Geometry Terms
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34 terms
Terms | Definitions |
|---|---|
 segment addition postulate | If B is between A and C, then AB+BC=AC sum of the parts equals the whole |
| linear pair postulate | If two angles form a linear pair, then they are supplementary |
| right angles congruence theorem | all right angles are congruent |
| congruent supplements theorem | if two angles are supplementary to the same angle (or to congruent angles) then they are congruent |
| congruent complements theorem | if two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent |
| vertical angles congruence theorem | Vertical angles are congruent |
| deductive reasoning | reasoning in which a conclusion is reached by stating a general principle and then applying that principle to a specific case (The sun rises every morning; therefore, the sun will rise on Tuesday morning.) |
| inductive reasoning | reasoning from detailed facts to general principles |
| law of detachment | if the hypothesis of a true conditional statement is true, then the conclusion is also true |
| law of syllogism | If "p-q" and "q-r" are true statements, then "p-r" is a true statement. |
| conditional statement | a type of logical statement that has two parts, a hypothesis and a conclusion |
| complementary angle | two angles that add up to 90 degrees |
| supplementary angle | When the sum of the measures of a pair of angles add up to 180° |
| adjacent angle | 2 angles that have the same vertex and a common ray but no interior points in common |
| linear pair | two adjacent angles whose non-common sides are opposite rays supplementary angle |
| conjecture | a statement that is believed to be true without proof |
| counter example | an example that shows a conjecture is false |
| angle addition postulate | if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC |
| bi conditional statement | a statement that contains the phrase "if and only if" |
| reflexive property | a=a |
| symmetric property | If a=b, then b=a |
| transitive property | If a=b and b=c, then a=c |
| converse | the statement formed by switching the hypothesis and conclusion of a conditional statement |
| inverse | the statement formed when you negate the hypothesis and conclusion of a conditional statement |
| contra-positive | switches and negates the parts of an "if...then" statement |
| adjacent angle | 2 angles that have the same vertex and a common ray but no interior points in common |
| substitution property | If a=b, then a can be substituted for b in any equation or expression |
| symmetric property | If a=b, then b=a |
| vertical angles | a pair of opposite congruent angles formed by intersecting lines |
| congruent angles | Angles that have equal measures |
| division property | if a=b, then a/c = b/c |
| addition property | if a=b, then a+c=b+c |
| subtraction property | If a=b, then a-c=b-c |
| parallel lines | coplanar lines that do not intersect |
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