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."
Use the reflexive property of congruence to complete the following statement VW ? overline W cong overline Box
The reflexive property of congruence states that any segment or angle is congruent to itself.
Therefore, the statement can be completed as follows:
VW ≅ VW.
Name the property of equality or congruence that justifies going from the first statement to the second statement angle C cong angle M and angle M cong angle Y; angle C cong angle Y Choose the correct answer below reflexive property of equality symmetric property of equality symmetric property of congruence addition property of equality multiplication property of equality division property of equality reflexive property of congruence transitive property of equality subtraction property of equality transitive property of congruence substitution property distributive property
The correct answer is the transitive property of congruence.
The transitive property of congruence states that if two angles (or segments) are congruent to the same angle (or segment), then they are congruent to each other.
Using the transitive property, we can go from angle C ≅ angle M and angle M ≅ angle Y to conclude that angle C ≅ angle Y.
Use the symmetric property of congruence to complete the following statement angle NSK cong angle AHV , then underline ? cong angle NSK; angle NSK cong angle AHV then angle Box cong angle NSK.
The symmetric property of congruence states that if two angles (or segments) are congruent to each other, then the order can be reversed.
Therefore, the statement can be completed as follows:
If angle NSK ≅ angle AHV, then angle BOX ≅ angle NSK.
the figure below, the measure of angle1=5x^ the measure of Omega = y ^ 0 and the measure of angle3=85^ Find the value of each variable x = Type a whole number ) y = Type a whole number )
Based on the given information, we have the following equations:
angle 1 = 5x
angle Ω = y
angle 3 = 85
From angle 3 = 85, we can conclude that angle Ω = angle 3 = 85.
Therefore, we can write:
y = 85
As for the value of x, we need additional information or equations to determine its value. Without any further information, we cannot solve for x.