Geometry Ch. 12 Flashcards

1
Q

concentric circles-

A

concentric circles share the same center point in the same plane

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2
Q

radius

A

the radius is the line segment that connects the center point to any point on the circle **All radii of a circle are equal

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3
Q

chord

A

a chord is a line segment that connects two points on a circle

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4
Q

diameter

A

a diameter is a chord that contains the center point

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5
Q

tangent

A

a tangent is a line that intersects a circle at exactly one point

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6
Q

semicircle

A

a semicircle is half of a circle

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7
Q

minor arc

A

a minor arc is a part of a circle that is less than 180°

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8
Q

major arc

A

a major arc is a part of a circle that is more than 180°

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9
Q

central angle

A

a central angle is an angle whose vertex is the center of the circle

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10
Q

reflex angle

A

a reflex angle is an angle whose measure is more than 180°

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11
Q

degree measure of an arc

A

the degree measure of an arc is equal to the measure of its central angle

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12
Q

inscribed angle

A

an inscribed angle is an angle whose vertex is on the circle and whose two sides intersect the circle at two other points

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13
Q

secant angle

A

a secant angle is an angle whose two sides intersect the circle at at least two different points and whose vertex is not on the circle

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14
Q

Chord and Diameter Theorem 56:

A

Chord and Diameter Theorem 56: Iff a line through the center of the circle is perpendicular to a chord, then it also bisects the chord.

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15
Q

Tangent and Radius Theorem 59:

A

Tangent and Radius Theorem 59: iff a line is tangent to a circle, it is perpendicular to the radius drawn to the point of contact

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16
Q

Equal Chords Theorem 61:

A

Equal Chords Theorem 61: Equal Chords have equal arcs

17
Q

Inscribed Angles Theorem 63:

A

Inscribed Angles Theorem 63: An inscribed angle is equal to half its intercepted arc

18
Q

Inscribed Angles of a Semi-Circle Corollary:

A

Inscribed Angles of a Semi-Circle Corollary: The inscribed angle of a semi-circle is 90°

19
Q

Secant with Inside Vertex Theorem 64:

A

A secant angle whose vertex is inside the circle is equal to half the sum of its intercepted arcs

20
Q

Secant with Exterior Vertex Theorem 65:

A

A secant angle whose vertex is outside the circle is equal to half the difference of its two intercepted arcs

21
Q

Two Tangents from an External Point Theorem 66:

A

Two Tangents from an External Point Theorem 66: The tangent segments to a circle from an external point are equal

22
Q

Two Intersecting Chords Theorem 67:

A

If two chords intersect in a circle, the product of the length of their intersected segment parts is equal.

23
Q

slope-intercept form of a line

A

y = mx + b (m is the slope, b is the y-intercept)

24
Q

point-slope form of a line

A

(y-y₁) = m(x-x₁)