A | B |
Diameter | The distance across a circle through its center |
Point | Undefined term named with a capital printed letter |
Line | Undefined term named by a lower case script letter |
Plane | Undefined term named by an upper case script letter |
Postulate | An axiom |
Congruent | Same size and shape |
Equal | Same size |
Similar | Same shape, proportional size |
Theorem | A true statement that follows as a result of other true statements |
Right Angle | =90 degrees |
Linear Pair Postulate | Linear Pairs are supplemental |
Parallel Lines | The same distance apart, never intersecting |
Perpendicular Lines | Intersecting to form 4 right angles |
Skew Lines | Not parallel, but never intersecting |
Transversal | Any line that intersects 2 others in distinct points |
Point | The intersection of 2 lines |
Solve an equation | Find the value of the variable that makes a statement true |
Slope | Steepness |
Rise Over Run | Slope |
Change in Y over Change in X | Slope |
Rate of Change in a Graph | Slope |
Change in Y | Rise |
Change in X | Run |
Independent Variable | X |
Dependent Variable | Y |
Line Segment | All the points between the endpoints |
Ruler Postulate | Put one endpoint on zero and the other can be on a positive real number |
Origin | (0,0) |
Segment Addition Postulate | A is between B & C and BA + AC = BC |
Pythagorean Theorem | a^2+b^2=c^2 |
Distance Formula | Used to find length |
Circumference | The perimeter of a circle |
Line | The intersection of 2 planes |
Polygon | A closed plane figure with line segments for sides |
Regular Polygon | Equilateral, Equiangular Polygon |
Equilateral | Same length sides |
Equiangular | Same size angles |
Area of a Triangle | 1/2bh |
Area of a Rectangle | bh |
Area of a Square | side^2 |
Area of a Circle | Pi*r^2 |
Circumference of a Circle | d*Pi |
Diameter | 2r |
Bisect | Cut into 2 equal parts |
Midpoint | A point that bisects a segment |
Acute | >0 degrees and <90 degrees |
Obtuse | >90 degrees and <180 degrees |
Reflex | >180 degrees and <360 degrees |
Supplementary | sums to 180 degrees |
Complementary | sums to 90 degrees |
Adjacent Angles | Sharing 1 ray but no interior points |
Area of a Trapezoid | 1/2h(b1+b2) |
Circumference | 2Pir |
Justify | provide reasoning and/or proof |
Explain | show reasoning |
Evaluate | Find the value of an algebraic expression for a given value of the variable |
Prime Number | Has exactly two positive factors, one and itself |
Prime Factorization | The expression of a number as the product of prime numbers |
Coefficient | A numerical factor ina term of an algebraic expression |
Coefficient | the "3" in 3a |
Triangle | 3-sided polygon |
Reciprocal | Multiplicative Inverse |
Opposite | Additive Inverse |
Linear Pair | Adjacent supplementary angles |
Parallelogram | Quadrilateral with opposite sides parallel |
Area | Measured in squre units |
Ray | Part of a line with an endpoint and all points in the opposite direction |
Concave | Extending a side will interset the interior |
Convex | No line containing a side also contains an interior point |
Regular | All sides congruent, all angles congruent |
Collinear | On the same line |
Coplanar | In the same plane |
Between | If AB + BC = AC, then B is this to A & C |
Endpoint | The beginning of a ray |
Geometry | A branch of mathematics that studies the physical world |
Hypothesis | The part of a conditional statement directly following the word "if" |
Diameter | The distance across a circle through its center |
Conditional Statement | Any statement in "if - then" form |
Converse | The conditional statement made by changing the order of the original hypothesis and conclusion |
Negation | The opposite of a statement |
Negation | The word for the symbol ~ |
Contrapositive | The inverse of the converse of the original conditional statement |
Inverse | The statement formed by negating the hypothesis and the conclusion of a conditional statement |
Indirect Reasoning | Using general patterns to form a conjecture |
Deductive Reasoning | Using facts, properties, defintions, theorems, & laws of logics to form a logical argument. |
Law of Syllogism | The Chain Rule |
Law of Detatchment | Direct Argument |
Biconditional | Any statement containing "if and only if |
Counter Example | Any example that proves a conjecture false |
Conjecture | Educated Guess |
Conclusion | The part of a conditional statement directly following the word "then" |
Addition Property of Equality | + the same thing to each side |
Subtraction Property of Equality | - the same thing from each side |
Transitive Property of Equality | If a=b and b=c, then a=c |
Transitive Property of Congruence | Two objects that are the same size and shape as a third object are the same size and shape as each other |
Reflexive Property of Equality | A=A |
Symmetric Property of Equality | if A=B, the B=A |
Congruent Supplements Theorem | If each of 2 angles are supplemental to a third, they're supplemental to each other |
Skew Lines | Not parallel, but never intersecting |
Point | The intersection of 2 lines |
Solve an equation | Find the value of the variable that makes a statement true |