Conditional statements
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+5
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form 'If P, then Q'.
Tags
CCSS.L.11-12.6
CCSS.L.8.6
CCSS.L.9-10.6
CCSS.W.11-12.2D
CCSS.W.9-10.2D
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'. It switches the hypothesis and conclusion.
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'. It negates both the hypothesis and conclusion.
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'. It switches and negates both the hypothesis and conclusion.
5.
FLASHCARD QUESTION
Front
Write the statement 'If it rains, then the ground is wet' in if-then form.
Back
If it rains, then the ground is wet.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
6.
FLASHCARD QUESTION
Front
Identify the hypothesis and conclusion in the statement: 'If a student studies, then they will pass the exam.'
Back
Hypothesis: A student studies; Conclusion: They will pass the exam.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
7.
FLASHCARD QUESTION
Front
What is the relationship between a statement and its contrapositive?
Back
A statement and its contrapositive are logically equivalent, meaning they have the same truth value.
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