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Precalc > Chapter 1 > Flashcards

Chapter 1 Flashcards

1
Q

Natural number

A

counting number

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2
Q

whole number

A

natural number + 0

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3
Q

integers

A

whole numbers + negative number

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4
Q

rational number

A

p/q, where p and q are integers

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5
Q

irrational numbers

A

numbers that cannot be expressed as p/q

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6
Q

real numbers

A

all irrational and rational numbers

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7
Q

half-open (or half-closed) intervals

A

only include 1 endpoint

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8
Q

closed intervals

A

include both endpoints

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9
Q

open intervals

A

do not include either endpoints

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10
Q

bounded intervals

A

finite intervals

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11
Q

unbounded intervals

A

intervals that are not bound

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12
Q

Interval notation

A

a way to describe intervals

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13
Q

interval notation for unbound intervals

A
  • (infinity sign) or (infinity sign)
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14
Q

interval notation for closed intervals

A

[

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15
Q

interval notation for open intervals

A

(

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16
Q

Fancy e

A

element of

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17
Q

Properties of _ numbers

A

real

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18
Q

closure property

A

when you add or multiply two real numbers, you get a real number

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19
Q

exponentiation is shown by

A

an exponent

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20
Q

number that is raised by an exponent in exponentiation

A

base

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21
Q

positive integer exponent

A

x^2 = x *x

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22
Q

zero exponent on any real number =

A

1

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23
Q

Unit fraction exponent

A

x^1/2 = square root of x

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24
Q

negative number exponent

A

1/x^-n = x^n

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25
Q

rational number

A

x^p/q (rational number) = q root of x^p

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26
Q

-3^2 =

A
  • (3*3)
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27
Q

(-3)^2 =

A

-3 * -3

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28
Q

x^3*x^3 =

A

x^6

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29
Q

a^5/a^2 =

A

a^3

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30
Q

A rotation that is counterclockwise has a degree of _

A

positive

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31
Q

5 ways to prove triangle congruency

A

SSS, SAS, ASA, AAS, HL

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32
Q

Ways that don’t prove triangle congruency

A

AA, SS, ASS

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33
Q

Transversal

A

Line that cuts parallel lines

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34
Q

What side lengths can be a triangle

A

2 lengths must be bigger than longest side length

35
Q

Shortest side is always opposite of the _ angle

A

smallest

36
Q

How to reflect over y = -x

A

(-y,-x)

37
Q

Diagonals are perpendicular in a

A

kite

38
Q

A kite is

A

2 pairs of consecutive congruent sides

39
Q

A kite has _ parallel sides

A

no

40
Q

A kite has _ pair of opposite congruent angles

A

1

41
Q

_ sides are congruent in a parallelogram

A

opposite

42
Q

_ sides are parallel in a parallelogram

A

opposite

43
Q

_ angles are congruent in a parallelogram

A

opposite

44
Q

_ angles are supplementary in a parallelogram

A

consecutive

45
Q

Do diagonals bisect each other in a parallelogram?

A

yes

46
Q

What is a trapezoid

A

1 pair of parallel sides

47
Q

Base angles are _ in a isosceles trapezoid

A

congruent

48
Q

_ are congruent in a isoscles trapezoid

A

diagonals

49
Q

_ are congruent in Rectangle

A

diagonals

50
Q

A rectangle is a parallelogram that has _

A

4 right angles

51
Q

A rhombus is a parallelogram that has _

A

4 congruent sides

52
Q

_ are perpendicular and bisect opposite angles in a rhombus

A

diagonals

53
Q

A square is a

A

rectangle and rhombus

54
Q

Complementary angles =

A

90

55
Q

Supplementary angles

A

180

56
Q

Adjacent angles

A

Angles that share a ray

57
Q

Linear pair

A

angles together that make a straight line

58
Q

vertical angle

A

angles formed by same line pair

59
Q

Triangle sum theorm

A

All angles of triangle = 180

60
Q

Exterior angle theorm

A

Two interior angles = exterior angle next to third interior angle of triangle

61
Q

Midsegment of triangle

A

Middle of two adjacent sides connected

62
Q

Midsegment is _ of parallel side

A

1/2

63
Q

Median of triangle

A

Segment whose endpoints are a vertex and midpoint of opposite side

64
Q

Centroid of triangle

A

All medians of triangle connect (concurrency)

65
Q

Medians are divided into

A

thirds

66
Q

Altitude of triangle

A

Vertex of triangle to perpendicular

67
Q

Orthocenter of triangle

A

Point of concurrency of altitudes

68
Q

Pre image and image in dilations are

A

similar

69
Q

corresponding angles of dilations are

A

proportional

70
Q

corresponding sides of dilations are

A

proportional

71
Q

3 properties of similiarity

A

AA, SSS, SAS

72
Q

180 rotation

A

(-x,-y)

73
Q

Clockwise 90

A

(y, -x)

74
Q

Counterclockwise

A

(-y,x)

75
Q

Total interior angle sum

A

(sides-2)180

76
Q

magnitude of rotational symmetry

A

how many degrees of rotation

77
Q

In exponential relationships, the y values have

A

proportional differences

78
Q

In linear relationships, the y values have

A

equal differences

79
Q

point-slope equation

A

y-y1 = m(x-x1)

80
Q

recursive function

A

a function that calls back on itself

81
Q

0.6^2 function is downward or upward

A

downward

82
Q

f(1)=−1.8

f(n)=f(n−1)⋅9

A

f(n)=−1.8⋅9 ^n−1

83
Q

geometric sequence/progression

A

multiply previous element by constant

84
Q

Arithmetic progression

A

difference is constant

Precalc (8 decks)

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