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38 Cards in this Set
- Front
- Back
conditional statement
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a type of logical statement
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if-then form
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if- hypothesis
then- conclusion |
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hypothesis
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is the first part of a conditional statement
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conclusion
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then part of a conditional statement
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converse
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switching the hypothesis and conclusion
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negation
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writing the negative statement
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inverse
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making the hypothesis and conclusion negative
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contrapositive
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switching and negating the hypothesis and conclusion
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equivialent statements
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when two statements are both true or false
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perpendicular lines
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two lines that intersect to form a right angle
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line perpendicular to a plane
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a line that intersects the plane in a point and is perpendicular to every line in the plane that it intersects
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biconditional statement
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a statement that contains the phrase "if and only if"
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deductive reasoning
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uses facts, definitions, and accepted properties in a logical order to write a logical argument
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logical argument
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an argument based on deductive reasoning
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law of detatchment
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if p->q is a true conditional statement and p is true, then q is true
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law of syllogism
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if p-> and q->r are true conditional statements, then p-r is true
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addition property of equality
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if a=b, then a+c = b+c
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subtraction property of equality
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if a=b, then a-c= b-c
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multiplication property of equality
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if a=b, then ac= bc
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division property of equality
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if a=b and c ≠ 0, then a÷ c= b÷c
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law of syllogism
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if p-> and q->r are true conditional statements, then p-> r is true
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addition property of equality
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if a=b, then a+c = b+c
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subtraction property of equality
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if a=b, then a-c= b-c
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multiplication property of equality
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if a=b, then ac= bc
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division property of equality
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if a=b and c ≠ 0, then a÷ c= b÷c
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reflexive property of equality
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for any real number a, a = a
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symmetric property of equality
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if a = b, then b = a
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transitive property of equality
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if a = b and b = c, then a = c
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substitution property of equality
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if a = b, the a can be substituted for b in any equation or expression
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reflexive property of segment congruence
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for any segment AB, (AB) is congruent to (AB)
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symmetric property of congruency
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if (AB) is congruent to (CD), then (CD) is congruent to (AB)
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transitive property of congruency
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if (AB) is congruent to (CD), and (CD) is congruent to (EF), then (AB) is congruent to (EF)
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paragragh proof
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a proof that can be written in paragragh form
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right angle coungruency theorum
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all right angles are congruent
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congruent supplements theorum
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if two angles are supplementary to the same angle (or to congruent angles) then they are congruent
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congruent compliments theorum
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if two angles are supplementary to the same angle (ot to congruent angles) then the two angles are congruent
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linear pair postulate
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if two angles form a linear pair, then they are supplementary
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vertical angles theorum
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vertical angles are congruent
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