Chapter 9

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Circle

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Tags and Description

Geometry H

25 Terms

1

Circle

the set of points in a plane equidistant from a given point (notation: ⊙A, with A being the center)

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2

Center

The fixed point in the center of a ⊙ (notation: A)

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3

Radius

dist from center to a pt. on a circle (segment notation)

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4

Chord

a segment that joins 2 points on the ⊙

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5

Secant

A line that contains a chord

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6

Diameter

A chord that contains the center

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7

Tangent

A line that intersects a circle in exactly one point

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8

Point of Tangency

The intersection point of a tangent to a ⊙

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9

Sphere

A set of points in space equidistant from a fixed point

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10

Congruent spheres / ⊙

Have ≅ radii

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11

Cocentric spheres / ⊙

have the same center

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12

inscribed polygon

All vertices are on the ⊙

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13

Circumscribed circles

⊙ is around the polygon

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14

tangent → ⊥ radius

If a line is tangent to a circle, then it is ⊥ to the radius

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15

ice cream cone corr

Tangents to a circle from a point are ≅

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16

⊥ radius → tangent

If a line in the plane of a circle is perpendicular to the radius at its outer endpoint, then the line is tangent

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17

central angle

an angle whose vertex is on the center of a circle

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18

Arc

an unbroken piece of a circle (minor, major, and semi)

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19

Adjacent arcs

Arcs that have exactly one point in common

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20

Congruent arcs

arcs in the same circle or congruent circles that have equal measure

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21

arc addition postulate

basically SAP but with arcs

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22

2 minor arcs ≅ iff central <s ≅

in the same circle or congruent circles, two minor arcs are congruent if and only if their central angles are congruent.

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23

≅ arcs → ≅ chords, vice versa

in the same circle or congruent circles, congruent arcs have congruent chords, and congruent chords have congruent arcs

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24

diameter ⊥ chord → mdpt & bisects arc

A diameter that is perpendicular to a chord bisects the chord and its arc

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25

chords =dist center → ≅

≅ chords → =dist center

in the same circle or congruent circles, chords equally distant from the center(s) are congruent, and congruent chords are equally distant from the center(s)

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