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Geometry Ch. 2 Terms
Postulates, theorems, and terms(payton)
| Question | Answer |
|---|---|
| conditional statement | type of logical statement that has 2 parts, a hypothesis and conclusion |
| if-then form | form of conditional statement that uses the words "if" and "then" |
| hypothesis | The "if" part of a conditional statement |
| conclusion | the "then" part of a conditional statement |
| converse | the statement formed by switching the hypothesis and conclusion of a conditional statement |
| negation | the negative of a statement. the symbol is ~ |
| inverse | statement formed when you negate the hypothesis and conclusion of a conditional statement |
| contrapositive | statement formed when you negate the hypothesis and conclusion of the converse of a conditional statement |
| equivalent statement | 2 statements that are both true or both false |
| perpendicular lines | 2 lines that intersect to form a right angle |
| line perpendicular to a plane | the line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it |
| bi-conditional statement | a statement that contains the phrase "if and only if" |
| logical argument | argument based on deductive reasoning, which uses facts, definitions, and accepted properties in a logical order |
| theorem | true statement that follows as a result of other true statements |
| two-column proof | a type of proof written as numbered statements and reasons that show the logical order of an argument |
| paragraph proof | type of proof written in paragraph form |
| postulate 5 | through any 2 points there exist exactly 1 line |
| postulate 6 | a line contains at least 2 points |
| postulate 7 | if 2 lines intersect, then their intersection is exactly 1 point |
| postulate 8 | through any 3 non-collinear points there exists exactly 1 plane |
| postulate 9 | a plane contains at least 3 non-collinear points |
| postulate 10 | if 2 points lie in a plain, then the line containing them lies in the plane |
| postulate 11 | if 2 planes intersect, then their intersection is a line |
| postulate 12 | if 2 angles form a linear pair, then they are supplementary |
| 2.1 properties of segment congruence | reflexive: for any segment AB, AB = AB symmetric: if AB = CD, then CD =AB transitive: if AB = CD, and CD = EF, then AB = EF |
| 2.2 properties of angle congruence | reflexive: for any angle A,<A = <A symmetric: if <A = <B, then <B = <A transitive: if <A = <B and <B = <C, then <A = <C |
| 2.3 right angle congruence | all right angles are congruent |
| 2.4 congruent supplements | if 2 angles are supplementary to the same angle then they are congruent |
| 2.5 congruent complements | if 2 angles are complement to the angle then the 2 angles are congruent |
| 2.6 vertical angles | vertical angles are congruent |
Created by:
payton1
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