| A | B |
|---|
| Properties of a parallelogram | 1.opposite sides are congruent, 2. opposite angles are congruent, 3. Consecutive angles are supplementary, 4. diagonals bisect each other |
| Plane | made up of both points and lines; 2 dimensional |
| convex vs. concave | convex: no line containing a side has a point on the interior; concave: opposite of convex |
| angle | formed by 2 rays with a common end point |
| line | represents many points; extends in 2 directions; has infinitely many points; extends in 1 dimension |
| conditional statement | "If-Then" or "Hypothesis-Conclusion" Hypothesis=if, Conclusion=then |
| Conjecture | using inductive reasoning to make predictions (every point on the y axis has an x-coordinate of 0) |
| Point | represents location (no size) |
| Ray | An exension/part of a line with one endpoint (goes on forever in one direction) |
| Vertex | endpoint |
| Congruent segments | equal in length |
| Congruent angles | Angles with the same measures |
| Initial point | starting point of a ray |
| collinear vs. noncollinear | co-points on the same line; for any 3 noncolinar points, there exists 1 plane through those points; nonco-points not on the same line |
| Segment Addition Postulate | If Q is between points P and S, then PQ + QS=PS |
| Coplanar | Points and lines that are in the same plane |
| Diagonal | segments that connesct non-consecutive verticies |
| Adjacent angels | 2 angles that share a vertex and a side but do not overlap (no common interior points) |
| Vertical angles | opposite angles formed by 2 intersecting lines |
| Inductive and Deductive Reasoning | in: using patterns and examples to make predictions; deductive- using facts, definitions, and accepted properties to reach a conclusion |
| Equivalent Statements | When statements are either both true or both false; conditional statement/contrapositive=true; inverse/converse=false, but can be true |
| Symbolic Notation | p=hypothesis, q=conclusion, P->q= conditional statement, q->P=converse, ~P->~q=inverse,~q->~p=contapositive, P<->q= biconditional |
| Triangle Sum Thereom | Sums of the angles of any triangle is 180 degrees |
| Negation | negative of a statement "not" or "no" ex:Today is Monday. Today is NOT Monday |
| Inverse | Negation of your conditional statement ex: if not A, then not B |
| Contrapositive | Negation of your converse ex: if not B, then not A |
| Triangle | Figure formed by connecting segments whose endpoints are non-collinear points |
| Scalene triangle | no sides are congruent |
| isosceles triangle | at least 2 sides are congruent |
| equilateral triangle | all sides are congruent |
| right triangle | 1 right angle |
| obtuse triangle | 1 obtuse angle |
| acute triangle | 3 acute angles |
| equilateral triangle | 3 congruent angles |
| Supplementary angles | 2 angles that add up to 180 degrees |
| Polygon | closed plane figure bounded by strait lines (no curves, openings, or crossings) |
| Linear Pair Postulate | 2 angles that form a linear pair are always supplementary |
| complementary angles | 2 angles that add up to 90 degrees |
| Postulate | statement that is accepted without proof |
| exterior angles | formed by extending sides of a polygon (forms linear pair with adjacent angles); sum of exterior angles is 360 degrees |
| Linear Pair | 2 adjacent angles whose non-shaped sides form a line |
| Vertical angles thereom | Vertical angles are congruent |
| Regular polygon | A polygon that is BOTH equilateral and equiangular |
| Properties of a rectangle | diagonals are congruent |
| Properties of a rhombus | diagonals are perpendicular, diagonals are angle bisectors |
| Equilateral polygon | all sides are congruent |
| Equiangular polygon | all angles are congruent |
| converse | switch hypothesis and conclusion ex: if b then a |
| biconditional | if and only if ex: A iff B |
| Law of detachment | If P implies q, and P is true, then q is true; ex: if you go to the zoo, then you will see animals. Sam goes to the zoo. Conclusion-Sam will see animals |
| Law of Syllogism | If P implies q and q implies r and r implies s, then P implies s |
| What needs to happen so that the biconditional is true? | the conditional statement and converse must be true |
