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What is the length of an arc equation?

What are the 2 equations for circumfer…

If chords are congruent, then

From the midpoint of the arc to the ra…

2πr... πd

intercepted arcs are congruent

angle is right

What is the length of an arc equation?

What are the 2 equations for circumfer…

2πr... πd

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…

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

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

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

Chord Central Angles Conjecture

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

Chord Arcs Conjecture

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

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…

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

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

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

Chord Central Angles Conjecture

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

Chord Arcs Conjecture

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

Circle

Radius

Chord

Diameter

A set of points in a plane equidistant from a specific point

A segment from the center of the circle to the circle

A segment whose endpoints are on the circle

A chord which goes through the center of a circle

Circle

A set of points in a plane equidistant from a specific point

Radius

A segment from the center of the circle to the circle

Circle

radius

chord

diameter

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

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

a line segment connecting any 2 points on the circle

a chord that goes through the center of a circle; the longest…

Circle

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

radius

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

Circle

Center

Radius

Diameter

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

center

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

A chord that passes through the center of the circle

Circle

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

Center

center

how do you name a circle

radius

diameter

cord

by its center

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

two radius together

any line segment that has endpoints on the circle and is in t…

how do you name a circle

by its center

radius

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

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 ma…

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

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…

Chord

Segment whose endpoints lie on the circle

Secant

Line that intersects a circle at TWO points

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 fix…

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 fix…

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 fr…

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

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 fr…

radius (r)

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

circle

radius

chord

diameter

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

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

a line segment connecting any two points on a circle

a chord that goes through the center of a circle; the longest…

circle

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

radius

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

If a line through the center of a circ…

If a line through the center of a circ…

The perpendicular bisector of a chord…

If a line is tangent to a circle...

it also bisects the chord

it is also perpendicular to the chord.

the center of the circle.

it is perpendicular to the radius drawn to the point of contact

If a line through the center of a circ…

it also bisects the chord

If a line through the center of a circ…

it is also perpendicular to the chord.

circle

How do you name a circle?

chord

diameter

the locus of all points in a plane equidistant from a given p…

by the center point

any segment with endpoints that are on the circle

a chord that passes through the center

circle

the locus of all points in a plane equidistant from a given p…

How do you name a circle?

by the center point

Circle

Center

Chord

Diameter

A set of all points in a plane that equidistant from a given…

A given point in a circle in which all points in a plane are…

Any line segments with endpoints on the circle

Longest chord which goes through the center- two radiuses

Circle

A set of all points in a plane that equidistant from a given…

Center

A given point in a circle in which all points in a plane are…

Arc

Intercepted arc

Minor Arc

Major Arc

Points on the circle and in between two identified points

Created by an angle intersecting the circle

Arc created by an angle less than 180 degrees

Arc created by an angle over than 180 degrees

Arc

Points on the circle and in between two identified points

Intercepted arc

Created by an angle intersecting the circle

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

chord

arc

circumference

central vertex

a segment whose endpoints are on a circle

an unbroken part of a circle consisting of 2 endpoints on the…

the distance around a circle

"center": all points on a circle are equidistant from the cen…

chord

a segment whose endpoints are on a circle

arc

an unbroken part of a circle consisting of 2 endpoints on the…

Circle

Radius

Chord

Diameter

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

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

a segment whose endpoints are on a circle

a chord that contains the center of the circle

Circle

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

Radius

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

Circle

Radius

Diameter

Tangent

set of all the points in a plane at a given point

the distance from given center A to B

line segment that has two endpoints on/in the circle

line that intersects the circle once

Circle

set of all the points in a plane at a given point

Radius

the distance from given center A to B

Define circle

Define radius

Define chord

Define diameter

the set of points equidistant from a point

distance from the center to a point on the circle

segment whose end points lie on the circle

distance across the circle through the center

Define circle

the set of points equidistant from a point

Define radius

distance from the center to a point on the circle

Circle Pairs

Sum of Central Angles

arc

Circumference

if radius' GH is congruent to JK. So circle G is congrunet to…

The sum of the measures of the entrral angles of a circle wit…

line that connects two points on the outside line of a circle

C=pi**d or C=2pi**r

Circle Pairs

if radius' GH is congruent to JK. So circle G is congrunet to…

Sum of Central Angles

The sum of the measures of the entrral angles of a circle wit…

Circle

Center of the circle

Radius

Chord

a set of coplanar points equidistant from a given point

given point

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

a line segment with endpoints on the circle

Circle

a set of coplanar points equidistant from a given point

Center of the circle

given point

The common internal tangent problem is…

The common external tangent problem is…

The walk around problem is solved usin…

Always remember all radii

Similar triangles & Pythagorean theorem

Drawing a line connecting centers and another line dividing t…

Variable then setting many radii equal

Are equal

The common internal tangent problem is…

Similar triangles & Pythagorean theorem

The common external tangent problem is…

Drawing a line connecting centers and another line dividing t…

circle

center

diameter

radius

Set of points in plane equidistant from given point called ce…

Point inside circle equidistant from every point on circle

Chord that passes through center of circle; longest chord

Segment whose endpoints are center and point on circle

circle

Set of points in plane equidistant from given point called ce…

center

Point inside circle equidistant from every point on circle

Radius

Center (of a circle)

Diameter

Two circles are congruent if...

is the distance from the center to a point on the circle; is…

is a given point that is equidistant to the set of all point…

is the distance across the circle, through its center; is a c…

the two circles have the same radius

Radius

is the distance from the center to a point on the circle; is…

Center (of a circle)

is a given point that is equidistant to the set of all point…

Semicircle

Minor Arc

Major Arc

Central Angle

An arc whose endpoints are the endpoints of a diameter

An arc of a circle that is shorter than a semicircle

An arc of a circle that is longer than a semicircle

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

Semicircle

An arc whose endpoints are the endpoints of a diameter

Minor Arc

An arc of a circle that is shorter than a semicircle

Minor arcs and congruent chords theorem

Diameter and chord theorem

Chord equidistance theorem

Inscribed angle theorem

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

In a circle, if a diameter is perpendicular to a chord, then…

In a circle or congruent circles two chords are congruent if…

If an angle is inscribed in a circle, then the measure of the…

Minor arcs and congruent chords theorem

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

Diameter and chord theorem

In a circle, if a diameter is perpendicular to a chord, then…

Two Tangent Theorem

Chord-Chord Angle

Secant-Tangent Angle OR Tangent-Tangen…

Area of a sector

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

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 h…

Two Tangent Theorem

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

Chord-Chord Angle

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

secant

tangent

point of tangency

concentric circles

line that contains a chord

a line that touches the circle in one point, forms a 90 degre…

the point of a tangent that touches the circle

circles that lie in the same plane and have the same center

secant

line that contains a chord

tangent

a line that touches the circle in one point, forms a 90 degre…

Radius

Diameter

Chord

circumference

Any straight line from the center of a circle to its circumfe…

the distance measured from one point on a circle to another g…

Any straight line linking two points on a circle`s circumfere…

The total length of the outside edge (perimeter) of a circle.

Radius

Any straight line from the center of a circle to its circumfe…

Diameter

the distance measured from one point on a circle to another g…

Two Tangent Theorem

Chord-Chord Angle

Secant-Tangent Angle OR Tangent-Tangen…

Area of a sector

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

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 h…

Two Tangent Theorem

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

Chord-Chord Angle

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

Circle

Secant

Tangent

Point of tangency

A locus of points equidistant from a fixed point

A line that intersects a circle at exactly 2 points

A line that intersects a circle at exactly 1 point

The point at which the tangent line intersects the circle

Circle

A locus of points equidistant from a fixed point

Secant

A line that intersects a circle at exactly 2 points

radius

diameter

circumference

area of circle

A straight line from the center to the circumference of a cir…

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

The distance around a circle

A=πr²

radius

A straight line from the center to the circumference of a cir…

diameter

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

Circle

Center

Radius

Diameter

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

the given point that all points are equidistant from

distance from the center to a point on the circle; segment wh…

distance across the circle, through the center (twice the rad…

Circle

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

Center

the given point that all points are equidistant from

congruent.

intercepted arcs

perpendicular bisector

equidistant

C-54 If 2 chords in a circle are congruent, then they determi…

C-55 If 2 chords in a circle are congruent, then their ______…

C-56 The perpendicular from the center of a circle to a chord…

C-57 Two congruent chords in a circle are ___________ from th…

congruent.

C-54 If 2 chords in a circle are congruent, then they determi…

intercepted arcs

C-55 If 2 chords in a circle are congruent, then their ______…

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 e…

Chord

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

Tangent

A line that intersects the circle at one point.

Central angle

Inscribed angle

Angle formed by a tangent and a chord

Interior Angle

An angle whose vertex is on the center of the circle`

An angle whose vertex is on the circle

Vertex on the circle

An angle whose vertex is inside the circle

Central angle

An angle whose vertex is on the center of the circle`

Inscribed angle

An angle whose vertex is on the circle

circle

center

radius

chord

set of all points in a plane that are a given distance from a…

the point in the middle of the circle - equal distance from t…

segment with one end point on the circle and one end point at…

segment that joins two points on the circle ... (segment with e…

circle

set of all points in a plane that are a given distance from a…

center

the point in the middle of the circle - equal distance from t…

Circle

Center of a circle

Radius

Chord

A line forming a closed loop, every point on which is a fixed…

A point inside the circle. All points on the circle are equid…

the distance from the center of a circle to the edge

a line that connects one point on a circle to another point o…

Circle

A line forming a closed loop, every point on which is a fixed…

Center of a circle

A point inside the circle. All points on the circle are equid…

right triangle

isocelese triangle

equilateral triangle

scalene triangle

one 90 degree angle

two equal sides, two base angles are equal

sides are all the same, All angles are 60 degrees

no equal sides

right triangle

one 90 degree angle

isocelese triangle

two equal sides, two base angles are equal

tangent

point of tangency

tangent-radius property

perpendicular to chord property #1

line that intersects a circle at only one point

point where the tangent intersects the circle

a tangent that is perpendicular to the radius at the point of…

where, from the centre of a circle to a chord bisects the cho…

tangent

line that intersects a circle at only one point

point of tangency

point where the tangent intersects the circle