Converse, Inverse, Contrapositive

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21 Terms

1
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converse of a conditional

A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

2
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inverse of a conditional

A new statement formed by negating both the hypothesis and the conclusion.

3
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contrapositive of a conditional

Formed by exchanging the hypothesis and the conclusion and negating both of them.

4
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TT->T

Which of the following illustrates the truth value of the given conditional statement?

p: 10 > 7, q: 10 > 5 (p → q)

5
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TT->T

Which of the following illustrates the truth value of the given conditional statement?

p: 10 > 7, q: 10 > 5 (q → p)

6
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TF->F

Which of the following illustrates the truth value of the given conditional statement?

p: 10 > 7, q: 10 > 5 (p → ~q)

7
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FT->T

Which of the following illustrates the truth value of the given conditional statement?

p: 10 > 7, q: 10 > 5 (~p →q)

8
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TT->T

Which of the following illustrates the truth value of the given conditional statement?

p: 10 > 7, q: 10 > 5 (p → q)

9
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FT->T

Which of the following illustrates the truth value of the given conditional statement?

p: 10 > 7, q: 10 > 5 (q → ~p)

10
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Converse

If two angles have the same vertex, then they are adjacent.

11
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Inverse

If two angles are not adjacent, then the angles to not have the same vertex

12
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Contrapositive

If two angles do not have the same vertex, then the two angles are not adjacent.

13
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Converse

If tomorrow is Wednesday, then today is Thursday.

14
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Inverse

If Today is not Thursday, then tomorrow is not Wednesday

15
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Contrapositive

If tomorrow is not Wednesday, then today is not Thursday.

16
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Inverse

If a polygon is not a square, then it is not a rectangle.

17
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Converse

If a polygon is a rectangle, then it is a square.

18
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Contrapositive

If a polygon is not a rectangle, then it is not a square.

19
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Converse

If the intersection of two lines is a point, then they intersect.

20
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Inverse

If two lines do not intersect, then their intersection is not one point.

21
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Contrapositive

If the intersection of two lines is not one point, then the two lines do not intersect.