5.1 angles Flashcards

1
Q

what is a ray

A

one point on a line and all points extending in one direction from the point

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2
Q

what is an angle

A

union of 2 rays @ a common endpoint

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3
Q

what is a vertex

A

endpoint of an angle

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4
Q

what are the different greek letters used in math

A

theta, phi, alpha, beta, gamma

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5
Q

what is a fixed ray

A

initial side

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6
Q

what is a rotated ray

A

terminal side

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7
Q

what is the measure of an angle

A

amount of rotation from the initial side to the terminal side

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8
Q

what does 1 degree equal

A

1/360

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9
Q

what is standard position

A

when the initial side is on the x-axis and the terminal side is rotated

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10
Q

what are the quadratic angles

A

0,90, 180, 270, 360

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11
Q

if you go counterclockwise are the angles positive or negative

A

positive

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12
Q

if you go clockwise are the angles positive or negative

A

negative

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13
Q

what is an arc

A

portion of a full circle

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14
Q

what does the length of an arc equal

A

the circumference

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15
Q

what is 2pi radians equal to

A

360 degrees

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16
Q

what is pi radians equal to

A

180 degrees

17
Q

what does 1 radian equal to

18
Q

what is the radian measure

A

angle without a unit; ratio of the length of the arc by the angle to the radius of the circle or s/r = theta

19
Q

what is the formula for arc length

A

s = r theta

20
Q

that does theta equal in arc length

21
Q

what is a radian

A

measure of the central angle of a circle

22
Q

what is a full revolution

A

360 degrees or 2pi

23
Q

what is 1/2 revolution

A

180 degrees or pi

24
Q

what is pi/6 eqivalent to

A

30 degrees

25
what is pi/4 equivalent to
45 degrees
26
what is pi/3 =
60 degrees
27
what is pi/2=
90 degrees
28
what is 2pi/3
120 degrees
29
what is 3pi/4
135 degrees
30
what is 5pi/6
150 degrees
31
what is pi
180 degrees
32
what is is 7pi/6
210 degrees
33
what is 5pi/4
225 degrees
34
what is 4pi/3
240 degrees
35
what is 3pi/2
270 degrees
36
what is 5pi/3
300 degrees
37
what is 7pi/4
315 degrees
38
what is 11pi/6
330 degrees
39
what is 2 pi
360 degrees