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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.

    Adjacent Angles

    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

    Adjacent Angles

    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

    Circumscribed About

    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.

    Diameter

    ...

    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:

    Inscribed In

    ...

    Inscribed In, Circumscribed About

    ...

    Isosceles Triangle

    ...

    Isosceles Triangle Properties

    ...

    Law of Similitude

    ...

    Line Segment

    ...

    Linear Pair

    ...

    Linear Pair Property

    ...

    Minute

    ...

    Obtuse

    ...

    Parallel

    ...

    Parallel lines (in a plane)

    ...

    Parallelogram

    ...

    Perimeter

    ...

    Perpendicular

    ...

    Perpendicular lines

    ...

    Polygon

    ...

    Polyhedron

    ...

    Proportion

    ...

    Proving Triangles Congruent

    ...

    Pyramid

    ...

    Pythagorean Theorem

    ...

    Radius

    ...

    Rectangle

    ...

    Rectangular Prism

    ...

    Reflection (over a line)

    ...

    Rhombus

    ...

    Right Angle, Right Triangle

    ...

    Rotation (in a plane)

    ...

    Scalene Triangle

    ...

    Second

    ...

    Semicircle

    ...

    Similar

    ...

    Similar Triangles

    ...

    Sphere

    ...

    Square

    ...

    Substitution Property

    ...

    Supplementary Angles

    ...

    Tangent

    ...

    Translation (in a plane)

    ...

    Trapezoid

    ...

    Triangle

    ...

    Triangle Angle-Sum Property

    ...

    Trigonometric Ratios

    ...

    Trigonometric Functions

    ...

    Vertex

    ...

    Vertical Angles

    ...

    Volume

    ...

    Functions and Graphs

    ...

    Axis of Symmetry

    ...

    Cartesian plane

    ...

    Coordinate

    ...

    Difference

    ...

    Distance

    ...

    Distance Formula

    ...

    Equation

    ...

    Even Number

    ...

    Frequency

    ...

    Function

    ...

    Graph of a Function

    ...

    Graph of an Equation

    ...

    Intercept

    ...

    Line Segment

    ...

    Median

    ...

    Midpoint

    ...

    Odd Number

    ...

    Order of Operations

    ...

    Ordered Pair

    ...

    Origin

    ...

    Parabola (with a vertical axis)

    ...

    Parallel

    ...

    Pythagorean Theorem

    ...

    Quadrant

    ...

    Rectangular Coordinate System

    ...

    Right Angle, Right Triangle

    ...

    See More

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