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Radius

Congruent Circles

Concentric Circles

Semicircle

Line segment that connects the center to a point on the circle

Circles what have the same radius

Circles that have the same center

An arc that measures 180 degrees

Radius

Line segment that connects the center to a point on the circle

Congruent Circles

Circles what have the same radius

Def. circle

Radius

Chord

Diameter

The set of all points equidistant from a center

A segment from center to a point on a circle

A segment with both endpoints on the circle

A chord that intersects the center of the circle

Def. circle

The set of all points equidistant from a center

Radius

A segment from center to a point on a circle

Congruent circles

Concentric Circles

Radius

Chord

two circles with the same radius

circles with the same center

the length of a line segment between the center and circumfer…

a straight line connecting two points on a curve

Congruent circles

two circles with the same radius

Concentric Circles

circles with the same center

The set of points in a plane equidista…

The distance from the center to a poin…

Congruent circles

An arc that measures less than 180 deg…

Circle

radius

two circles with the same diameter

minor arc

The set of points in a plane equidista…

Circle

The distance from the center to a poin…

radius

chord

diameter

radius

secant

A segment whose endpoints lie on a circle

A chord that passes through the center of the circle

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

A line that intersects a circle in two points

chord

A segment whose endpoints lie on a circle

diameter

A chord that passes through the center of the circle

Circumference

Cyclic quadrilateral

Externally tangent (circles)

Inscribed (in a circle, semicircle, or…

The distance around a circle, given by the formula C=2πr, whe…

A quadrilateral that can be inscribed in a circle

Intersecting at exactly the one point, with neither circle in…

Having each vertex on the circle, semicircle, or sphere. Usua…

Circumference

The distance around a circle, given by the formula C=2πr, whe…

Cyclic quadrilateral

A quadrilateral that can be inscribed in a circle

Chord

Diameter

Tangent

Point of tangency

Line SEGMENT whose endpoints lie on circle

A chord that passes through the center of a circle (longest c…

A line that intersects the circle at only one point

the point where the tangent intersects with circle

Chord

Line SEGMENT whose endpoints lie on circle

Diameter

A chord that passes through the center of a circle (longest c…

circle

center

radius

chord

Set of all points in a plane that are equidistant from a give…

a point in the middle of the circle making everything equidis…

A segments whose endpoints are the center and anywhere else o…

A segment whose endpoints are on a circle.

circle

Set of all points in a plane that are equidistant from a give…

center

a point in the middle of the circle making everything equidis…

circle

chord

diameter

radius

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

a segment whose endpoints are on the circle.

a chord that passes through a center and the other endpoints…

a segment where one endpoint is at the center and the other e…

circle

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

chord

a segment whose endpoints are on the circle.

Circle

Tangent Circles

Radius

Chord

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

Coplanar circles that intersect in one point.

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

A segment whose endpoints are on a circle.

Circle

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

Tangent Circles

Coplanar circles that intersect in one point.

Tangent Segments

Intercepted Arc

Tangent Circles

Tangent Conjecture

A line segment that lies on a tangent line with 1 endpoint @…

An arc that lies in the interior of an angle w/ endpoints on…

Circles that are tangent to the same line @ the same point.

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

Tangent Segments

A line segment that lies on a tangent line with 1 endpoint @…

Intercepted Arc

An arc that lies in the interior of an angle w/ endpoints on…

Radius

Chord

Diameter

Central angle

segment that has one endpoint at center, and on on circle

segment with endpoints on circle

special chord that goes thru center (double radius)

∠ whose vertex is center of circle, sum of the measures of ce…

Radius

segment that has one endpoint at center, and on on circle

Chord

segment with endpoints on circle

Similar Triangles

Congruent Triangles

Equilateral Triangles

Proportional

Triangles with equal angles. ... Triangles that have the same s…

Triangles that are equal in every way. The three sides and th…

A triangle in which all three sides are equal.

When two quantities always have the same size in relation to…

Similar Triangles

Triangles with equal angles. ... Triangles that have the same s…

Congruent Triangles

Triangles that are equal in every way. The three sides and th…

chord

secant

a circle is named by its___________

tangent

a segment whose end pts are on the circle

a line that contains a chord

center

a line intersects one point on a circle. ... that point is calle…

chord

a segment whose end pts are on the circle

secant

a line that contains a chord

chord

diameter

radius

secant

A segment whose endpoints lie on a circle

A chord that passes through the center of the circle

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

A line that intersects a circle in two points

chord

A segment whose endpoints lie on a circle

diameter

A chord that passes through the center of the circle

Chord

Diameter

Arc

Central Angle

a segment whose endpoints are on the circle

a chord that contains the center of the circle

two points on a circle and all of the points on the circle ne…

an angle whose vertex is the center of the circle

Chord

a segment whose endpoints are on the circle

Diameter

a chord that contains the center of the circle

Circle

Radius

Chord

Diameter

The set of all points in a place that are equidistant from a…

A line segment from the center of circle to a point on the ci…

Segment whose endpoints are on a circle

Chord that contains the center of the circle and whose endpoi…

Circle

The set of all points in a place that are equidistant from a…

Radius

A line segment from the center of circle to a point on the ci…

circle

radius

chord

diameter

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

a segment whose endpoints are the center of a circle and any…

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 equidistant from a…

radius

a segment whose endpoints are the center of a circle and any…

Chord

Diameter

Arc

Central Angle

a segment whose endpoints are on the circle

a chord that contains the center of the circle

two points on a circle and all of the points on the circle ne…

an angle whose vertex is the center of the circle

Chord

a segment whose endpoints are on the circle

Diameter

a chord that contains the center of the circle

radius

chord

diameter

tangent

any line segment that connects the center with a point on the…

a line segment that connects two points on the circle

a chord that passes through the center of the circle... the lon…

a line the intersects a circle in exaclty one point

radius

any line segment that connects the center with a point on the…

chord

a line segment that connects two points on the circle

radius

Diameter

center

chord

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

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

Center = is equal distance from all edges of a circle

a straight line connecting two points on a circle... can neve…

radius

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

Diameter

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

center of the circle

circle

circumference

radius (radii)

The point at the exact center of a circle. All points on a ci…

A geometric figure consisting of all the points on a plane th…

The distance around a circle.

A line segment that has one endpoint at the center of a circl…

center of the circle

The point at the exact center of a circle. All points on a ci…

circle

A geometric figure consisting of all the points on a plane th…

circle

chord

diameter

radius

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

a segment whose endpoints are on the circle.

a chord that passes through a center and the other endpoints…

a segment where one endpoint is at the center and the other e…

circle

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

chord

a segment whose endpoints are on the circle.

circle

point

congruent

chord

A ____ is the set of all points in a plane that are at a give…

A radius is a line segment that joins the center of the circl…

All radii of the same circle are ____ .

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

circle

A ____ is the set of all points in a plane that are at a give…

point

A radius is a line segment that joins the center of the circl…

The set of all points in a plane that…

Coplanar circles that intersect in one…

A segment whose endpoints are the cent…

A segment whose endpoints are on a cir…

Circle

Tangent Circles

Radius

Chord

The set of all points in a plane that…

Circle

Coplanar circles that intersect in one…

Tangent Circles

Circle

Center

Radius

Congruent Circles

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

The point of which the points of a circle are based upon

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

Two circles that have the same radius

Circle

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

Center

The point of which the points of a circle are based upon

Circle

Radius

Chord

Diameter

The locus or set of all points in a plane equidistant from a…

A segment with endpoints at the center and on the circle.

A segment with endpoints on the circle.

A chord that passes through the center of a circle. It consis…

Circle

The locus or set of all points in a plane equidistant from a…

Radius

A segment with endpoints at the center and on the circle.

base angles of a trapezoid

consecutive angles

isosceles trapezoid

kite

each pair of adjacent angles to a base

share a common side

whose nonparallel opposite sides are congruent.

is a quadrilateral with two pairs of congruent adjacent sides…

base angles of a trapezoid

each pair of adjacent angles to a base

consecutive angles

share a common side

Circle

Tangent Circles

Radius

Chord

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

Coplanar circles that intersect in one point.

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

A segment whose endpoints are on a circle.

Circle

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

Tangent Circles

Coplanar circles that intersect in one point.

Chord

Diameter

Arc

Central Angle

a segment whose endpoints are on the circle

a chord that contains the center of the circle

two points on a circle and all of the points on the circle ne…

an angle whose vertex is the center of the circle

Chord

a segment whose endpoints are on the circle

Diameter

a chord that contains the center of the circle

Circle

Radius

Chord

Diameter

The set of all points in a plane at a given distance from a g…

The given distance is the radius of the circle. A radius is a…

A segment whose endpoints lie on a circle

A chord that contains the center of a circle... - a length equal…

Circle

The set of all points in a plane at a given distance from a g…

Radius

The given distance is the radius of the circle. A radius is a…

Circle (definition)

Radius (definition)

Diameter (definition)

Radius (picture)

All points are the same distance from the center

The distance from the center to the edge of a circle

Starts at one side of the circle, goes through the center and…

Circle (definition)

All points are the same distance from the center

Radius (definition)

The distance from the center to the edge of a circle

chord

diameter

radius

secant

A segment whose endpoints lie on a circle

A chord that passes through the center of the circle

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

A line that intersects a circle in two points

chord

A segment whose endpoints lie on a circle

diameter

A chord that passes through the center of the circle

Circle

Center of a circle

Radius

Secant

set of points on a plane at a given distance from a given poi…

*Point inside a circle that is the same distance from every p…

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

is a line that contains a chord

Circle

set of points on a plane at a given distance from a given poi…

Center of a circle

*Point inside a circle that is the same distance from every p…

circle

center

radius

chord

a set of points in a plane at a given distance from a given p…

the given point (in the middle)

- distance from the center to the circle... - any segment that j…

a segment whose endpoints lie on a circle

circle

a set of points in a plane at a given distance from a given p…

center

the given point (in the middle)

Secant

Tangent

Tangent Circles

Concentric Circles

A line that intersects a circle in two points

A line that intersects a circle at one point

Coplane circles that intersect at one point

Coplanar circles that have the same center

Secant

A line that intersects a circle in two points

Tangent

A line that intersects a circle at one point

12.1 interior of a circle

12.1 exterior of a circle

12.1 chord

12.1 secant

the set of all points inside the circle

the set of all points outside the circle

a segment whose endpoints lie on a circle

a line that intersects a circle at two points

12.1 interior of a circle

the set of all points inside the circle

12.1 exterior of a circle

the set of all points outside the circle

Regular Polygon

Parallelogram

Rectangle

Rhombus

a polygon with all sides and all angles equal

a quadrilateral with both pairs of opposite sides parallel

A parallelogram with four right angles

A parallelogram with four equal sides

Regular Polygon

a polygon with all sides and all angles equal

Parallelogram

a quadrilateral with both pairs of opposite sides parallel

chord

diameter

radius

secant

A segment whose endpoints lie on a circle

A chord that passes through the center of the circle

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

A line that intersects a circle in two points

chord

A segment whose endpoints lie on a circle

diameter

A chord that passes through the center of the circle

Circle

center

radius

Diameter

A round plane figure whose boundary consists of points equidi…

The point at the middle of the circle

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

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

Circle

A round plane figure whose boundary consists of points equidi…

center

The point at the middle of the circle

polygon

sides of a polygon

vertex of a polygon

diagonal of a polygon

A closed plane figure formed by three or more line segments

Each line segment that forms a polygon

the point where two sides of a polygon meet

A segment that joins two nonconsecutive vertices of a polygon

polygon

A closed plane figure formed by three or more line segments

sides of a polygon

Each line segment that forms a polygon

properties of inequalities

exterior angle inequality theorem

given if p then q; converse

given if p then q; converse

a>b, b>c, then a >c... a > b, c>0, then a+c > b+c... a> b, c> 0, th…

the exterior angle of a triangle is greater than either remot…

q then p

inverse not p then not q

properties of inequalities

a>b, b>c, then a >c... a > b, c>0, then a+c > b+c... a> b, c> 0, th…

exterior angle inequality theorem

the exterior angle of a triangle is greater than either remot…