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converse of a conditional
A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.
inverse of a conditional
A new statement formed by negating both the hypothesis and the conclusion.
contrapositive of a conditional
Formed by exchanging the hypothesis and the conclusion and negating both of them.
TT->T
Which of the following illustrates the truth value of the given conditional statement?
p: 10 > 7, q: 10 > 5 (p → q)
TT->T
Which of the following illustrates the truth value of the given conditional statement?
p: 10 > 7, q: 10 > 5 (q → p)
TF->F
Which of the following illustrates the truth value of the given conditional statement?
p: 10 > 7, q: 10 > 5 (p → ~q)
FT->T
Which of the following illustrates the truth value of the given conditional statement?
p: 10 > 7, q: 10 > 5 (~p →q)
TT->T
Which of the following illustrates the truth value of the given conditional statement?
p: 10 > 7, q: 10 > 5 (p → q)
FT->T
Which of the following illustrates the truth value of the given conditional statement?
p: 10 > 7, q: 10 > 5 (q → ~p)
Converse
If two angles have the same vertex, then they are adjacent.
Inverse
If two angles are not adjacent, then the angles to not have the same vertex
Contrapositive
If two angles do not have the same vertex, then the two angles are not adjacent.
Converse
If tomorrow is Wednesday, then today is Thursday.
Inverse
If Today is not Thursday, then tomorrow is not Wednesday
Contrapositive
If tomorrow is not Wednesday, then today is not Thursday.
Inverse
If a polygon is not a square, then it is not a rectangle.
Converse
If a polygon is a rectangle, then it is a square.
Contrapositive
If a polygon is not a rectangle, then it is not a square.
Converse
If the intersection of two lines is a point, then they intersect.
Inverse
If two lines do not intersect, then their intersection is not one point.
Contrapositive
If the intersection of two lines is not one point, then the two lines do not intersect.