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