a circle's circumference to its diameter

Circle

Congruent Circles

Radius

Diameter

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

Two circles that have congruent radii.

The distance from the center to any point on the circle.

A straight line passing from side to side through the center o…

Circle

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

Congruent Circles

Two circles that have congruent radii.

Circle

Diameter

Radius

Congruent Circles

Set of all points equidistant from the given point called "Cen…

Segment from one side of the circle to the other side.

Half of the diameter; One endpoint at the center, other on the…

Circles that have a congruent radii.

Circle

Set of all points equidistant from the given point called "Cen…

Diameter

Segment from one side of the circle to the other side.

chord

secant

tangent

point of tangency

segment whose endpoints lie on a circle

line that intersects a circle at two points

line in the same plane as a circle that intersects the circle…

What is the point at which a tangent intersects a circle calle…

chord

segment whose endpoints lie on a circle

secant

line that intersects a circle at two points

Tangent line

Point of tangency

Perpendicular, radius

(n-2)180

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

the point where a circle and a tangent intersect

A tangent is ______ to the ______ of the circle at the point o…

Sum of angle measure formula

Tangent line

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

Point of tangency

the point where a circle and a tangent intersect

Adjacent Arcs:

Arc:

Arc length:

Two arcs of the same circle that intersect at exactly one point

An unbroken part of a circle consisting of two points on the c…

The distance along an arc measured in linear units

Adjacent Arcs:

Two arcs of the same circle that intersect at exactly one point

Arc:

An unbroken part of a circle consisting of two points on the c…

Inscribed Angle Theorem

Corollary 1: Inscribed Angles

Corollary 2: Inscribed Semicircle

Corollary 3: Inscribed Quadrilateral

m Any Angle= 1/2 m Intercepted Arc

two inscribed angles that intercept the same arc are congruent

an angle inscribed in a semicircle is a right angle

opposite angles of a quadrilateral inscribed in a circle are s…

Inscribed Angle Theorem

m Any Angle= 1/2 m Intercepted Arc

Corollary 1: Inscribed Angles

two inscribed angles that intercept the same arc are congruent

Circle

center

radius

Diameter

A round plane figure whose boundary consists of points equidis…

The point at the middle of the circle

A straight line segment that reaches from the center of the sh…

A straight line segment passing through the center of a shape…

Circle

A round plane figure whose boundary consists of points equidis…

center

The point at the middle of the circle

radius

sphere

semicircle

point of tangency

the given distance from the center of the circle to a point on…

the set of all points equidistant from a given point

half a circle; arc that has a measure equal to 180°

the point of intersection of a tangent and a circle

radius

the given distance from the center of the circle to a point on…

sphere

the set of all points equidistant from a given point

If a line is tangent to a circle, then

If a line in the plane of a circle is p…

If 2 tangent segments to a circle share…

Within a circle or in congruent circles…

The line is perpendicular to the radius at the point of tangen…

The line is a tangent to the circle.

The 2 segments are congruent.

Congruent arcs.

If a line is tangent to a circle, then

The line is perpendicular to the radius at the point of tangen…

If a line in the plane of a circle is p…

The line is a tangent to the circle.

Circle

Center

Radius

Chord

Defined as the set of all points a set distance from the center

A circle is named by its

a line segment that connects the CENTER of the circle with any…

a line segment with BOTH points ON the circle

Circle

Defined as the set of all points a set distance from the center

Center

A circle is named by its

Circle

Concentric

Chord

Diameter

A circle is the set of all points in a plane that are at a giv…

Circles are concentric iff they lie in the same plane and have…

A chord of a circle is a line segment that joins two points on…

The diameter of a circle is a chord that contains the center

Circle

A circle is the set of all points in a plane that are at a giv…

Concentric

Circles are concentric iff they lie in the same plane and have…

Center of a Circle

Radius

Diameter (segment)

Chord

a point equidistant to every point on a circle and named by ce…

segment joining center of circle to a point on the circle

segment joining two points on the circle and must pass through…

a segment joining 2 points on a circle but does not go through…

Center of a Circle

a point equidistant to every point on a circle and named by ce…

Radius

segment joining center of circle to a point on the circle

Chord

Secant

Tangent

Point of tangency

Segment that has endpoints on a circle.

Line that intersects a circle at 2 Points

Line that is in the same plane as a circle and intersects the…

Point of intersection of a circle or sphere with a tangent lin…

Chord

Segment that has endpoints on a circle.

Secant

Line that intersects a circle at 2 Points

Circle

Radius (Radii)

Center

Chord

The set of all points in a plane equidistant from a given poin…

Segment between the center of a circle and a point on the circ…

The point from which all points of the circle are equidistant.

An interior segment whose endpoints are on the circle.

Circle

The set of all points in a plane equidistant from a given poin…

Radius (Radii)

Segment between the center of a circle and a point on the circ…

circle

center

radius

chord

all the points in a plane equidistant from a given point

the point in a circle from which all points in the plane are e…

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

a segment whose endpoints are on the circle

circle

all the points in a plane equidistant from a given point

center

the point in a circle from which all points in the plane are e…

Radius

Diameter

Chord

Secant

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

A chord that passes through the center of the circle

A segment whose endpoints lie on a circle

Any line that intersects a circle in exactly two points

Radius

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

Diameter

A chord that passes through the center of the circle

adjacent arcs

arc

arc length

central angle

two arcs of the same circle that intersect at exactly one point

an unbroken part of a circle consisting of two points on the c…

the distance along an arc measured in linear units

an angle whose vertex if the center of a circle

adjacent arcs

two arcs of the same circle that intersect at exactly one point

arc

an unbroken part of a circle consisting of two points on the c…