Chapters 1&2

Question 1

Numbers 1 digit apart

Answer 1

Consecutive

Question 2

Cannot prove or disprove

Answer 2

Postulate

Question 3

mathmatical statements

Answer 3

Theorems

Question 4

Point, line, and plane

Answer 4

Undefined Terms

Question 5

Location (typically a dot)

Answer 5

Point

Question 6

Straight ____, infinite number of points

Answer 6

Line

Question 7

Flat surface that continues forever

Answer 7

Plane

Question 8

group/collection of items, numbers, objects, etc.

Answer 8

Set

Question 9

Name for items that belong to a set

Answer 9

Element

Question 10

C: If one set contains every element of another set, then the second set is a _____

Answer 10

Subset

Question 11

What does ∈ mean?

Answer 11

Element of

Question 12

{ } or ∅: A set that has no elements

Answer 12

Empty set or Null set

Question 13

Two sets are ____ if they contain the exact same elements

Answer 13

Equal

Question 14

∪ means _____ and “or” (The elements of two sets together into one)

Answer 14

Union

Question 15

∩ means _____ and “and” (Includes all common (elements in BOTH sets) elements)

Answer 15

Intersection

Question 16

Two sets ______ if there are one or more elements that are common to the sets

Answer 16

Intersect

Question 17

{1, 2, 3, 4, 5, … }

Answer 17

Natural Numbers

Question 18

{0, 1, 2, 3, 4, 5, … }

Answer 18

Whole Numbers

Question 19

{….-2, -1, 0, 1, 2, …}

Answer 19

Integers

Question 20

Any number in the form p/q where p,q ∈ integers and q ≠ 0 (ex. 1/2, 0.4, 0.51)

Answer 20

Rational Number

Question 21

Cannot be written as a fraction (ex. π, √, e) , not rational

Answer 21

Irrational Number

Question 22

For every x and y, one and only one of the following properties holds: x(less than)y,x=y, or x(greater than)y

Answer 22

Trichotomy Property

Question 23

Every positive number has exactly one positive square root

Answer 23

Existence of Square Roots Property

Question 24

a+b = b+a

Answer 24

Commutative Property of Addition

Question 25

ab = ba

Answer 25

Commutative Property of Multiplication

Question 26

(a+b)+c = a+(b+c)

Answer 26

Associative Property of Addition

Question 27

(ab)c=a(bc)

Answer 27

Associative Property of Multiplication

Question 28

a(b+c)=ab+ac

Answer 28

Distributive Property

Question 29

If a=b and c=d, then a+c=b+d

Answer 29

Addition Property of Equality

Question 30

If a=b and c=d, then a-c=b-d

Answer 30

Subtraction Property of Equality

Question 31

If a=b and c=d, then ac=bd

Answer 31

Multiplication Property of Equality

Question 32

If a=b and c≠0, then a/c=b/c

Answer 32

Division Property of Equality

Question 33

If a=b and b=c, then a=c

Answer 33

Transitive Property of Equality

Question 34

If x(less than)y and y(less than)z, then x(less than)z

Answer 34

Transitive Property of Inequalities

Question 35

If a(less than)b and x(less than or equal to), then a+y(less than)b+y

Answer 35

Addition Property of Inequalities

Question 36

If x(less than)y and a(greater than)0, then ax(less than)ay

Answer 36

Multiplication Property of Inequalities

Question 37

Distance is always positive

Answer 37

The Distance Postulate

Question 38

Thousandth, 1/1000

Answer 38

Milli(m)

Question 39

Hundreth, 1/100

Answer 39

Centi (c)

Question 40

Tenth, 1/10

Answer 40

Deci (d)

Question 41

Ten, 10

Answer 41

Deca (da)

Question 42

Hundred, 100

Answer 42

Hecto (h)

Question 43

Thousand, 1000

Answer 43

Kilo (k)

Question 44

The points of a line can be placed in correspondance with the real number system in a way that: 1. Every point of the line corresponds with one real number 2. Every real number corresponds with a point on the line 3. Distance between any two points is the absolute value of the difference of their corresponding real numbers

Answer 44

Ruler Postulate

Question 45

The sort described in the ruler postulate is called a _____

Answer 45

Coordinate System

Question 46

The number corresponding to a given point is called its _____

Answer 46

Coordinate

Question 47

The coordinate of P is 0 and Q is a positive

Answer 47

Ruler Placement Postulate

Question 48

Definition: Point B is ___ A and C if: 1. A, B, C are different, collinear points 2. AB + BC = AC *When B is between A and C, we write "A-B-C" or "C-B-A"*

Answer 48

Between

Question 49

Let A, B, and C be points of a line with X,Y,Z respectively. If X(less than)Y(Less than)Z, then A-B-C

Answer 49

Theorem 2-3

Question 50

If A,B, and C are 3 different collinear points, then exactly one of them is between the other two.

Answer 50

Theorem 2-4

Question 51

Two points detwermine a line written as AB (Line on top of AB)

Answer 51

The Line Postulate or Theorem 2-5

Question 52

If B-A-C, then AB and AC are opposite rays -Two collinear rays whose only intersection is a common endpoint

Answer 52

Opposite Rays

Question 53

Let AB be a ray and X a positive number. There is exactly one point, P, on AB such that AP=X

Answer 53

Point-Plotting Theorem

Question 54

A point B is called the _____ of AC (Segment) if: 1. A-B-C 2. AB=BC

Answer 54

Midpoint

Question 55

Every segment has exactly one midpoint

Answer 55

Midpoint theorem

Question 56

The midpoint of a segment is said to _____ the segment

Answer 56

Bisect

Question 57

The midpoint of a segment or any segment, ray, line, or plane which contains the midpoint but not the segment is a _____ of it.

Answer 57

Bisector

Question 58

"In that order"

Answer 58

Respectively

Question 59

Euclid, a famous Greek mathematician known as the "Father of Geometry" in 300 B.C., wrote his ideas into a book. What was the name of this book?

Answer 59

"The Elements"

Question 60

Finding subsets:

Answer 60

2^n