Determine if the conditional is true or false. If it is false, find a counterexample . If a polygon is an octagon, then it has eight sides. Choose the correct answer below . . The conditional is falseOctagons do not have eight sides . . The conditional is false. All octagons have eight sides . The conditional is true . The conditional is falseA regular octagon has more than 8 sides .
The correct answer is:
The conditional is true.
Write the converseinverse, and contrapositive of the statement belowDetermine the truth value of each statementIf a statement is false, give a counterexample am in then am in the South the converse of the conditional Choose the correct answer below am in the South, then am not in am not in the Souththen am not in Mississippi . am not in Mississippi , then am not in the South am in the South , then I am in Mississippi Determine the truth value of the converse Choose the correct answer below A The converse is false I can be in Mississippi and not be in the South B. The converse is true The converse is false I can be in Alabama and be in the South
The original statement is:
"If I am in the South, then I am in Mississippi."
The converse of the conditional would be:
"If I am in Mississippi, then I am in the South."
The inverse of the conditional would be:
"If I am not in the South, then I am not in Mississippi."
The contrapositive of the conditional would be:
"If I am not in Mississippi, then I am not in the South."
To determine the truth value of the converse, we need to assess if the converse statement is always true or if there could be counterexamples.
The statement "If I am in Mississippi, then I am in the South" is true, as being in Mississippi implies being in the South. Therefore, the converse is true.
The correct answer is:
B. The converse is true.
Determine the truth value of the inverseChoose the correct answer below . The inverse is true. . The inverse is false. I can be in Alabama and still be in the South The inverse is falseI can be in Mississippi and not be in the South Write the contrapositive of the conditional Choose the correct answer below A. am not in the South , then I am in Mississippi . am not in Mississippi , then am not in the South . . If am not in the South , then I am not in Mississippi . am in the South , then am in Mississippi
The inverse of the conditional statement "If I am in the South, then I am in Mississippi" would be:
"If I am not in the South, then I am not in Mississippi."
To determine the truth value of the inverse, we need to assess if the inverse statement is always true or if there could be counterexamples.
The statement "If I am not in the South, then I am not in Mississippi" is false because it is possible to be in Mississippi without being in the South (e.g. if one is in the northern part of Mississippi, which is not considered part of the South region).
Therefore, the correct answer is:
The inverse is false.
Write the two statements that form the biconditional An angle is a right angle if and only if it measures 90 What are the two conditional statements that form this biconditional? Select the two that apply A. An angle is a right angle if and only if it measures 90 B. An angle measures 90 C. An angle is a right angle D. If an angle is a right angle, then it measures 90 E. An angle measures 90 if and only if it is a right angle F. If an angle measures 90 , then it is a right angle
The two conditional statements that form the biconditional "An angle is a right angle if and only if it measures 90" are A. "An angle is a right angle if and only if it measures 90" and E. "An angle measures 90 if and only if it is a right angle."
Write the statement as a biconditional A pentagon is a five-sided polygon Choose the correct answer below . A polygon is a pentagon if and only if it is not five-sided . OB. A polygon is a pentagon if and only if it is five-sided . If a polygon is five-sided , then it is a pentagon . OD. If a polygon is a pentagon , then it is five -sided
The correct answer is OB.
"A polygon is a pentagon if and only if it is five-sided."