Conditional and Biconditional Statements
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Mathematics
•
10th Grade
•
Hard
+2
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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 true for the conclusion to follow.
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.
4.
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.
5.
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.
6.
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.
7.
FLASHCARD QUESTION
Front
What is a biconditional statement?
Back
A biconditional statement is a statement that combines a conditional statement and its converse, written as 'P if and only if Q'. It is true when both parts are either true or false.
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