| A | B |
|---|
| Postulate | Statement that is accepted without proof |
| Definition | Statement that states the meaning of a word or phrase |
| Reflexive Property | the line segment PG = the line segment PG |
| Symmetric Property | If the line segment PG = the line segment RS, then the line segment RS - the line segment PG |
| Transitive Property | If angle 1 = angle 2 and angle 2 = angle 3, then angle 1 = angle 3. |
| Addition Property | If PQ = RS, then PQ + QR = QR + RS. |
| Subtraction Property | If m /_ KLM = m /_ HGF, then m /_ KLM - m /_ KNL = m /_ HGF - m /_KNL. |
| Substitution Property | If m /_ 1 + m /_ 2 = 180 and m /_ 1 = m /_ 3, then m /_ 3 + m /_2 = 180. |
| Segment Addition Postulate | Point Y is between point X and Z if and only if XY + YZ = XZ. |
| Angle Addition Postulate | If D in in the interior of /_ ABC, then m /_ABD + m /_ DBC = m /_ ABC |
| The angles that form a linear pair are | supplementary |
| Vertical angles are | congruent |
| Two lines are perpendicular if and only if they | form congruent adjacent angles |
| The sum of the angle measures of a triangle is | 180 |
| In a polygon with n sides, the sum of the interior angle measure is | (n - 2) 180 |
| In a polygon with n sides, the sum of the exterior angle measure is | 360 |
| The opposite sides of a parallelogram are | congruent |
| The opposite angles of a parallelogram are | congruent |
| The diagonals of a parallelogram | bisect each other |
| The sum of the length of any two sides of a triangle is | greater than the length of the third |
| Inductive Reasoning | based upon observation and patterns |
| Deductive Reasoning | based upon facts, definitions, and accepted properties in a logical order to reach a conclusion |
| Congruent angles | Two angles that have the same measure |
| Two adjacent angles form a linear pair if | their nonshared rays form a straight angle |
| Bisector of an angle | A line or ray that divides the angle into two congruent angles |
| Complementary angles | Two angles whose measures add up to 90 |
| Supplementary angles | Two angles whose measures add up to 180 |
| perpendicular | Two lines, segments, rays, or planes that intersect to form right angles. |
| right angle | An angle whose measure is exactly 90 degrees. |
| midpoint | The point on a segment that divides it into two congruent segments. |
