Unit 6 - Circles

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40 Terms

1

Radius

a segment whose endpoints are the center and any point on the circle

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2

Chord

a segment whose endpoints are on a circle

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3

diameter

a chord that contains the center of the circle

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4

Secant

A line that intersects a circle in two points

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5

Tangent

A line in the plane of a circle that intersects the circle in exactly one point.

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6

point of tangency

the point where a circle and a tangent intersect

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7

Arc

a portion of the edge of the circle

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8

Minor Arc

an arc that measures less than 180 degrees

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9

Major Arc

an arc that measures greater than 180 degrees

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10

Semicircle

an arc with endpoints that are the endpoints of a diameter

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11

Central Angle

an angle whose vertex is the center of the circle

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12

inscribed angle

an angle whose vertex is on the circle and whose sides pass through the endpoints of the arc

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13

intercepted arc

The arc that lies in the interior of an inscribed angle and has endpoints on the angle.

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14

arc measure

The measure of the central angle that intercepts an arc, measured in degrees.

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15

tangent segment

a line segment that lies on a tangent line with one endpoint at the point of tangency

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16

Tangent circles

circles that are tangent to the same line at the same point

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17

inscribed polygon

A polygon in which all of the vertices lie on a circle

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18

circumscribed circle

the circle that contains the vertices of an inscribed polygon

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19

cyclic quadrilateral

A quadrilateral that can be inscribed in a circle

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20

A tangent to a circle is ____________ to the radius drawn from the point of tangency

perpendicular

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21

Tangent segments to a circle from a point outside the circle are

congruent

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22

Congruent chords form congruent ?

arcs

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23

If a diameter of a circle is perpendicular to a chord, then the diameter ___?_____ the chord and its arc.

bisects

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24

Two chords are congruent if they are _?__ from the center

equidistant

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25

The perpendicular bisector of a chord passes through the _?__ of the circle

center

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26

If two chords in a circle are congruent, then they determine two central angles that are ___?_____

congruent

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27

the measure of an angle inscribed in a circle is

one

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28

inscribed angles that intercept the same arc are

congruent

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29

Angles inscribed in a semicircle are

right angles

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30

The opposite angles of a cyclic quadrilateral are

supplementary

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31

parallel lines intercept _?_ arcs on a circle

congruent

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32

if two chords interest inside a circle, then the measure of each angle is

one

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33

If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is

one

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34

If two chords intersect in the interior of a circle

then the product of the lengths of the segments is equal to the product of the lengths of the segments of the other chords.

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35

If two secant segments share the same endpoint outside a circle

then the product of lengths of one secant segment and its external secant segment equals the product of the lengths of the other secant segment and its external segment

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36

Circumference

the perimeter of a circle, the distance around the circle

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37

Pi

The ratio of the circumference of a circle to its diameter

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38

Length of an arc

(central angle/360) x 2πr

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39

angular velocity

rate of change with respect to time (degrees per unit of time)

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40

tangential velocity

The speed of an object at a point as it moves around the circumference of a circle (measure of length per unit of time)

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