ch 9 middle chucnk Flashcards

1
Q

Central Angle

A

An angle with its vertex at the center of the circle

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2
Q

The measure of a minor arc is-

A

-the measure of its central angle

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3
Q

The measure of a major arc is-

A

-found by subtracting the measure of the minor arc from 360 degrees

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4
Q

Semicircles

A

The two arcs of a circle that are cut off by a diameter

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5
Q

Adjacent arcs

A

Adjacent arcs of a circle are arcs that have exactly one point in common

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6
Q

Arc addition postulate

A

The measure of the arc formed by two adjacent arcs is the sum of the measures of these two arcs

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7
Q

In the same circle or in congruent circles, two minor arcs are congruent if and only if-

A

-their central angles are congruent

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8
Q

1 In the same circle or in congruent circles, (2)

A

1) Congruent arcs have congruent chords
2) Congruent chords have congruent arcs

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9
Q

A diameter that is perpendicular to the chord-

A

-bisects the chord and its arc

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10
Q

2 In the same circle or in congruent circles, (2)

A

1) Chords equally distant from the center (or centers) are congruent
2) Congruent chords are equally distant from the center (or centers)

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11
Q

Inscribed angle

A

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

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12
Q

The measure of an inscribed angle is equal to-

A

-half the measure of its intercepted arc

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13
Q

If two inscribed angles intercept the same arc,

A

then the angles are congruent

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14
Q

An angle that’s inscribed in a semicircle is-

A

-a right triangle

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15
Q

If a quadrilateral is inscribed in a circle,

A

then its opp. angles are supp.

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16
Q

The measures of an angle formed by a chord and a tangent is equal to-

A

-half the measure of the intercepted arc.