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conditional

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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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