Conditional, Converse, Inverse, Contrapostive
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (hypothesis) implies the second (conclusion).
2.
FLASHCARD QUESTION
Front
What is the converse of a conditional statement?
Back
The converse of a conditional statement 'If p, then q' is 'If q, then p.'
3.
FLASHCARD QUESTION
Front
What is the inverse of a conditional statement?
Back
The inverse of a conditional statement 'If p, then q' is 'If not p, then not q.'
4.
FLASHCARD QUESTION
Front
What is the contrapositive of a conditional statement?
Back
The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p.'
5.
FLASHCARD QUESTION
Front
How do you form the contrapositive of a statement?
Back
To form the contrapositive, negate both the hypothesis and conclusion of the original statement and switch their places.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
6.
FLASHCARD QUESTION
Front
Given: 'If it rains, then the ground is wet.' What is the converse?
Back
If the ground is wet, then it rains.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
7.
FLASHCARD QUESTION
Front
Given: 'If it rains, then the ground is wet.' What is the inverse?
Back
If it does not rain, then the ground is not wet.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
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