# 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.

Circle

Exterior

Chord

Radius

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

The set of all points in a plane that are outside the circle

Line segment with both endpoints on a circle

Line segment with one endpoint on the circle and one endpoint…

Circle

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

Exterior

The set of all points in a plane that are outside the circle

Equal arcs

Equal chords

A perpendicular line from the centre of…

Equal chords are equidistant

subtend equal angles at the centre (converse)

subtend equal angles at the centre (converse)

bisects the chord

from the centre of the circle (converse)

Equal arcs

subtend equal angles at the centre (converse)

Equal chords

subtend equal angles at the centre (converse)

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.

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…

Circle

Radius

Chord

Diameter

a shape with all points the same distance from its center

The radius of a circle is the distance from the center of a ci…

A line segment with both endpoints on the circle.

The distance across the center of a circle

Circle

a shape with all points the same distance from its center

Radius

The radius of a circle is the distance from the center of a ci…

amplitude

asymptote

period

SOH CAH TOA

how much distance the line pivots off the center

a line that the graph gets closer and closer to but never touc…

length of interval on which the function repeats itself over a…

sin, opposite, hypotenuse... cosine, adjacent, hypotenuse... tangent…

amplitude

how much distance the line pivots off the center

asymptote

a line that the graph gets closer and closer to but never touc…

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

Radius

Diameter

Chord

circumference

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

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

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

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

Radius

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

Diameter

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

Tangent lane is perpendicular to radius

Two tangents to a circle with a common…

Vertex at center

vertex ON circle

a^2 + b^2 = c^2

Tangents are congruent

x=y

x=1/2y

Tangent lane is perpendicular to radius

a^2 + b^2 = c^2

Two tangents to a circle with a common…

Tangents are congruent

Chord and arc congruency proof

parallel lines

Radii

Tangent and radius

In a circle, congruent chords have congruent arcs

Parallel lines intercept congruent arcs

All radii of a circle are congruent

A tangent line is perpendicular to a radius at the point of ta…

Chord and arc congruency proof

In a circle, congruent chords have congruent arcs

parallel lines

Parallel lines intercept congruent arcs

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

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

Circle

Radius

Chord

Secant

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

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

a segment with both endpoints on the circle

a line that intersects the circle at two points

Circle

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

Radius

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

diameter of a circle

Chord

Circumference Formula

Radii

A chord that passes through the center of the circle and touch…

A line segment with both endpoints on the circle.

C=2πr or C=dπ

All radii of a circle are congruent.... There are infinitely many…

diameter of a circle

A chord that passes through the center of the circle and touch…

Chord

A line segment with both endpoints on the circle.

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

Circle

radius

All radii of the same circle...

chord

A circle is the set of all points in a plane K... that are equidi…

a segment that has one endpoint on the circle and one endpoint…

are congruent.

a segment that has both of its endpoints on the circle.

Circle

A circle is the set of all points in a plane K... that are equidi…

radius

a segment that has one endpoint on the circle and one endpoint…

Circle

Radius

Diameter

Chord

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

The distance from the center to a point on the circle

The distance across the circle that goes through the center

A segment whose endpoints are on the circle

Circle

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

Radius

The distance from the center to a point on the circle

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

circle

center of a circle

radius

chord

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

The given point from which all points on a circle are the same…

a segment that joins the center to a point on the circle

a segment joining 2 points on a circle

circle

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

center of a circle

The given point from which all points on a circle are the same…