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another name for an if- then statement
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terms list
conditional
another name for an if- then statement
hypothesis
the part following the if (in a conditional)
conclusion
the part following then (in a conditional)
truth value
true or false
converse
a conditional switches the hypothesis and conclusion
biconditional
when a conditional and its converse are true/ when a statement you get by connecting the conditional and its converse with the words if and only if
good definition
a statement that can halp you identify or classify an object
deductive reasoning
the process of reasoning logically from given statements to a conclusion
law of detachment
if a conditional is true and its hypothesis is true, then its conclusion is true
law of syllogism
allows you to state a conclusion from 2 true conditional statements when the conclusion of one statement is the hypothesis of the other statement
reflexive property
a=a
symmetric property
a=b, then b=a
segment addition postulate
if three points A, B, and C are collinear and B is between A and C, then AB + BC = AC
verticle angles
two angles whose sides form two pairs of opposite rays
adjacent angles
two coplanar angles with a common side, a comon vertex, and no common interior points
complementary angles
two angles whose measures have sum of 90/ the angles are complement of one another
supplementary angles
two angles whose sum is 180/ the angles are supplement of one another
theorem
the statement that you prove is true
paragraph proof
a written sentence in a paragraph that forms a proof
congruent supplements theorem
if two angles are supplements of the same angle (or of congruent angles) then the two angles are congruent
congruent and supplementary angle theorem
if two angles are congruent and supplementary, then each is a right angle
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