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• ### Integers

-3, -2, -1, 0, 1, 2, 3

### Natural Numbers or Counting Numbers

1, 2, 3, 4, 5, 6,...

### Braces

{ }, are used to indicate a set of numbers

### Continues without end

three dots after 1, 2, and 3,... which are read "and so on," mean that the pattern?

### Whole numbers

The natural numbers, together with the number 0, are called the?

### Whole Numbers

0, 1, 2, 3, 4, 5, 6, 7, 8, 9,...

### Integers

The whole numbers together with the negatives of the counting numbers form the set of? . . . , -3, -2, -1, 0, 1, 2, 3, . . .

### Integers

. . . , 3, 2, 1, 0, 1, 2, 3, . . .

### Rational Numbers

consists of all possible ratios of the form a/b, where a
and b are integers, except that b is not allowed to be 0.

### Ratios

Rational numbers are used for

### Rational Numbers

{ (The set of) a / b | (such that) | (conditions) a and b are integers, with b not = to 0 }
"the set of all numbers of the form a/b, where a and b are integers, with b not equal to 0."

### Coordinates of the points

(x, y): The numbers corresponding to the points on the line are called the?

### Unit

The distance between two consecutive integers is called a

### Units

are the same for any two consecutive integers.

### origin

The point with coordinate 0 is called the

### Left to Right

The numbers on the number line increase in size from

### Smaller number

When we compare
the size of any two numbers, the larger number lies to the right of the ___ on the Number Line?

### Zero

is larger than any negative number and smaller than any positive number.

### point on the number line

For every rational number there is a

### set of real numbers or R

The set of numbers that corresponds to all points on a number line is called the

### Absolute Value

The absolute value of a real number is its distance from on the number line. We write the absolute value of a number x as |x|.

### Acute angle

An angle that measures less than a right angle (less than 90 degrees).

### Equilateral Triangle

A triangle is equilateral if all three of its sides have the same length.

### 60 degrees

Each angle of an equilateral triangle have the same measure of?

### Isosceles Triangle

A triangle is isosceles if two of its sides have the same length.

### Equilateral Triangle

A triangle with all three sides share the same length

### Isosceles Triangle

A triangle with two of its sides the same length.

### Oblique angle

is an angle whose measure is not a multiple of 90 degrees.

### oblique triangle

is a triangle with no interior angle measuring 90 degrees.
In other words, it is any triangle that is not a right triangle.

### Scalene Triangle

A triangle with all three of its sides different lengths.

are two angles that share a common side. They have no interior points in common (their insides do not overlap at all).

### Linear Pair

Two adjacent angles with noncommon sides that form a line. any pair of linear angles is supplementary, that is, the sum of their measures is 180 degrees.

### Angles Formed by a Transversal

Consider the angles formed when two lines, l and m , are intersected by a third line t, called a transversal.

### Corresponding angles:

two angles that are formed by two lines and a transversal and occupy corresponding positions

### Alternate interior angles:

Angles that lay inside the parallel lines and are on opposite sides of the transversal; They are congruent.

### Geometry

the branch of mathematics that deals with the study of points, lines, angles, shapes, and solid figures

### Acute

less than 90 degrees

are a pair of angles with a common vertex and a common side, but no common interior points, two angles that lie in the same plane, have a common vertex, and a common side, but no common interior points

### Alternate Exterior Angles

Angles that lay outside the parallel lines and are on opposite sides of the transversal; They are congruent.

### Alternate Interior Angles

angles are on opposite sides of the transversal and on the inside of the given lines

### Altitude

the perpendicular distance from the base of a geometric figure to opposite vertex (or side if parallel), the perpendicular segment from a vertex of a triangle to the opposite side or the line that contains the opposite side

### Angle

formed by two rays with the same endpoint

### Angle of Depression, Angle of Elevation

the angle between a horizontal line and the line of sight. if looking down, the angle is an angle of depression. if looking up, the angle is an angle of elevation, The angle that is formed by looking up or down at something

### Angles Formed by a Transversal: AIA, AEA, CIA, Corresponding,

-interior
-exterior
-alternate interior
-alternate exterior
-consecutive interior
-corresponding,

### Area

the extent of a 2-dimensional surface enclosed within a boundary

### Chord

a segment whose endpoints are on the circle

### Circle

The set of all points in a plane that are the same distance from a given point called the center

### Circumference

the length of the closed curve of a circle, Pi r 2 or 2 pi R

a circle is circumscribed about a polygon if the vertices of the polygon are on the circle. A polygon is circumscribed about a circle if all the sides of the polygon are tangent to the circle.

### Complementary Angles

Two angles whose sum is a right angle. Two angles are complementary if and only if the sum of their measures is 90 degrees.

### Cone

A three-dimensional figure with one vertex and one circular base, a 3-D figure with a circular or non-circular base and rounding sides rising to a point

### Congruent

..., corresponding in character or kind, figures that have the same size and shape, matching [congruency (n)]

### Congruent Triangles

..., are triangles whose corresponding angles and sides are congruent. (They are exactly the same size and shape.), Triangles that have their corresponding parts congruent., if 2 triangles are congruent, then C.P.C.T.C.,
and SAS, SSS, ASA, AAS, HL

### Consecutive Interior Angles

..., If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary., Two angles that are formed by two lines and a transversal and lie between the two lines and on the same side of the transversal. Also called same-side interior angles.

### Corresponding Angles

..., angles in the same place on different lines, Two angles that are formed by two lines and a transversal and occupy corresponding positions., Angles that have the same relative position on two different parallel lines cut by a transversal

### Cross Product

..., In an equation made up of two fractions, the numerator of one fraction times the denominator of the other fraction. If two ratios form a proportion, then their cross products are equal. We can use the cross products to solve for a variable in a proportion. If a/b = c/d then a d = b c .

### Cube

A geometrical solid with six congruent square faces. The third power of a number. Each face is parallel to one other face. Each of the twelve edges has the same length. (In the figure, each has length a.) The volume of a cube is equal to a^3 (a raised to the power of 3) where a is the length of an edge.

### Cylinder

A cylinder is formed from two circles and a rectangle that has been rolled up. The two circles are the bases. They are equal in size. The radius r of these bases is the radius of the cylinder. The distance h between the bases is the height of the cylinder.

### Degree

A unit of angle, commonly representing one-ninetieth of a right angle. Although systems where one degree (a different unit) representing one hundredth of a right angle exists.

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### Distance

The measurement between two points is the length of the line segment joining them.

### Distance Formula d = √[( x₂ - x₁) + (y₂ - y₁)]

The distance between the points (x₁, y₁) and (x₂, y₂) is: Distance = Square Root of the sum of [the (change in X squared ) + (change in Y squared) ] Or d = √[( x₂ - x₁) + (y₂ - y₁)]

### Equation

is a mathematical expression of equality.

### Equilateral Triangle

if all three of its sides of a triangle have the same length.

### Equivalence Properties

Reflexive property:
Symmetric property:
Transitive property:

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