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assignment2_answers - Answers to Some of Assignment 2 Part...

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Answers’to’Some’of’Assignment’2 Part’B.’Contrapositive ’ Note:’There’are’a’number’of’correct’ways’to’phrase’each’of’these’ contrapositive’statements,’so’your’answer’can’be’different’and’may’still’be’ correct.’Since’the’original’statements’are’all’true’theore ms,’then’so’should’ your’statement’be’true. ’ For’each’statement’below,’write’the’contrapositive. a) All equilateral triangles are isosceles If’a’triangle’is’not’isosceles,’then’it’is’not’equilateral. (You’can’rephrase’the’original’as:’If’a’triangle’is’equilate ral,’then’the’triangle’ is’isosceles.) ’ b) Any two equilateral triangles are similar. If’two’triangles’are’not’similar,’then’one’of’them’is’not’equilateral. Or If’a’pair’of’triangles’is’not’similar’then’this’is’not’a’pair’of’equilateral’ triangles.’
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