Geometry Online! Name PRACTICE Logic G.1ab Date...
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Geometry Online! Name __________________________________________ PRACTICE – Logic – G.1ab Date _________Period _____ 1 Part I: Underline the hypothesis, and circle the conclusion of each conditional statement. Part II: Write each statement in if-then form.
Geometry Online! Name PRACTICE Logic G.1ab Date Periodteachers.henrico.k12.va.us/tucker/melson_m/_HGEO/03_Logic/1-3_G-1ab_PracticeKEY.pdfGeometry Online! Name _____ PRACTICE – Logic
Geometry Online! Name __________________________________________
PRACTICE – Logic – G.1ab Date _________Period _____
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Part I: Underline the hypothesis, and circle the conclusion of each conditional statement.
Part II: Write each statement in if-then form.
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________________
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___________
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_________
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____________
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____________________
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_____________________
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Oval
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Oval
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Oval
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Oval
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Oval
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Oval
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Line
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Line
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If you are a music lover then you buy cds.
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If an angle is obtuse then it has a measure greater than 90
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If an angle is right, then its measure is 90
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If its a dog then it has four legs.
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If two angles are vertical, then they are congruent.
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If it is a cat, then it chases mice.
Geometry Online! Name __________________________________________
PRACTICE – Logic – G.1ab Date _________Period _____
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Part III: Write the converse, inverse, and contrapositive of each conditional statement.
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If school is closed, then it is Saturday.
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If it is not Saturday, then school is not closed.
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If school is not closed, then it is not Saturday.
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If two angles have a common vertex, then they are adjacent.
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If two angles are not adjacent, then they do not have a common vertex.
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If two angles do not have a common vertex, then they are not adjacent
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If a segment is divided into two segments, then a line bisects that segment
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If a line does not bisect a segment, then the segment is not divided into two congruent parts.
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If a segment is not divided into two congruent parts, then a line does not bisect the segment.
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If two angles are supplementary, then they form a linear pair.
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If two angles do not form a linear pair, then they are not supplementary.
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If two angles are not supplementary, then they do not form a linear pair.
Geometry Online! Name __________________________________________
PRACTICE – Logic – G.1ab Date _________Period _____
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Part IV: Let p represent “Math is fun”, and let q represent “Math is difficult”. Translate the following into symbolic form. Translate the following from symbolic form to written form. Part V: Write the converse of each of the following conditional statements, and then write the biconditional with symbolic form in parenthesis.
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~p
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p V q
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~p ^ q
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Math is not difficult or Math is fun
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Therefore, Math is not difficult
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Math is fun if and only if it is not difficult.
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If an angle measures less than 90, then it is acute.
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An angle is acute iff its measure is less than 90
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q --> p
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p <--> q
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If an angles is straight, then its measure is 180.
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