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