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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
rational number
x^p/q (rational number) = q root of x^p
26
-3^2 =
- (3*3)
27
(-3)^2 =
-3 * -3
28
x^3*x^3 =
x^6
29
a^5/a^2 =
a^3
30
A rotation that is counterclockwise has a degree of _
positive
31
5 ways to prove triangle congruency
SSS, SAS, ASA, AAS, HL
32
Ways that don't prove triangle congruency
AA, SS, ASS
33
Transversal
Line that cuts parallel lines
34
What side lengths can be a triangle
2 lengths must be bigger than longest side length
35
Shortest side is always opposite of the _ angle
smallest
36
How to reflect over y = -x
(-y,-x)
37
Diagonals are perpendicular in a
kite
38
A kite is
2 pairs of consecutive congruent sides
39
A kite has _ parallel sides
no
40
A kite has _ pair of opposite congruent angles
1
41
_ sides are congruent in a parallelogram
opposite
42
_ sides are parallel in a parallelogram
opposite
43
_ angles are congruent in a parallelogram
opposite
44
_ angles are supplementary in a parallelogram
consecutive
45
Do diagonals bisect each other in a parallelogram?
yes
46
What is a trapezoid
1 pair of parallel sides
47
Base angles are _ in a isosceles trapezoid
congruent
48
_ are congruent in a isoscles trapezoid
diagonals
49
_ are congruent in Rectangle
diagonals
50
A rectangle is a parallelogram that has _
4 right angles
51
A rhombus is a parallelogram that has _
4 congruent sides
52
_ are perpendicular and bisect opposite angles in a rhombus
diagonals
53
A square is a
rectangle and rhombus
54
Complementary angles =
90
55
Supplementary angles
180
56
Adjacent angles
Angles that share a ray
57
Linear pair
angles together that make a straight line
58
vertical angle
angles formed by same line pair
59
Triangle sum theorm
All angles of triangle = 180
60
Exterior angle theorm
Two interior angles = exterior angle next to third interior angle of triangle
61
Midsegment of triangle
Middle of two adjacent sides connected
62
Midsegment is _ of parallel side
1/2
63
Median of triangle
Segment whose endpoints are a vertex and midpoint of opposite side
64
Centroid of triangle
All medians of triangle connect (concurrency)
65
Medians are divided into
thirds
66
Altitude of triangle
Vertex of triangle to perpendicular
67
Orthocenter of triangle
Point of concurrency of altitudes
68
Pre image and image in dilations are
similar
69
corresponding angles of dilations are
proportional
70
corresponding sides of dilations are
proportional
71
3 properties of similiarity
AA, SSS, SAS
72
180 rotation
(-x,-y)
73
Clockwise 90
(y, -x)
74
Counterclockwise
(-y,x)
75
Total interior angle sum
(sides-2)180
76
magnitude of rotational symmetry
how many degrees of rotation
77
In exponential relationships, the y values have
proportional differences
78
In linear relationships, the y values have
equal differences
79
point-slope equation
y-y1 = m(x-x1)
80
recursive function
a function that calls back on itself
81
0.6^2 function is downward or upward
downward
82
f(1)=−1.8 | f(n)=f(n−1)⋅9
f(n)=−1.8⋅9 ^n−1
83
geometric sequence/progression
multiply previous element by constant
84
Arithmetic progression
difference is constant

Precalc (8 decks)

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