Study sets matching "geometry circle"

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Study sets matching "geometry circle"

Geometry - Circles
Circle
Radius
Chord
Diameter
Set of points in a plane that are a given distance away from…
Distance from the center of a circle to the edge.
A line segment that has endpoints on a circle.
A chord that contains the center of a circle.
Circle
Set of points in a plane that are a given distance away from…
Radius
Distance from the center of a circle to the edge.
12 terms
Circle Formulas in Geometry
Find the measure of Central Angle
Find the measure of an Inscribed Angle.
Find the measure of an Angle INSIDE th…
Find the measure of an Angle OUTSIDE t…
It is equal to its Intercepted arc.
It is equal to 1/2 of its Intercepted arc.
It is equal to 1/2 of the sum of the arcs.
It is equal to 1/2 DIFFERENCE of the arcs
Find the measure of Central Angle
It is equal to its Intercepted arc.
Find the measure of an Inscribed Angle.
It is equal to 1/2 of its Intercepted arc.
15 terms
Analytic Geometry Circle Vocabulary
Diameter
Radius
Tangent Line
Secant
Diameter
Radius
Circle Geometry parts of a circle
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…
7 terms
Geometry circle
Congruent chords produce congruent
Central angles of a circle are equal to
Angles inscribe in a circle are equal to
Angles in the interior of circle are e…
Arcs
Intercepted arcs
Half intercepted arc
Half the sum of arcs
Congruent chords produce congruent
Arcs
Central angles of a circle are equal to
Intercepted arcs
14 terms
geometry circles
arc length formula
ab=cd
two tangents
tangent chord angle
intersecting chord rule
m<abc=1/2(mAC-mAC)
m<ABC=1/2mAB
arc length formula
ab=cd
intersecting chord rule
Geometry: Circles
Central Angle
Inscribed Angle
Cyclic Quadrilateral
Tangent Chord Angle
Central Angle = Intercepted Arc
Inscribed Angle = 1/2 Intercepted Arc
Opposite angles in a cyclic quadrilateral are supplementary.
Tangent Chord Angle = 1/2 Intercepted Arc
Central Angle
Central Angle = Intercepted Arc
Inscribed Angle
Inscribed Angle = 1/2 Intercepted Arc
Geometry circles
Circle
Center
Radius
Chord
Set of all points in a plain that are equidistant from a give…
is equal distance from all edges of a circle
A straight line from the center to the circumference of a cir…
a segment whose endpoints are on a circle
Circle
Set of all points in a plain that are equidistant from a give…
Center
is equal distance from all edges of a circle
28 terms
Geometry: Circles
Circle
Radius
Chord
Diameter
The set of all points that are equidistant from a point calle…
A segment whose endpoints are the center and any point on the…
A segment whose endpoints are on a circle.
A chord that contains the center of the circle.
Circle
The set of all points that are equidistant from a point calle…
Radius
A segment whose endpoints are the center and any point on the…
Circle Geometry parts of a circle
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…
Geometry Circles
center
radius
diameter
tangent
center point of circle
half diameter
reaches all the way across the circle
meets circle at one point
center
center point of circle
radius
half diameter
Geometry- circles
Tangent
Secant
Chord
Rotation
A line in the plane of a circle that intersects the Circle in…
A line that intersects a circle in two points.
A segment whose end points are points on a circle.
A transformation in which a figure is turned about a fixed po…
Tangent
A line in the plane of a circle that intersects the Circle in…
Secant
A line that intersects a circle in two points.
16 terms
Geometry: Circles
Interior/Exterior of a Circle
Chord
Secant
Concentric Circles
The interior of a circle is the set of all points inside the…
A chord is a segment whose endpoints lie on a circle
A secant is a line that intersects a circle at two points
Concentric Circles are coplanar circles with the same center
Interior/Exterior of a Circle
The interior of a circle is the set of all points inside the…
Chord
A chord is a segment whose endpoints lie on a circle
Circle Geometry Theorems
If 2 tangent segments are drawn to a c…
The measure of an angle formed by 2 in…
The measure of an angle whose vertex i…
The measure of an angle formed by a ta…
then those segments are congruent.
is equal to half the sum of the measures of the intercepted a…
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 c…
then those segments are congruent.
The measure of an angle formed by 2 in…
is equal to half the sum of the measures of the intercepted a…
19 terms
Geometry-Circles
center
Name & symbol
radius
diameter
middle point in a circle
A point, A is center
A line segment with one endpoint at the center of a circle an…
The distance across a circle through its center
center
middle point in a circle
Name & symbol
A point, A is center
7 terms
Geometry- Circles
secant-secant
chord-chord
tangent-secant
vertex @ center => angle =
(secant seg) x (external part) = (secant seg) x (external part)
product of parts of one chord = product of parts of other chord
(tangent seg) x (tangent seg) = (secant seg) x (external part)
arc
secant-secant
(secant seg) x (external part) = (secant seg) x (external part)
chord-chord
product of parts of one chord = product of parts of other chord
Geometry of the Circle
Angle Formed by a tangent and a chord
Angle formed by two intersecting chords
Angle formed by tangents and secants
Type of the segment formed by two inte…
The measure of an angle formed by a tangent and a chord that…
The measure of an angle formed by two intersecting chords is…
The measure if an angle formed by a tangent and a secant, two…
If two chords intersects, the product of the measures of the…
Angle Formed by a tangent and a chord
The measure of an angle formed by a tangent and a chord that…
Angle formed by two intersecting chords
The measure of an angle formed by two intersecting chords is…
18 terms
Geometry Unit 10 Circle Formulas
Area of a Circle
Circumference
Diameter
Measure of a Central Angle
A = πr²
C = πd
d = 2r
Central ∠ = arc measure
Area of a Circle
A = πr²
Circumference
C = πd
Geometry Circle Vocabulary
chord
central angle
minor arc
sector
straight segments joining 2 points on any circle
angle whose vertex lays on the center, legs are radii, with a…
in between points A and B of the central angle shorter or equ…
portion enclosed by two radii and an arc (central angle)
chord
straight segments joining 2 points on any circle
central angle
angle whose vertex lays on the center, legs are radii, with a…
Geometry- Circles
Equation of a Circle
Equation of a Circle
- Center of a circle
Radius
(x-h)²+(y-k)²=r², (h, k) is the center, r is the radius.
(x-h)²+(y-k)²=r². ... *h and k are opposite signs, when identify…
(h , k)
The distance from the center of a circle to any point on the…
Equation of a Circle
(x-h)²+(y-k)²=r², (h, k) is the center, r is the radius.
Equation of a Circle
(x-h)²+(y-k)²=r². ... *h and k are opposite signs, when identify…
18 terms
Geometry Circle Definitions
Intercepted Arc
Radius
Chord
Inscribed Angle
The arc formed using the endpoints of a chord
A segment from the center of the circle to any point on the c…
A segment whose endpoints lie on a circle
An angle whose vertex lies on a circle and whose sides contai…
Intercepted Arc
The arc formed using the endpoints of a chord
Radius
A segment from the center of the circle to any point on the c…
12 terms
Circle Formulas in Geometry
Find the measure of Central Angle
Find the measure of an Inscribed Angle.
Find the measure of an Angle INSIDE th…
Find the measure of an Angle OUTSIDE t…
It is equal to its Intercepted arc.
It is equal to 1/2 of its Intercepted arc.
It is equal to 1/2 of the sum of the arcs.
It is equal to 1/2 DIFFERENCE of the arcs
Find the measure of Central Angle
It is equal to its Intercepted arc.
Find the measure of an Inscribed Angle.
It is equal to 1/2 of its Intercepted arc.
geometry: the circle
central angle
inscribed angle
angle
m<1
eguals the arc
1/2 arc
1/2 arc
1/2(x+y)
central angle
eguals the arc
inscribed angle
1/2 arc
24 terms
Geometry circle vocab
Circle
Arc
Minor Arc
Major Arc
the set of all points on a plane at a set distance from a giv…
two points on a circle and the continuous (unbroken) part of…
An arc whose length is less than half of the circle. Named wi…
An arc of a circle whose length is more than half of the circ…
Circle
the set of all points on a plane at a set distance from a giv…
Arc
two points on a circle and the continuous (unbroken) part of…
Circles Geometry
Arc Length
Sector Area
Right-angle corollary
Arc-intercept corollary
measure of arc/360 x 2πr
measure of arc/360 x πr²
if an inscribed angle intercepts a semicircle, then the angle…
if two inscribed angles intercept the same arc, then they hav…
Arc Length
measure of arc/360 x 2πr
Sector Area
measure of arc/360 x πr²
Geometry - Circles
Area of a Circle
Circumference of a Circle
Diameter
Radius
A line that goes from one side of a circle, through the cente…
A line that goes from one side of a circle to the center.
Area of a Circle
Circumference of a Circle
10 terms
Geometry/Circles
chord
circumference
diameter
radius
a line segment passing through a circle that has its endpoint…
the distance around a circle
a chord passing through the center of a circle
a line segment with one endpoint at the center of a circle an…
chord
a line segment passing through a circle that has its endpoint…
circumference
the distance around a circle
6 terms
Geometry circle terms
secant
tangent
radius
chord
goes through the whole circle
only intersects with one point of the circle
a line segment from the center to the end of circle
a line segment that goes from one edge of the circle to the o…
secant
goes through the whole circle
tangent
only intersects with one point of the circle
13 terms
Geometry Circle Vocab
Circle
Radius
Chord
Diameter
The set of all points equidistant from a given point called t…
A segment that with one endpoint on the circle, and the other…
A segment whose endpoints lie on a circle
A chord that passes through the center of the circle.
Circle
The set of all points equidistant from a given point called t…
Radius
A segment that with one endpoint on the circle, and the other…
5 terms
Circle geometry
Angles in the same segment are equal
Angles in a semi-circle are 90 degrees
opposite angles in a cyclic quad add u…
Tangents from a point outside the circ…
Angles in the same segment are equal
Angles in a semi-circle are 90 degrees
14 terms
Geometry Circle Definitions...
Radius
Diameter
Chord
Arc
A straight line from the center to the perimeter of a circle…
The distance across a circle through its center
A segment whose endpoints are on the circle
Part of the circumference of a circle
Radius
A straight line from the center to the perimeter of a circle…
Diameter
The distance across a circle through its center
9 terms
Circle Geometry
A tangent and a radius always meet at…
Two radii form an isosceles triangle
The perpendicular bisector of a chord…
The angle at the centre of a circle is…
A tangent and a radius always meet at…
Two radii form an isosceles triangle
15 terms
Circle Geometry
If OP is perpendicular to AB then AP =…
If AB = CD then x = y (equal chords eq…
AOB = 2 x ACB (angle at centre is twic…
ACB = ADB (angles in same segment)
If OP is perpendicular to AB then AP =…
If AB = CD then x = y (equal chords eq…
13 terms
Geometry circle part definitions
circle
arc
congruent circles
concentric circles
set of all points in a plane at a given distance (radius) fro…
two points and the continuous part of the circle between the…
two or more circles with the same radius
two or more circles with the same center
circle
set of all points in a plane at a given distance (radius) fro…
arc
two points and the continuous part of the circle between the…
10 terms
geometry - circles
chord
tangent line
central angle
concentric circles
chord
tangent line
32 terms
Geometry: Circles
Circle
Radius
Chord
Diameter
The set of all points that are equidistant from a point calle…
A segment whose endpoints are the center and any point on the…
A segment whose endpoints are on a circle.
A chord that contains the center of the circle.
Circle
The set of all points that are equidistant from a point calle…
Radius
A segment whose endpoints are the center and any point on the…
23 terms
Geometry: circle vocab
Circle
Center
Radius
Congruent Circles
Set of coplanar points that are equidistant from a center poi…
The exact middle and all points are equidistant from a point.
A segment that has endpoints on the center of a circle and an…
Circles that have different centers but congruent radii.
Circle
Set of coplanar points that are equidistant from a center poi…
Center
The exact middle and all points are equidistant from a point.
Circle Geometry Vocab
Central Angle
Inscribed Angles
Interior Angles
Measure of Interior Angles
Angle with its vertex as center of circle
Angle with vertex on the circle
Angle formed in a circle by intersecting chords
1/2 the sum of intercepted arcs
Central Angle
Angle with its vertex as center of circle
Inscribed Angles
Angle with vertex on the circle
15 terms
Circle Vocabulary (Geometry)
circle
center
radius
chord
the set of all points in a plane, equidistant from a given po…
the given point, what the circle is named by
the distance from the center to any point on the circle
a segment whose endpoints are on the circle
circle
the set of all points in a plane, equidistant from a given po…
center
the given point, what the circle is named by
Geometry - circles
Radius
Diameter
Circumference
pi
distance from the center to any point on the circle
distance across the circle through the center
distance around a circle
ratio between the circumference and diameter of a circle (3.1…
Radius
distance from the center to any point on the circle
Diameter
distance across the circle through the center
Circle Vocabulary (Geometry)
Circle
Center
Radius
Diameter
The locus of all points in a plane equidistant from a given p…
The central point where radii form a locus of points called a…
Any segment with endpoints that are the center of the circle…
A chord that passes through the center of the circle
Circle
The locus of all points in a plane equidistant from a given p…
Center
The central point where radii form a locus of points called a…
12 terms
Geometry Circles
Radius
Chord
Diameter
Arc
A sement that passes through the center of the circle to the…
A line segment that does not pass through the center of the c…
A chord that passes through the center of the circle.
The space between the two points of the circle
Radius
A sement that passes through the center of the circle to the…
Chord
A line segment that does not pass through the center of the c…
5 terms
Circle geometry
Angles in the same segment are equal
Angles in a semi-circle are 90 degrees
opposite angles in a cyclic quad add u…
Tangents from a point outside the circ…
Angles in the same segment are equal
Angles in a semi-circle are 90 degrees
Circles (Geometry)
Circle
Radius
Chord
Diameter
set of all points in a plane that are equidistant from a give…
a segment in a circle whose endpoints consist of the center a…
a segment whose endpoints are on the circle.
a chord that contains the center of the circle
Circle
set of all points in a plane that are equidistant from a give…
Radius
a segment in a circle whose endpoints consist of the center a…
6 terms
Geometry circles
Circle
Radios
Diameter
Chord
Set of points in a plane that are the same distance from the…
Segment that connects the center of circle
Seg. that passes through the center has both end points on a…
Both end points on the circle
Circle
Set of points in a plane that are the same distance from the…
Radios
Segment that connects the center of circle
11 terms
Geometry Circles
Circle
Radius
Chord
Secant
The set of all points in a plane that are equidistant... from a…
A segment whose endpoints are the center of a circle and... a po…
A segment whose endpoints are 2 points... on a circle.
A line that intersects a circle in two points
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... a po…
18 terms
Geometry Circles
definition of a circle
sphere
secant
tangent
set of points in a plane that are equidistant from the center…
set of all points that are equidistant from a given point/its…
line which intersects the circle at 2 distinct points
line which intersects a circle at exactly one point
definition of a circle
set of points in a plane that are equidistant from the center…
sphere
set of all points that are equidistant from a given point/its…
geometry circles
the distance around a circle
every point on a circle is the same di…
the distance across a circle through i…
the distance from a circle to its center
circumference
center
diameter
radius
the distance around a circle
circumference
every point on a circle is the same di…
center
5 terms
Geometry Circles
point slope
central angle
minor arc
slope
y-y1=m(x-x1)
an angle whose vertex is the center of the circle
An arc of a circle whose measure is less than 180 degrees.
Rise over run
point slope
y-y1=m(x-x1)
central angle
an angle whose vertex is the center of the circle
Circle Geometry
Radius
Diameter
Tangent
Chord
A line drawn from the centre of the circle to a point on the…
A line joining two points on the circumference of the circle…
A line drawn from a point outside the circle which touches th…
A line joining two points on the circumference of the circle…
Radius
A line drawn from the centre of the circle to a point on the…
Diameter
A line joining two points on the circumference of the circle…
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