Write in words.Write in words.Is true?Is true?Is true?Notethat in thesequestions, and couldbe reversedand the answerswouldbe correct.
- A U.S. citizencan vote if and only if he or she is or moreyearsold.
- A wholenumberis primeif and only if it is an odd number.
- Pointsare collinearif and only if thereis a line that containsthe points.
- if only if and
Answers
- Hypothesis: dividesevenlyinto ; conclusion: is an evennumber.
- Hypothesis:A trianglehas threecongruentsides;conclusion:it is an equilateraltriangle.
- Hypothesis:A triangleis equiangular;conclusion:the triangleis equilateral.
- If is an evennumber, then dividesevenlyinto. True.
- If a triangledoesnot havethreecongruentsides,then it is not an equilateraltriangle.True.
- If a triangleis not equilateral,then it is not equiangular. True.
- If is the midpointof , then and. False( and couldboth be ,
, etc.). - If then
- Contrapositive
- Contrapositive
- he or she is or moreyearsold; a U. S. citizencan vote; is true; is true;
is true.- a wholenumberis an odd number; a wholenumberis prime; is false; is false;
is false.- a line containsthe points; the pointsare collinear;is is true; is true;
is true. - and ; ; is true; is false; is false.