| Term | Definition |
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Set |
A collection of objects |
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Element |
A member of a set |
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Finite Set |
Countable or set number of elements |
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Infinite Set |
Too vast to count |
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Empty Set (Null Set) |
Does not contain any elements |
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Natural Numbers |
All positive integers (not including zero) |
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Whole Numbers |
All positive integers (including zero) |
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Integers |
All whole numbers and their additive inverses |
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Rational Numbers |
Any number than can be expressed as a fraction |
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Real |
The set of all rational and irrational numbers |
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Equal Sets |
Sets with exactly the same elements |
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Equivalent Sets |
Sets with the same amount of elements |
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Associative Property |
Grouping can change |
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Commutative Property |
Order can change |
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Additive Identity |
0 |
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Multiplicitive Identity |
1 |
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Multiplication Property of Zero |
Any Number×0=0 |
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Distibutive Property |
a(b+c)=a×b+a×c |
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Additive Inverse |
opposite |
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Multiplicitive Inverse |
reciprocal |
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Intersection |
All elements in common |
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∩ |
Intersection |
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Union |
All elements in either or both |
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U |
Union |
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Mutually exclusive |
Two sets which have no elements in common |
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Disjoint |
Two sets which have no elements in common |
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Opposites |
Equal distance, but different directions from 0 on the number line |
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Absolute Value |
the distance of a number from 0 on the number line (never negative) |
|
|x| |
Absolute value |
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Composite Number |
A whole number greater than 1 that is not prime |
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Factor |
A whole number that divides evenly into another number |
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Prime Number |
A whole number greater than 1 whose only factors are 1 and itself |
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GCF |
Greatest Common Factor |
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Relatively Prime |
When the GCF of two numbers is one |
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Prime Factorization |
A number expressed as a product of prime numbers |
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Lowest Terms |
When the numberator and denominator are relatively prime |
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LCM |
Least Common Multiple |
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Ratio |
A cinoarusib if twi quantities |
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Rate |
When two quantities have two different units of measure (not convertable) |
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Proportion |
A statement of equality between two ratios |
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Percent |
A ratio of a number to 100 |
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BPQ |
Basic Percent Question |
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Principle |
Amount Borrowed |
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Interest Rate |
Percent fee per year |
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Interest |
Amount of fee |
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Total to be repaid |
Principle and interest |
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Point |
Exact location in space (infinitly small) |
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Line |
Infinitly long (infinitly thin) straight path made up of points |
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Plane |
Intfinitly thin, never-ending flat surface |
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Axiom |
A (mathematical) statement which we accept as true without proof that cannot be disproved (a counterexample cannot be found) |
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Line Segment |
Part of a line with two endpoint |
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Ray |
Part of a line with one endpoint |
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Collineer |
When two or more points lay on a common line |
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Parallel Lines |
Two or more lines which never intersect, and on the same plane |
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Skew |
Two line which never intercect and are not on the same plane |
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(Geometric) Intersection |
Points in common |
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Angle |
Two rays with a common endpoint (a vertex) |
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(1) Degree |
1/360 of a complete rotation (x°) |
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Acute Angle |
An angle >0° and <90° |
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Right Angle |
An angle =90° |
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Obtuse Angle |
An angle >90° and <180° |
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Straight Angle |
An angle =180° |
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Reflex Angle |
An angle >180° and <360° |
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Perpendicular |
When two lines intersect at right angles |
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Adjacent Angles |
Two angles which share a common vertex, a common ray, and do not overlap |
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Theorem |
A mathematical statement which we can prove to be true |
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Complementary Angle |
When the sum of the measures of a pair of angles add up to 90° |
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Supplementary Angle |
When the sum of the measures of a pair of angles add up to 180° |
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Vertical Angles |
Two nonadjacent angles formed by two intersecting lines |
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Congruent Segments |
Equal length |
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Transversal |
A line which intersects two given lines in a plane |
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Corresponding Angles |
A pair of angles which are on the same side of the transversal, one must be interior, one must be extirior, and they must be nonadjacent |
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Alternative Interior Angles |
A pair of angles which are both interior, different sides of the transversal and nonadjacent |
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Polygon |
A closed figure made up of line segments with no interior reflex angles |
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Regular Polygon |
A polygon with congruent sides and congruent angles |
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Triangle |
A polygon with 3 sides |
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Quadrilateral |
A polygon with 4 sides |
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Pentagon |
A polygon with 5 sides |
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Hexagon |
A polygon with 6 sides |
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septagon (heptagon) |
A polygon with 7 sides |
|
octagon |
A polygon with 8 sides |
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nonagon |
A polygon with 9 sides |
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decigon |
A polygon with 10 sides |
|
ondecagon |
A polygon with 11 sides |
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dodecagon |
A polygon with 12 sides |
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13-gon |
A polygon with 13 sides |
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Perimeter (of a polygon) |
the sum of the length of the sides |
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Regular Triangle (equilateral triangle) (equiangular triangle) |
3 congruent sides |
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Isosceles Triangle |
A triangle with at least two congruent sides |
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Scalene Triangle |
No congruent sides |
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Right Triangle |
A triangle with one right angle |
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Obtuse Triangle |
A triangle with one obtuse angle |
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Acute Triangle |
A triangle with three acute angles |
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Parallelogram |
A quadrilateral with opposite sides parallel, both pairs of opposite angles congrent, and both pairs of opposite sides congruent |
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Rhombus |
A parallelogram with all congruent sides |
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Rectangle |
A parallelogram with all congruent angles |
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Square |
A parallelogram with all congruent sides and angles |
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Trapezoid |
A quadrilateral with exactly one pair of parallel sides (the bases) |
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Isosceles Trapeziod |
A trapezoid with congruent legs |
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Circle |
The set of all points which are equidistant from a given point on a plane |
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Radius (r) |
(length of) Segment from the center to any point on the circle |
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Chord |
A segment with endpoints on the circle |
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Diameter (d) |
A chord which passes through the center |
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Central Angle |
Sides are radii and vertex is the center |
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Circumference (C) |
Distance around a circle |
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Arc |
A part of a circle |
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Pi (∏) |
Ration of C/d for any circle (non-terminating, non-repeating value) |
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Line Reflection |
A flip or mirror image |
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Line Symmetry (Reflectional Symmetry) |
When there exists at least one line for which one side is the mirror image of the other |
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Translation |
Moves each point of a figure the same distance, in the same direction |
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Rotation |
Moves each point of a figure to its image my rotating about a fixed point in a plane (counterclockwise) |
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Algebra |
Uses variables to represent unkown numbers |
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Algebraic Term |
Any product of numbers and variables |
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Algebraic Expression |
One or more algebraic terms which are connected by addition and or subraction |
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Like Terms |
Terms in which all variables and their corresponding exponents are exactly the same (coefficents may differ) |
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Algebraic Equation |
A statement of equality between two algebraic expressions |
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Solution |
Vaule(s) which make the statement true |
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OAASA |
Only an Algebraic Solution Accepted |
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Consecutive Integers |
Integers in increasing counting order |
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Area |
Amount of space taken up by a two-dimensional figure |