Arcs and Angles

Question 1

Circle

Answer 1

A set of all points in a plane that are equal at distance from the center

Question 2

Radius

Answer 2

A segment whose endpoints are on the circle & any point on the cirlce(half the diameter)

Question 3

Diameter

Answer 3

Chord that contains the center of the circle

Question 4

Chord

Answer 4

Segment whose endpoints are on a circle

Question 5

Secant

Answer 5

A line that intersects the circle in 2 points

Question 6

Tangent

Answer 6

A line on the outside(edge) of cirlce that intersects at 1 point

Question 7

Point of Tangency

Answer 7

The point the tangent line creates

Question 8

Tangent Circles

Answer 8

Coplanar circles that intersect in one point

Question 9

Conectric Circles

Answer 9

Coplanar Circles that have a common center

Question 10

Circular Arc

Answer 10

Part of a circle

Question 11

Minor Arc

Answer 11

Less than 180 degrees

Question 12

Major

Answer 12

More than 180 degrees

Question 13

Semi-Circle

Answer 13

Half of the cirlce (equal to 180 degrees)

Question 14

Acr Addition Posulate

Answer 14

The measure of an arc formed y two adjancent ars is the sum of the measures of the two arcs (mABC=mAB+mBC)

Question 15

Congruent Corresponding Chords Theorem

Answer 15

Inthe same circle, or in congruentcircles, twominor arcs are congruents if and only if their corresponding chords are congruent

Question 16

Perpindeicular Chord Bisector Theorem

Answer 16

If a diameter of a circleisperpindicular to a chord, then the diameter bisects the chord & arc

Question 17

Perpendicular Chord Bisector Converse

Answer 17

If one of a circle isa perpendicualr bisector of another chord, thenthe first chord is a diameter

Question 18

Equidsant Chords Theorem

Answer 18

In the same circle, or in congruent circles, two chords are congruent if & only if they are equidsant from center

Question 19

Inscribed Angle

Answer 19

An angle whose vertex is on a circle & whose sides contain chords of the circle

Question 20

Intercepted Arc

Answer 20

Anarc that lies between two lines, rays, or segements

Question 21

Subtend

Answer 21

Endpoints of a chord or arc lie on the sides of an inscribed angle, then the chord or arc

Question 22

Inscribed Polygon

Answer 22

All pf the polygons vertices lie on a circle

Question 23

Circumscribed Polygon

Answer 23

Circle that contains the vertices

Question 24

Tangent & Intersected Chord Theorem

Answer 24

If a tangent & chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc
(m<1= 1/2mAB)

Question 25

Angles inside the Circles Theorem

Answer 25

If two chords intersect inside a circle, then the measure of each abgle is one-half the sum of the measure of the arc intercepted by the angle & its vertical angle m<1=1/2(mDC+mAB)

Question 26

Angles Outside the Circle Theorem

Answer 26

If a tangent and a secant, two tangents, or two secants intersect outside a circle, the the measure of the angle formed is one-half the difference of measures of the intercepted arcs m<1= 1/2(mBC-mAB)

Question 27

Segment of the Chord

Answer 27

When 2 chords intersect in the interiorof a circle each chord is divded into2 segments

Question 28

Segments of Chord Theorem

Answer 28

If 2 chords intersect in the interior of a circle,then the product of the lengths of the segments of one chord is equal to the product ofthe lengthd of the segments of the other chord (EA*EB=EC*ED)

Question 29

Tangent Segment

Answer 29

A segment that is tangent to a circle at an endpoint

Question 30

Secant Segment

Answer 30

A segment the containsof a circle& has exactly one endpoint outside the circle

Question 31

External Segment

Answer 31

The part of a secant segment that is outside the circle

Question 32

Segments of Theorem

Answer 32

If two secant segments share the same endpoint outside a circle, then the product of the lengths of one secant segment & its external segments equals the product of the lenghs of the other secant segment & its external segment (EA*EB=EC*ED)

Question 33

Standard Equation of a Circle

Answer 33

(x-h)^2 + (y-k)^2 = r^2