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.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
2.
FLASHCARD QUESTION
Front
What is the hypothesis in a conditional statement?
Back
The hypothesis is the part of the conditional statement that follows the 'if'. It represents the condition that must be met for the conclusion to be true.
3.
FLASHCARD QUESTION
Front
What is the conclusion in a conditional statement?
Back
The conclusion is the part of the conditional statement that follows the 'then'. It represents the result or outcome that follows from the hypothesis.
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
4.
FLASHCARD QUESTION
Front
What is the converse of a conditional statement?
Back
The converse of a conditional statement is formed by switching the hypothesis and conclusion. For example, the converse of "If P, then Q" is "If Q, then P."
5.
FLASHCARD QUESTION
Front
What is a biconditional statement?
Back
A biconditional statement is a statement that combines two conditional statements and is true if both statements are true. It is often written as "P if and only if Q."
6.
FLASHCARD QUESTION
Front
How do you write the contrapositive of a conditional statement?
Back
The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion and switching them. For example, the contrapositive of "If P, then Q" is "If not Q, then not P."
Tags
CCSS.L.2.1F
CCSS.L.8.1C
CCSS.L.8.3A
7.
FLASHCARD QUESTION
Front
What does it mean for a conditional statement to be true?
Back
A conditional statement is true unless the hypothesis is true and the conclusion is false. In that case, the statement is false.
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