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000 DHS Geometry 1-2
Anderson Ch 1-2: Definitions IFF form
| Question | Answer |
|---|---|
| midpoint | A point is the midpoint of a segment IF AND ONLY IF it cuts the segment into 2 congruent segments. |
| perpendicular lines | Two lines are perpendicular IF AND ONLY IF they form a right angle. |
| angle bisector | A ray is an angle bisector IF AND ONLY IF it cuts the angle into 2 congruent angles. |
| congruent angles | Two angles are congruent IF AND ONLY IF they have equal measures. |
| congruent segments | Two segments are congruent IF AND ONLY IF they have equal measures. |
| segment bisector | A point, line or ray is a segment bisector IF AND ONLY IF it intersects the segment at its midpoint. |
| acute angle | An angle is an acute angle IF AND ONLY IF its measure is between 0 and 90 (0<m<90). |
| right angle | An angle is a right angle IF AND ONLY IF its measure is 90. |
| obtuse angle | An angle is an obtuse angle IF AND ONLY IF its measure is between 90 and 180 (90<m<180). |
| complementary angles | Two angles are complementary angles IF AND ONLY IF the sum of their measures is 90. |
| supplementary angles | Two angles are supplementary angles IF AND ONLY IF the sum of their measures is 180. |
| adjacent angles | Two angles are adjacent angles IF AND ONLY IF they share a common vertex and side, but have no common interior points. |
| linear pair | Two angles are a linear pair IF AND ONLY IF their non-common sides are opposite rays. |
| vertical angles | Two angles are vertical angles IF AND ONLY IF their sides form two pairs of opposite rays and they are not adjacent. |
| hypothesis | The "if" part of an If...then... statement. |
| conclusion | The "then" part of an If...then... statement. |
| conditional statement | If p, then q. |
| converse of If p, then q. | If q, then p. |
| inverse of If p, then q. | If not p, then not q. |
| contrapositive of If p, then q. | If not q, then not p. |
| biconditional statement | A statement that contains IF AND ONLY IF and represents a conditional statement and its converse. |
| postulate | A statement that is accepted without proof. |
| theorem | A statement that can be proven. |
| counterexample | A specific case for which the conjecture is false. |
| conjecture | An unproven statement that is based on observations. |
| inductive reasoning | Reasoning using observed patterns to form a conjecture. |
| deductive reasoning | Reasoning using facts, definitions, and properties to form a logical argument. |
Created by:
dekalbmath
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