| A | B |
|---|
| properties of discrete geometry | point is a dot, a line is a set of dots in a row, dots have size |
| locations as points | point is exact location, shortest path between any two points,number line,lines are dense |
| ordered pairs | (x,y), point is ordered pair of real numbers, line is set of ordered pairs that satisfy the equation ax+by=c |
| points in networks | arcs, points and arcs= network,point is node of network,aline is an arc connecting either two nodes or one node to itself,2or 0 odd nodes transversible |
| vanishing point | point where lines seem to meet |
| undefined terms | point, line, plane |
| unique line assumption | through any 2 points there is exactly one line |
| line intersection theorem | 2 different lines intersect in at most one point |
| additive property | if b is on ac then ab+ bc= ac |
| conditional | if then statement |
| antecedent | if part of an if then statement |
| consequent | then part of an if then statement |
| instance of a conditional | if and then part true |
| counterexample of a conditional | if part true then part false |
| converse | of p=>q is q=>p |
| good definition | known words, accurate, no extra info |
| union of 2 sets | a and b set of elements in a, b, or both |
| intersection of 2 sets | set of elements in both a and b |
| triangle inequality postulate | sum of the lengths of any two sides of a triangle is greater than the length of the third side |
| angle | union of two rays with same endpoint |
| adjacent angles | if and only if a common side is interior to the angle formed by the non-common sides |
| linear pair | non common sides are opposite rays |
| verticle angles | union of two sides is 2 lines |
| corresponding angles | imply // lines |
| // lines | imply corresponding angles |
| slope | y2-y1/x2-x1 |
| reflection postulate | angle measure, bet weeness, colinearity,disatance |
| translation | is the composite of 2 reflections over // lines |
| rotation | composite of 2 reflections over intersecting lines |
| vector | quantity that can be characterized by its direction and magnitude |
| //lines =>AIA theorem | if two // lines are cut by a transversal then alternate interior angles are congruent |
| polygon-sum theorem | the sum of the measures of the angles of a convex n-gon is (n-2) *180 |
